At − 12.0 ∘ C , a common temperature for household freezers, what is the maximum mass of sorbitol (C6H14O6) you can add to 2.00 kg of pure water and still have the solution freeze? Assume that sorbitol is a molecular solid and does not ionize when it dissolves in water.

Answer:

2 µs

Explanation:

Answer:

108.04g

Explanation:

Looking at the balanced chemical equation theoretically, we can see that 3 moles of chlorine yielded 3 moles of HCl. This means that they have equal mole ratio.

Now let’s get the actual reactive moles. The number of moles is obtained by dividing the mass by the molar mass.

The molecular mass of chlorine gas is (2 * 35.5) = 72g/mol

The number of moles is thus 210.3/71 = 2.96 moles

Since the number of moles are equal, the number of moles of HCl produced too is 2.96 moles.

Now to get the mass of HCl produced, we multiply the number of moles by the molar mass of HCl. The molar mass of HCl is 36.5g/mol

The mass is thus 2.96 * 36.5 = 108.04g

Answer: The molecular formula for the given organic compound is [tex]C_4H_8O_2[/tex]

Explanation:

We are given:

Percentage of C = 54.5 %

Percentage of H = 9.1 %

Percentage of O = 36.4 %

Let the mass of compound be 100 g. So, percentages given are taken as mass.

Mass of C = 54.5 g

Mass of H = 9.1 g

Mass of O = 36.4 g

To formulate the empirical formula, we need to follow some steps:

Step 1: Converting the given masses into moles.

Moles of Carbon =[tex]\frac{\text{Given mass of Carbon}}{\text{Molar mass of Carbon}}=\frac{54.5g}{12g/mole}=4.54moles[/tex]

Moles of Hydrogen = [tex]\frac{\text{Given mass of Hydrogen}}{\text{Molar mass of Hydrogen}}=\frac{9.1g}{1g/mole}=9.1moles[/tex]

Moles of Oxygen = [tex]\frac{\text{Given mass of oxygen}}{\text{Molar mass of oxygen}}=\frac{36.4g}{16g/mole}=2.28moles[/tex]

Step 2: Calculating the mole ratio of the given elements.

For the mole ratio, we divide each value of the moles by the smallest number of moles calculated which is 2.28 moles.

For Carbon = [tex]\frac{4.54}{2.28}=1.99\approx 2[/tex]

For Hydrogen  = [tex]\frac{9.1}{2.28}=3.99\approx 4[/tex]

For Oxygen  = [tex]\frac{2.28}{2.28}=1[/tex]

Step 3: Taking the mole ratio as their subscripts.

The ratio of C : H : O = 2 : 4 : 1

Hence, the empirical formula for the given compound is [tex]C_2H_{4}O_1=C_2H_4O[/tex]

Mass of empirical formula = [tex]C_2H_4O[/tex]  = 2(12) + 4(1) + 16 = 44 g/eq.

Now we have to determine the molar mass of compound by using ideal gas equation.

[tex]PV=nRT\\\\PV=\frac{w}{M}RT[/tex]

where,

P = pressure of gas = 1.00 atm

V = volume of gas = 120 mL = 0.120 L

T = temperature of gas = [tex]100^oC=273+100=373K[/tex]

w = mass of gas = 0.345 g

M = molar mass of gas = ?

R = gas constant = 0.0821 L.atm/mol.K

Now put all the given values in the above formula, we get:

[tex]PV=\frac{w}{M}RT[/tex]

[tex](1.00atm)\times (0.120L)=\frac{0.345g}{M}\times (0.0821L.atm/mol.K)\times (373K)[/tex]

[tex]M=88.04g/mol[/tex]

For determining the molecular formula, we need to determine the valency which is multiplied by each element to get the molecular formula.

The equation used to calculate the valency is :

[tex]n=\frac{\text{molecular mass}}{\text{empirical mass}}[/tex]

We are given:

Mass of molecular formula = 88.04 g/mol

Mass of empirical formula = 44 g/mol

Putting values in above equation, we get:

[tex]n=\frac{88.04g/mol}{44g/mol}=2[/tex]

Multiplying this valency by the subscript of every element of empirical formula, we get:

[tex]C_2H_4O=(C_2H_4O)_n=(C_2H_4O)_2=C_4H_8O_2[/tex]

Thus, the molecular formula for the given compound is [tex]C_4H_8O_2[/tex]

The empirical formula of the given compound is [tex]\bold {C_2H_4O}[/tex]. The empirical formula is the smallest whole-number ratio of the compound.

Assume the mass of the compound is 100 g. So, the percentages given are taken as mass.

