5. The rms speed, Vrms of 1.0 mol of N2 molecules in a box is 1200 ms. The molecular mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is 20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to the surrounding. The universal gas constant, R is 8.314 J/(K.mol). (a) What is the temperature inside the box? (b) What is the average translational kinetic energy of the molecules? Determine the amount of He gas that undergo the same change in temperature as 1.0 mol of N2 when the same amount of heat is added to each gas in constant volume (c) process. The C, for He is 12.47 J/mol.K.

5. The rms speed, Vrms of 1.0 mol of N2 molecules in a box is 1200 ms. The molecular mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is 20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to the surrounding. The universal gas constant, R is 8.314 J/(K.mol). (a) What is the temperature inside the box? (b) What is the average translational kinetic energy of the molecules? Determine the amount of He gas that undergo the same change in temperature as 1.0 mol of N2 when the same amount of heat is added to each gas in constant volume (c) process. The C, for He is 12.47 J/mol.K.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Kinetic Theory of Gas

The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.

P-V Diagram

A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.

Question

5. The rms speed, vrms of 1.0 mol of N2 molecules in a box is 1200 ms. The molecular
mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is
20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to
the surrounding. The universal gas constant, R is 8.314 J/(K.mol).
(а)
What is the temperature inside the box?
(b)
What is the average translational kinetic energy of the molecules?
Determine the amount of He gas that undergo the same change in temperature as
1.0 mol of N2 when the same amount of heat is added to each gas in constant
volume process. The Cy for He is 12.47 J/mol.K.
(c)
(d)
If the process in (c) is carried-out at constant pressure, it will require more He gas
than in (c). Is this statement correct? Briefly explain your answer.

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