Explanation 1) Concept: We can find the change in internal energy ( ∆ E i n t ) . Then, we can find the equation of the work done. Since the process is adiabatic, we can define heat transfer . Using the formula of change in kinetic energy, we can find the average kinetic energy per atom. 2) Formula: i) Change in internal energy, ∆ E i n t = n C v ∆ T ii) Work done, W = Q - ∆ E i n t iii) For the ideal monoatomic gas C v = 3 2 R iv) Change in average kinetic energy per atom ∆ K = ∆ E i n t N 3) Given: i) No. of moles n = 2.0 m o l ii) Temperature, T = 15.0 K 4) Calculations: a) From the formula of change in internal energy ∆ E i n t = n C v ∆ T C v Is molar specific heat. And work done is given by W = Q - ∆ E i n t Q is heat transferred And we know that for an adiabatic process, heat transfer is zero. Hence, Q = 0 W = - ∆ E i n t Also, we can write that, W = - ∆ E i n t = - n C v ∆ T The gas in the problem is an ideal monoatomic gas, so for a monoatomic ideal gas, the molar specific heat is C

11th Edition

ISBN: 9781119455608

Author: 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…

Question

Chapter 19, Problem 71P

To determine

To find:

a) Work done by the gas

b) Energy transferred as heat Q

c) Change ∆Eint in internal energy of the gas

d) Change in ∆K in average kinetic energy per atom.

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Chapter 19, Problem 70P

Chapter 19, Problem 72P

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Chapter 19 Solutions

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a) Work done by the gas b) Energy transferred as heat Q c) Change ∆ E i n t in internal energy of the gas d) Change in ∆ K in average kinetic energy per atom.

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To find: a) Work done by the gas b) Energy transferred as heat Q c) Change ∆Eint in internal energy of the gas d) Change in ∆K in average kinetic energy per atom.

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Chapter 19 Solutions

To find:

a) Work done by the gas

b) Energy transferred as heat Q

c) Change ∆Eint in internal energy of the gas

d) Change in ∆K in average kinetic energy per atom.