Mass of C = 54.5 g  = 4.54 moles

Mass of H = 9.1 g  = 9.1 moles

Mass of O = 36.4 g = 2.28 moles

To formulate the empirical formula, Calculate the molar ratio by dividing moles by the smallest number,

For the mole ratio, we divide each value of the moles by the smallest number of moles, we get.

For Carbon = 2

For Hydrogen  =4

For Oxygen  = 1

Therefore, the empirical formula of the given compound is [tex]\bold {C_2H_4O}[/tex].

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Answer:

A. Yes, the calculated density in agreement with the tabulated value.

B. 19.28 mL of volume of cyclohexane should be used.

C. 742.20 is the mass of the sphere of lead.

Explanation:

A.

Volume of the liquid = V = 25.0 mL

Mass of the liquid = m = 21.95 g

Density of the liquid = d

[tex]d=\frac{m}{V}[/tex]

[tex]=\frac{21.95 g}{25.0 mL}=0.878 g/mL[/tex]

Density mentioned in the report book = d' = 0.878 g/mL

d' = d = 0.878 g/mL

Yes, the calculated density in agreement with the tabulated value.

B.

Volume of the liquid cyclohexane= V = ?

Mass of the liquid cyclohexane= m = 15.0 g

Density of the liquid cyclohexane = d = 0.7781 g/mL

[tex]d=\frac{m}{V}[/tex]

[tex]V=\frac{15.0 g}{0.7781 g/mL}=19.28 mL[/tex]

19.28 mL of volume of cyclohexane should be used.

C.

Diameter of the ball = d = 5.0 cm

Radius of the ball = r = 0.5 × d = 2.5 cm

Volume of sphere ,V= [tex]\frac{4}{3}\pi r^3[/tex]

[tex]V = \frac{4}{3}\times 3.14\times (0.25 cm)^3=65.45 cm^3[/tex]

Volume of the spherical lead ball = V  

Mass of the  spherical lead ball= m = ?

Density of the  spherical lead ball = d = [tex]11.34 g/cm^3[/tex]

[tex]d=\frac{m}{V}[/tex]

[tex]m=d\times V=11.34 g/cm^3\times 65.45 cm^3=742.20 g[/tex]

742.20 is the mass of the sphere of lead.

A. The tabulated density of benzene  [tex]15^0 C[/tex] is 0.878 g/mL. B. 19.28 mL of volume of cyclohexane should be used. C. The mass of the lead sphere is approximately 743.5 g.

A. To determine if the calculated density of the liquid matches the tabulated value for benzene, we need to calculate the density using the provided data and then compare it to the handbook value. The density is calculated by dividing the mass of the liquid by its volume.

Given:

Mass of the liquid = 21.95 g

The volume of the liquid = 25.0 mL

Calculated density = [tex]Mass / Volume = 21.95 g / 25.0 mL = 0.878 g/mL[/tex]

The tabulated density of benzene  [tex]15^0 C[/tex] is 0.878 g/mL. Since the calculated density matches the tabulated value, the liquid in the bottle is likely benzene.

B. To find the volume of cyclohexane required for the experiment, we can use the formula: Volume = Mass / Density

Given:

Mass of cyclohexane needed = 15.0 g

Density of cyclohexane at [tex]25^0C[/tex] = 0.7781 g/mL

Volume of cyclohexane = 15.0 g / 0.7781 g/mL = 19.28 mL

Therefore, 19.28 mL of cyclohexane should be used for the experiment.

C. The mass of the lead sphere can be calculated using the formula for the volume of a sphere and the density of lead:

The volume of a sphere = [tex](4/3)\pi r^3[/tex]

Density = Mass / Volume

Given:

The diameter of the lead sphere = 5.0 cm

Radius of the lead sphere = Diameter / 2 = 5.0 cm / 2 = 2.5 cm

Density of lead = [tex]11.34 g/cm^3[/tex]

The volume of the lead sphere =[tex](4/3)\pi (2.5 cm)^3 =20.94375\pi cm^3[/tex]

Mass of the lead sphere = Density — Volume = [tex]11.34 g/cm^3 - 20.94375\pi cm^3= 11.34 g/cm^3- 65.45902 cm^3= 743.5 g[/tex]

Therefore, the mass of the lead sphere is approximately 743.5 g.

Answer:

HgBr2 conducts when molten because there are mobile ions in molten HgBr which allows flow of current when an electrical potential difference is introduced to the HgBr in molten state

However  HgBr2 does not conduct in the solid state as the ions are fixed in the solid HgBr2 lattice structure

Mercury, which is a metal in its natural form conducts both in the solid and molten states as the delocalized electrons are able to move both in the solid and molten mercury states and as such current flows through mercury when there is an electrical potential difference placed across it

Explanation:

Electricity or electric current flow is the term used to describe the state of movement or flow of matter that carries an electrical charge

It is the steady movement of or flow of electrons. The moving electrons transfer electrical charge round an electrical circuit. In metals, there are freely shared electrons between individual atoms so as to efficiently conduct electricity and so when an electrical potential difference is placed across a piece of  metallic object an electron is readily displaced by another electron entering from one end and exiting from the other end of the electrical potential difference

Mercury bromide and mercury exhibit electrical conductivity in both solid and molten states due to the presence of freely mobile, charged entities. In the solid state, ionic compounds like mercury bromide are not conductive, but they become conductive when molten.

