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?At standard temperature and pressure, the molar volumes of \(\mathrm{Cl}_{2} \text { and } \mathrm{NH}_{3}\) gases are 22.06 and 22.40 L, respectively

Chemistry: The Central Science | 14th Edition | ISBN: 9780134414232 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus ISBN: 9780134414232 1274

Solution for problem 11.13 Chapter 11

Chemistry: The Central Science | 14th Edition

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Chemistry: The Central Science | 14th Edition | ISBN: 9780134414232 | Authors: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus

Chemistry: The Central Science | 14th Edition

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Problem 11.13

At standard temperature and pressure, the molar volumes of \(\mathrm{Cl}_{2} \text { and } \mathrm{NH}_{3}\) gases are 22.06 and 22.40 L, respectively.

(a) Given the different molecular weights, dipole moments, and molecular shapes, why are their molar volumes nearly the same?

(b) On cooling to 160 K, both substances form crystalline solids. Do you expect the molar volumes to decrease or increase on cooling the gases to 160 K?

(c) The densities of crystalline \(\mathrm{Cl}_{2} \text { and } \mathrm{NH}_{3}\) at 160 K are 2.02 and \(0.84 \mathrm{~g} / \mathrm{cm}^{3}\) , respectively. Calculate their molar volumes.

(d) Are the molar volumes in the solid state as similar as they are in the gaseous state? Explain.

(e) Would you expect the molar volumes in the liquid state to be closer to those in the solid or gaseous state?

Text Transcription:

Cl_2 and NH_3

0.84 g / cm^3

Step-by-Step Solution:

Step 1 of 5) Shows the osmosis that occurs between an aqueous solution and pure water, separated by a semipermeable membrane. The U-tube contains water on the left and an aqueous solution on the right. Initially, there is a net movement of water through the membrane from left to right, leading to unequal liquid levels in the two arms of the U-tube. Eventually, at equilibrium (middle panel of Figure 13.22), the pressure difference resulting from the unequal liquid heights becomes so large that the net flow of water ceases. This pressure, which stops osmosis, is the osmotic pressure, Π, of the solution. If an external pressure equal to the osmotic pressure is applied to the solution, the liquid levels in the two arms can be equalized, as shown in the right panel of Figure 13.22. The osmotic pressure obeys a law similar in form to the ideal-gas law, ΠV = inRT where Π is the osmotic pressure, V is the volume of the solution, i is the van’t Hoff factor, n is the number of moles of solute, R is the ideal-gas constant, and T is the absolute temperature. From this equation, we can write.

Step 2 of 2

Chapter 11, Problem 11.13 is Solved
Textbook: Chemistry: The Central Science
Edition: 14
Author: Theodore E. Brown; H. Eugene LeMay; Bruce E. Bursten; Catherine Murphy; Patrick Woodward; Matthew E. Stoltzfus
ISBN: 9780134414232

The full step-by-step solution to problem: 11.13 from chapter: 11 was answered by , our top Chemistry solution expert on 10/03/18, 06:29PM. Since the solution to 11.13 from 11 chapter was answered, more than 218 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 29 chapters, and 2820 solutions. This textbook survival guide was created for the textbook: Chemistry: The Central Science, edition: 14. The answer to “?At standard temperature and pressure, the molar volumes of \(\mathrm{Cl}_{2} \text { and } \mathrm{NH}_{3}\) gases are 22.06 and 22.40 L, respectively. (a) Given the different molecular weights, dipole moments, and molecular shapes, why are their molar volumes nearly the same? (b) On cooling to 160 K, both substances form crystalline solids. Do you expect the molar volumes to decrease or increase on cooling the gases to 160 K? (c) The densities of crystalline \(\mathrm{Cl}_{2} \text { and } \mathrm{NH}_{3}\) at 160 K are 2.02 and \(0.84 \mathrm{~g} / \mathrm{cm}^{3}\) , respectively. Calculate their molar volumes. (d) Are the molar volumes in the solid state as similar as they are in the gaseous state? Explain. (e) Would you expect the molar volumes in the liquid state to be closer to those in the solid or gaseous state?Text Transcription:Cl_2 and NH_30.84 g / cm^3” is broken down into a number of easy to follow steps, and 143 words. Chemistry: The Central Science was written by and is associated to the ISBN: 9780134414232.

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?At standard temperature and pressure, the molar volumes of \(\mathrm{Cl}_{2} \text { and } \mathrm{NH}_{3}\) gases are 22.06 and 22.40 L, respectively