Explanation 1) Concept: We need to use the equation for change in entropy related to the final temperature and initial temperature. For the change in speed, we can use the equations from rms speed and most probable speed. 2) Formulae: i) V r m s = 3 R T M ii) V p = 2 R T M iii) ∆ S = n R ln ⁡ V f V i + n C v ln ⁡ T f T i 3) Given: i) The number of moles of an ideal gas, n = 1.5 m o l ii) The initial temperature, T i = 250 K iii) The final temperature, T f = 500 K iv) The molar mass of Nitrogen gas, M = 0.028 k g / m o l 4) Calculations: The difference between speeds ∆ v ∆ v = V r m s - V p = 3 R T M - 2 R T M (a) For the initial difference, we have to use the value of initial temperature. Hence, ∆ v i = 3 R T i M - 2 R T i M ∆ v i = 3 × 8.314 × 250 0.028 - 2 × 8.314 × 250 0.028 ∆ v i = 86.6 m / s (b) For the final difference, we have to use the value of final temperature

11th Edition

ISBN: 9781119573968

Author: David Halliday

Publisher: WILEY

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First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of en…

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Chapter 20, Problem 51P

To determine

To find:

a. The initial difference ∆Vi

b. The final difference ∆Vf

c. The change in entropy ∆S

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Chapter 20, Problem 50P

Chapter 20, Problem 52P

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Chapter 20 Solutions

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a. The initial difference ∆ V i b. The final difference ∆ V f c. The change in entropy ∆ S

Solution Summary: The author explains the equation for change in entropy related to the final temperature and initial temperature, and calculates the difference between speeds.

Concept explainers

To find:

a. The initial difference ∆Vi

b. The final difference ∆Vf

c. The change in entropy ∆S

Want to see the full answer?

Chapter 20 Solutions

a. The initial difference ∆ V i b. The final difference ∆ V f c. The change in entropy ∆ S

Solution Summary: The author explains the equation for change in entropy related to the final temperature and initial temperature, and calculates the difference between speeds.

Concept explainers

To find: a. The initial difference ∆Vi b. The final difference ∆Vf c. The change in entropy ∆S

Want to see the full answer?

Chapter 20 Solutions

To find:

a. The initial difference ∆Vi

b. The final difference ∆Vf

c. The change in entropy ∆S