In both the solid and molten states, mercury bromide and mercury demonstrate electrical conductivity due to the presence of freely mobile, charged entities. In the solid state, ionic compounds like mercury bromide are not electrically conductive because their ions are unable to flow. However, in the molten state, the ions are able to move freely through the liquid, allowing for electrical conductivity.

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Answer:

-k slope

The term No is the y intercept(does not mean NO) y-intercept

Explanation:

For a straight line graph, the normal equation could be written as

y = mx + c

Where m is the slope and c is the y intercept.

Writing the equation is the form of y = mx + c gives the following;

lnN = -kt + No

As obtained from the question, t is plotted in the x-axis, while lnN is the plot on the y-axis.

Now, we are asked to obtain the slope and the y-intercept. It can be seen that the slope is the coefficient of the term x in this case t. Hence, our slope is -k.

The y-intercept is the other term which in this case is No

Answer:I beams can withstand greater Moment compared to other beams like rectangular beam when given the same stress.

Rectangular beams are better for casting concrete beams, and for making beams of high and low moment of inertia and its centriod is easy to understand.

Explanation: I beams are beams usually used in metal work and in making beams of high moments of inertia.

Rectangular beams are beams whose centroid ( the geometric center of a regular rectangular beam) are easily identifiable and they can be built to give high and low moment of inertia. This is one of the advantage of using rectangular beams.

The advantage of use of I beam over rectangular beam has been the wide spread and high moment of inertia.

In the construction industry, for the support to the buildings and the structure, beams of different shapes has been used. I beam are the steel or metal beams that have high functionality.

I beam has been made with the shape of rolled joist. They have been installed in the building because of their high moment of inertia.

I beam has been working with the spread of moment of inertia in the structure, that has been able to bend and withstand the pressure more than compared to the rectangular cross-section with concentrated inertia.

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Answer: The partial pressure of [tex]NO_2[/tex] is 0.426 atm and that of [tex]N_2O_4[/tex] is 0.374 atm

Explanation:

Assuming ideal gas behavior, the equation follows:

PV = nRT

We know that:

[tex]\text{Density}=\frac{\text{Mass}}{\text{Volume}}[/tex]

Rearranging the above equation:

[tex]M=\frac{dRT}{P}[/tex]

where,

d = density of gas mixture = 2.2 g/L

R = Gas constant = [tex]0.0821\text{ L atm }mol^{-1}K^{-1}[/tex]

T = temperature = [tex]26^oC=[26+273]K=299K[/tex]

P = pressure of the mixture = 0.80 atm

M = average molar mass of mixture

Putting values in above equation, we get:

[tex]M_{avg}=\frac{2.2g/L\times 0.0821\text{ L atm }mol^{-1}K^{-1}\times 299}{0.80atm}\\\\M_{avg}=67.5g/mol[/tex]

We know that:

Molar mass of [tex]NO_2[/tex] = 46 g/mol

Molar mass of [tex]N_2O_4[/tex] = 92 g/mol

Let the mole fraction of [tex]NO_2[/tex] be 'x' and that of [tex]N_2O_4[/tex] be '(1-x)'

For average molar mass calculation:

[tex]M_{avg}=M_{NO_2}\chi_{NO_2}+M_{N_2O_4}\chi_{N_2O_4}[/tex]

Putting values in above equation:

[tex]67.5=46x+92(1-x)\\\\x=0.533[/tex]

Mole fraction of [tex]N_2O_4[/tex] = (1 - x) = (1 - 0.533) = 0.467

To calculate the partial pressure, we use the equation given by Raoult's law, which is:

[tex]p_{A}=p_T\times \chi_{A}[/tex]

We are given:

[tex]p_T=0.80atm\\\chi_{NO_2}=0.533[/tex]

Putting values in above equation, we get:

[tex]p_{NO_2}=0.80atm\times 0.533\\\\p_{NO_2}=0.426atm[/tex]

We are given:

[tex]p_T=0.80atm\\\chi_{N_2O_4}=0.467[/tex]

Putting values in above equation, we get:

[tex]p_{N_2O_4}=0.80atm\times 0.467\\\\p_{N_2O_4}=0.374atm[/tex]

Hence, the partial pressure of [tex]NO_2[/tex] is 0.426 atm and that of [tex]N_2O_4[/tex] is 0.374 atm

Answer:

The climate of Boston is so different from the climate of Barcelona because regional climate does not depend only on latitude.  The flow of ocean current and its temperature causes this different climates. East coast cities such as Boston have a continental climate because prevailing westerly winds continually bring them under the influence of continental air masses while westerlies bring maritime air masses and therefore a maritime climate to the coast cities such as Barcelona and others.

