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: 9781119459132

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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The temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K in an adiabatic process.What are (a) the work W done by the gas, (b) the energy transferred as heat Q, (c) the change Eint in internal energy of the gas, and (d) the change K in the average kinetic energy per atom

Under constant pressure, the temperature of 2.00 mol of an ideal monatomic gas is raised 15.0 K. What are (a) the work W done by the gas, (b) the energy transferred as heat Q, (c) the change Eint in the internal energy of the gas, and (d) the change K in the average kinetic energy per atom?

Under constant pressure, the temperature of 1.61 mol of an ideal monatomic gas is raised 11.0K. What are (a) the work W done by the gas, (b) the energy transferred as heat Q. (c) the change AEine in the internal energy of the gas, and (d) the change AK in the average kinetic energy per atom?

Chapter 19 Solutions

FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS

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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.