Answer:

w/v% = gm per 100 ml

75gm X gm 7500

------- = ------ == --------

1500ml 100ml 1500X

X=5%

The question is incomplete, here is the complete question:

A 50.60 mL sample of an ammonia solution is analyzed by titration with HCl. The reaction is given below.

[tex]NH_3(aq.)+H^+(aq.)\rightarrow NH_4^+(aq.)[/tex]

It took 38.33 mL of 0.0944 M HCl to titrate (react completely with) the ammonia. What is the concentration of the original ammonia solution?

Answer: The concentration of original ammonia solution is 0.0715 M

Explanation:

To calculate the concentration of base, we use the equation given by neutralization reaction:

[tex]n_1M_1V_1=n_2M_2V_2[/tex]

where,

[tex]n_1,M_1\text{ and }V_1[/tex] are the n-factor, molarity and volume of acid which is HCl

[tex]n_2,M_2\text{ and }V_2[/tex] are the n-factor, molarity and volume of base which is [tex]NH_3[/tex]

We are given:

[tex]n_1=1\\M_1=0.0944M\\V_1=38.33mL\\n_2=1\\M_2=?M\\V_2=50.60mL[/tex]

Putting values in above equation, we get:

[tex]1\times 0.0944\times 38.33=1\times M_2\times 50.60\\\\M_2=\frac{1\times 0.0944\times 38.33}{1\times 50.60}=0.0715M[/tex]

Hence, the concentration of original ammonia solution is 0.0715 M

Answer:

The molar solubility of nitrogen gas is [tex]1.32\times 10^{-3}mol/L[/tex].

Explanation:

Henry's law states that the amount of gas dissolved or molar solubility of gas is directly proportional to the partial pressure of the liquid.

To calculate the molar solubility, we use the equation given by Henry's law, which is:

[tex]C_{N_2}=K_H\times p_{liquid}[/tex]

where,

[tex]K_H[/tex] = Henry's constant = [tex]6.26\times 10^{-4}mol/L.atm[/tex]

[tex]p_{N_2}[/tex] = partial pressure of nitrogen gas

Total air pressure = P = 2.71 atm

Percentage of nitrogen in air = 78.09%

Mole fraction of nitrogen ,[tex]\hi_{N_2}= 0.7809[/tex]

[tex]p_{N_2}=P\times \chi_{N_2}=2.71 atm\times 0.7809[/tex]

Putting values in above equation, we get:

[tex]C_{N_2}=6.26\times 10^{-4}mol/L.atm\times 2.71 atm\times 0.7809\\\\C_{N_2}=1.32\times 10^{-3}mol/L[/tex]

Hence, the molar solubility of nitrogen gas is [tex]1.32\times 10^{-3}mol/L[/tex].

The solubility of N₂ in a diver's blood at 2.71 atm pressure and 25.0 C temperature is calculated using Henry's law to be 1.323 x 10⁻³ mol/L, assuming a mole fraction of N₂ of 0.78.

The solubility of N₂ in a diver's blood at a total air pressure of 2.71 atm and a temperature of 25.0 C can be determined using Henry's law, which states that the solubility of a gas in a liquid is directly proportional to the partial pressure of that gas above the liquid. In this case, the Henry's law constant k for N₂ is given as 6.26 x 10⁻⁴ mol/(L·atm).

Assuming the composition of the air is the same as on land with a mole fraction of N₂ being 0.78 (from the given standard composition of dry air), the partial pressure of N₂ is 0.78 x 2.71 atm = 2.1138 atm. Applying Henry's law:

Solubility = k × (partial pressure of N₂)

Solubility = 6.26 x 10⁻⁴ mol/(L·atm) × 2.1138 atm

Solubility = 1.323 x 10-3 mol/L

Therefore, the solubility of N₂ in the diver's blood at the given conditions is 1.323 x 10⁻³ mol/L.

Answer:

(A) An investor will exercise the option to put the bond if yields rise significantly

Explanation:

A put option on the bond is a mechanism to allow the buyer of the bond the ability to compel the lender to repay the principal on the bond. The put option offers the buyer of the bond the ability to collect the principal of the bond anytime they choose until maturity for any purpose.

Recall that once the price drops (that is, the yield increases), put options are exercised. If the yield significantly increased, the put choice on a municipal bond is executed.

Answer:

Law of definite proportion

Explanation:

As per law of definite proportion, ratio of elements present in a compound is always fixed irrespective of the  source, amount and method of preparation.

In the given case, the hydrogen and oxygen react with each other to form a compound. The ratio of oxygen and hydrogen is fixed which is 8 : 1 and this ratio does not change upon changing amount of oxygen and hydrogen.

So, the this experiment support the law of definite proportion.

Therefore, the correct option is option 4

Greenhouse gases trap energy in the atmosphere.

Explanation:

Greenhouses gases trap the radiation, especially long infrared wavelengths, that emanate from the earth's surface after solar radiation hits the earth’s surface.  These infrared wavelengths are electromagnetic radiation that are significant in heat transfer. Mostly a higher percentage of this radiation from the earth’s surface escapes into space. Trapping this radiation in the atmosphere causes warming of the atmosphere - a phenomenon called greenhouse effect. This is why an increase in greenhouse gases causes an increase in global temperatures and subsequently drives climate change.

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Answer: False

Explanation:

From definition dynamic equilibrium is a state of balance between continuing processes. When the rate of evaporation equals the rate of condensation the system has reached a dynamic equilibrium.

However, it is possible, to disturb a system that is in dynamics equilibrium by changing conditions of the system. In fact anything that changes the thermodynamic state of the system will disturb the system and it will no longer be at equilibrium.

An increase in temperature to the system will favour evaporation more than condensation. Molecules with higher kinetic energy will escape the system.

Answer:

option c, 0.1 M [tex]AlCl_3[/tex]

Explanation:

Addition of non-volatile solute to a solvent decreases its vapour pressure which results in decrease in melting point.

Decrease in melting point is known as depression in freezing point. the depression in freezing point is related with molality and no. of ions as follows:

[tex]\Delta T_f = imK_f[/tex]

Where, i is von't Hoff factor, m is molatilty and ΔTf  is depression in freezing point.

As, in the given case concentration of all the solution is same, therefore, depression in freezing point will depend upon the no. of ions produced by the ionization of the salts in the aqueous solution.

In case of NaCl, the no. of ions produced will be 2.

Therefore, value of i will be 2

In case of [tex]MgCl_2[/tex], the no. of ions produced will be 3.

Therefore, value of i will be 3

In case of [tex]AlCl_3[/tex], the no. of ions produced will be 4.

Therefore, value of i will be 4.

More, the value of van't Hoff factor, more will be depression in freezing point.

Therefore, assuming the given solution to be aqueous, the solution expected to have lowest freezing point is 0.1 M  [tex]AlCl_3[/tex].

The correct option is b. 0.1 M MgCl2 would be expected to have the lowest freezing point.

To understand why 0.1 M MgCl2 has the lowest freezing point, we need to consider the colligative properties of solutions, specifically the freezing point depression. The freezing point depression is directly proportional to the number of particles (ions or molecules) in the solution. When a solute is dissolved in a solvent, it dissociates into ions, and the more ions it dissociates into, the greater the freezing point depression.

Let's analyze each of the given solutions:

a. 0.1 M NaCl: Sodium chloride (NaCl) dissociates into two ions in solution, Na+ and Cl-. Therefore, the total number of particles in solution is 2 times the concentration of NaCl, which is 0.2 moles of particles per liter.

b. 0.1 M MgCl2: Magnesium chloride (MgCl2) dissociates into three ions in solution, Mg2+ and 2Cl-. Therefore, the total number of particles in solution is 3 times the concentration of MgCl2, which is 0.3 moles of particles per liter.

c. 0.1 M AlCl3: Aluminum chloride (AlCl3) can dissociate into four ions in solution, Al3+ and 3Cl-. However, AlCl3 is not fully dissociated in aqueous solution due to its Lewis acid behavior and the formation of complex ions such as AlCl4-. Assuming complete dissociation for simplicity, which is not the case in reality, the total number of particles in solution would be 4 times the concentration of AlCl3, which is 0.4 moles of particles per liter.

Since MgCl2 dissociates into the most number of ions compared to NaCl and AlCl3 (assuming complete dissociation for AlCl3), it will have the greatest effect on freezing point depression. Therefore, 0.1 M MgCl2 is expected to have the lowest freezing point among the given options.

It is important to note that in reality, the actual freezing point depression of AlCl3 would be less than calculated here due to its incomplete dissociation and complex ion formation. This further supports the conclusion that MgCl2 would have the lowest freezing point, as AlCl3 would not reach the expected freezing point depression based on complete dissociation.

Answer:

                   Option-4 (3:2) is the correct answer.

Explanation:

Following steps are taken to balance the given unbalanced chemical equation.

Step 1: Write the unbalanced chemical equation,

                         N₂ +  H₂ →  NH₃

Step 2: Balance Nitrogen Atoms;

There are 2 nitrogen atoms on left hand side and 1 nitrogen atoms on right hand site therefore, to balance them multiply NH₃ on right hand side by 2 i.e.

                         N₂ +  H₂ →  2 NH₃

Step 3: Balance Hydrogen Atoms;

Now, there are 2 hydrogen atoms on left hand side and 6 hydrogen atom on right hand site therefore, to balance them multiply H₂ on left hand side by 3 i.e.

                         N₂ +  3 H₂ →  2 NH₃

Now, the equation is balanced.

Step 4: Finding out mole ratios:

From balanced chemical equation it can be concluded that 3 moles of H₂ are involved in producing 2 moles of NH₃ hence, the mole ratio of consumption of H₂ to production of NH₃ is 3:2.

Answer:

4) 3:2

Explanation:

Castle learning

Dont mind the tiny tab

Answer:

The equation for this reaction is:

2Al(OH)3 (aq) + 3H2SO4 (l) ---> Al2(SO4)3 (s) + 6H2O (l)

Explanation:

Answer:

Lead (Pb)

Explanation:

To find the atomic mass of the element, we need to take into consideration all the naturally occurring isotopes. We then find the atomic mass by multiplying the natural abundance of the isotopes by their mass for all of the isotopes and summing them together.

1. 1.390/100 * 203.97304 = 2.835225256

2. 24.11/100 * 205.97447 = 49.660444717

3. 22.09/100 * 206.97590 = 45.72097631

4. 52.41/100 * 207.97665 = 109.000562265

We then add all of these masses together:

109.000562265 + 45.72097631+ 49.660444717 + 2.835225256 = 207.217208548

To 4 sf = 207.2 amu

Element is Lead (Pb)

Answer:

10

Explanation:

Binary search's runtime is proportional to log (base two) of the number of list elements.

Answer:

Which sequence of events is required to form a limestone cave where you can walk around and observe cave formations, such as stalactites? (Note: stalactites hang from the ceiling - they have to hold on tight to the roof.)

A geological sequence of events as involving the lowering of the water table to expose cave structures where stalactites and stalagmites form which is described as follows,

Explanation:

1. Acidic percolated water formed cavities of solution beneath the natural water table known as phreatic zone

2. After the passage of time there is a drop in the water table dropped forming caves from cavities

3. These caves, which are air filled voids that contains adequate environment for forming stalactites and stalagmites and where they are found

Answer : The mass of nitrogen gas collected is, 290.9 grams

Explanation :

To calculate the mass of nitrogen gas we are using ideal gas equation:

[tex]PV=nRT\\\\PV=\frac{w}{M}RT[/tex]

where,

P = pressure of nitrogen gas = 1 atm

V = volume of nitrogen gas = 250 L

T = temperature of nitrogen gas = [tex]20^oC=273+20=293K[/tex]

R = gas constant = 0.0821 L.atm/mole.K

w = mass of nitrogen gas = ?

M = molar mass of nitrogen gas = 28 g/mole

Now put all the given values in the ideal gas equation, we get:

[tex](1atm)\times (250L)=\frac{w}{28g/mole}\times (0.0821L.atm/mole.K)\times (293K)[/tex]

[tex]w=290.9g[/tex]

Therefore, the mass of nitrogen gas collected is, 290.9 grams.

The atomic mass of element X is approximately 107.8682 amu with an accuracy of .001%.

To calculate the atomic mass of element X, we need to use the given information about the isotopes of element X.

We are given that element X consists of two naturally occurring isotopes: 107X with an abundance of 53.84% and an isotopic mass of 106.9051 amu, and 109X with an isotopic mass of 108.9048 amu.

To calculate the atomic mass of element X, we can use the formula:

Atomic mass = (abundance of isotope 1 x mass of isotope 1) + (abundance of isotope 2 x mass of isotope 2)

Plugging in the values for element X, we get:

Atomic mass = (0.5384 x 106.9051 amu) + (0.4616 x 108.9048 amu)

Atomic mass ≈ 107.8682 amu

Therefore, the atomic mass of element X is approximately 107.8682 amu to an accuracy of .001%.

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To calculate the atomic mass of element X, multiply the mass of each isotope by its abundance and sum them up. The atomic mass of element X is 106.22288 amu.

To calculate the atomic mass of element X, we need to consider the abundance and isotopic mass of its two naturally occurring isotopes. The atomic mass is calculated by multiplying the mass of each isotope by its abundance and summing them up.

For isotope 107X with an abundance of 53.84%, we multiply its mass (106.9051 amu) by its abundance (0.5384). For isotope 109X with an abundance of (100% - 53.84% = 46.16%), we multiply its mass (108.9048 amu) by its abundance (0.4616).

Finally, we add these two values together to get the atomic mass of element X to an accuracy of .001%. The calculation is as follows:

(106.9051 amu * 0.5384) + (108.9048 amu * 0.4616) = 106.22288 amu

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Answer:

If you add more solute in a saturated solution, it will have no effect. Additional solute does not dissolve in a saturated solution.

Explanation:

If more solute is added and it does not dissolve, then the original solution was saturated. If the added solute dissolves, then the original solution was unsaturated. A solution that has been allowed to reach equilibrium but which has extra undissolved solute at the bottom of the container must be saturated.

Answer:

33.3 kg of air

Explanation:

This is a problem of conversion unit.

Density is mass / volume

Therefore we have to calculate the volume in the room, to be multiply by density. That answer will be the mass of air.

Volume of the room → 9 ft . 11 ft . 10 ft = 990 ft³

Density is in g/L, therefore we have to convert the ft³ to dm³ (1 dm³ = 1L)

990 ft³ . 28.3 dm³ / 1ft³ = 28017 dm³ → 28017 L

This is the volume of the room, if we replace it in the density formula we can know the mass of air in g.

1.19 g/L = Mass of air / 28017 L

Mass of air = 28017 L .  1.19 g/L → 33340 g of air

Finally, let's convert the mass in g to kg → 33340 g . 1kg / 1000 g = 33.3 kg

Answer:

The answer to your question is Gallium-71 = 70.9202 amu

Explanation:

Gallium atomic weight = 69.7

Gallium-69 = 68.9 amu    abundance = 60.4%

Gallium-71 =     x                abundance = 39.6%  

To solve this problem just write an equation and solve it for the mass of gallium-71.

Equation

Gallium = Gallium-69(abundance) + Gallium-71(abundance)

Substitution

69.7 = (68.9)(0.604) + Gallium-71(0.396)

69.7 = 41.6156 + Gallium-71(0.396)

Gallium-71(0.396) = 69.7 - 41.6156

Gallium-71(0.396) = 28.0844

Gallium-71 = 28.0844/0.396

Gallium-71 = 70.9202 amu

Answer: C₃H₈

Explanation:

From PV = nRT

Moles of CO2 = PV / RT =(1 x 1.037)/(0.08206 x ( 273+98.3)) = 0.0340 moles of CO2

CxHy + (x + (y/2))O₂ ----> xCO₂ + yH₂O

there is 1 mole of C in each mole of CO2 so moles of C in CO₂ = 0.0340 moles

mass of C in CO₂ = 0.0340 x 12 = 0.41 g

This means mass of C in the hydrocarbon = 0.41g

so mass of H in the hydrocarbon = 0.50 - 0.41= 0.09 g

moles of H in the hydrocarbon = mass/molar mass = 0.09/1 = 0.09 moles

molar ratio of C:H = 0.034 : 0.09 = 1 :2.67

or 3 :8

empirical formula is C3H8

To find the empirical formula of the hydrocarbon, calculate the moles of carbon dioxide produced using the ideal gas law and the moles of carbon and hydrogen in the hydrocarbon. The empirical formula is C12H1.

In order to determine the empirical formula of the hydrocarbon, we need to find the mole ratio of carbon to hydrogen in the compound. To do this, we first calculate the moles of carbon dioxide (CO2) produced using the ideal gas law:

n = (PV)/(RT) = (1.000 atm)(1.037 L)/(0.08206 L.atm/mol.K)(98.3 + 273.15 K) = 0.0443 mol

Since the combustion of 1 mole of hydrocarbon produces 1 mole of CO2, we can conclude that the moles of hydrocarbon consumed is also 0.0443 mol. Next, we calculate the moles of carbon and hydrogen in the hydrocarbon:

moles of carbon = (mass of carbon in hydrocarbon) / (molar mass of carbon) = (12.01 g/mol)(0.5000 g) / (1 g) = 6.003 mol

moles of hydrogen = (mass of hydrogen in hydrocarbon) / (molar mass of hydrogen) = (1.008 g/mol)(0.5000 g) / (1 g) = 0.5008 mol

The empirical formula of the hydrocarbon is then C6H0.5008. We can simplify this ratio by multiplying all the subscripts by 2 (the smallest whole number ratio) to get the empirical formula: C12H1.

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Explanation:

(a)   The given data is as follows.

           M = 1100 kg,        r = 5.01 mm = [tex]5.01 \times 10^{-3}[/tex] m

          m = 2.40 kg

Now, formula for Newton's law of gravitation is as follows.

                 F = [tex]\frac{GMm}{r^{2}}[/tex]

Putting the given values into the above formula as follows.

               F = [tex]\frac{GMm}{r^{2}}[/tex]

                  = [tex]\frac{6.673 \times 10^{-11} Nm^{2}/kg^{2} \times 1100 \times 2.40 kg}{(5.01 \times 10^{-3})^{2}}[/tex]  

                  = [tex]7.02 \times 10^{-3}[/tex] N

Therefore, gravitational force exerted by the given sphere on 2.40 kg point mass is [tex]7.02 \times 10^{-3}[/tex] N.

(b) Now, mass of the sphere beyond r = 2.50 mm or [tex]2.50 \times 10^{-3} m[/tex] will not contribute any force on the point mass.

Hence, mass within the radius r < R that experiences force is,

                 [tex]m^{1} = M \frac{r^{3}}{R^{3}}[/tex]

According to Newton's law of gravitation,

           F = [tex]\frac{Gm^{1}m}{r^{2}}[/tex]

             = [tex]\frac{Gm(M \frac{r^{3}}{R^{3}})}{r^{2}}[/tex]

             = [tex]G \frac{mMr}{R^{3}}[/tex]

Here, r is the radius of point mass and R is the radius of solid sphere.

Therefore, putting the given values into the above formula as follows.

           F = [tex]G \frac{mMr}{R^{3}}[/tex]

              = [tex]\frac{6.673 \times 10^{-11} Nm^{2}/kg^{2} \times 1100 kg \times 2.40 kg \times 2.50 \times 10^{-3}}{(5)^{3}}[/tex]

              = [tex]3.52 \times 10^{-9}[/tex] N

Therefore, the gravitational force this sphere exerts on a 2.40 kg is [tex]3.52 \times 10^{-9}[/tex] N.

Answer:

The net charge of 1.3 g nugget of pure gold after 1.68% of its electrons are removed is 559 C

Explanation:

When an atom gains electrons it becomes negatively charged. Conversely, when it looses electrons the atoms becomes positively charged thus

To solve this question, we rely on the relationship between the nmber of particles present in a given mass of an atom, Avogadro's number and number of moles, n

The given variables are

mass of pure gold nugget = 1.30 g

Quantity of electrons removed = 1.68% of electrons present in the gold sample

Molar mass of gold = 197 g/mol

Avogadro's number = 6.02 × 10²³ atoms/mole  

qc = one electron charge = -1.06 × 10⁻¹⁹ C/electron

Electrical charge of gold nugget = 0 C

Number of electrons in one gold atom = 79 electrons

Solving for the number of prticles or gold atoms in 1.3 grams of gold we get

n mass/(molar mass) = 1.3/197 moles of gold =  0.0066 moles

number of particles in 0.0066 moles of gold N = n×[tex]N_{A}[/tex] = 0.0066 × 6.02 × 10²³  = 3.97 × 10²¹ atoms

since 79 electrons are present per particle we have

3.97 × 10²¹ × 79 = 3.14 × 10²³ electrons

quantity of elecrtrons removed = 1.68% of  3.14 × 10²³ electrons =1.68/100 × 3.14 × 10²³ electrons = 0.0168 × 3.14 × 10²³ electrons = 5.3 × 10²¹ electrons

The net charge of 5.3 × 10²¹ electrons = 5.3 × 10²¹ electrons × -1.06 × 10⁻¹⁹ C/electron =

5.59 × 10² C = 559 C

Final answer:

After 1.68% of its electrons are removed, a 1.30 g nugget of pure gold will have a net positive charge of approximately +842 C, calculated based on the initial number of electrons and the charge per electron.

Explanation:

To calculate the net charge of a 1.30 g nugget of pure gold after 1.68% of its electrons are removed, we first need to understand the composition and characteristics of gold. The atomic mass of gold (Au) is approximately 197 g/mol, and each atom has 79 protons and, when neutral, 79 electrons. The number of gold atoms in the nugget can be calculated using its mass and the atomic mass of gold.

First, calculate the number of moles of gold in the nugget:
Moles of gold =
(1.30 g) / (197 g/mol) = 0.0066 mol. The number of gold atoms = 0.0066 mol ×
(6.022 × 1023 atoms/mol) ≈ 3.97 × 1021 atoms. Since each gold atom has 79 electrons when neutral, the total number of electrons initially is approximately 3.13 × 1023 electrons.

To find out how many electrons 1.68% represents:
1.68% of the total electrons = 1.68 / 100 × 3.13 × 1023 ≈ 5.26 × 1021 electrons.

The charge of one electron is approximately -1.6 × 10-19 C. Therefore, removing 5.26 × 1021 electrons means the nugget would have a net positive charge equal to:
5.26 × 1021 × 1.6 × 10-19 C ≈ 8.42 × 102 C. Thus, the net charge of the gold nugget after removing 1.68% of its electrons would be approximately +842 C.