Explanation Given data: Number of moles is 1. Formula used: Consider the expression for work done. W = P Δ V (1) Here, Δ V is the volume and P is the pressure. Consider the expression for internal energy of the system. Δ U = Q − W (2) Here, Q is the heat, and W is the work. Consider the expression for a monatomic gas internal energy. Δ U = 3 2 n R ( T f − T i ) (3) Here, n is the number of moles, R is the Regnault constant, which has the standard value as 8.31 J mol ⋅ K , T f is the final temperature, and T i is the initial temperature. Consider the expression for ideal gas. P V = n R T (4) Here, n is the number of moles, R is the Regnault constant, which has standard value as 8.31 J mol ⋅ K , T is the temperature, P is the pressure, and V is the volume. Calculation: For step A to B : Substitute 1 for n , 8.31 J mol ⋅ K for R , 800 K for T f and 400 K for T i in equation (3), Δ U = 3 2 ( 1 ) ( 8.31 J mol ⋅ K ) ( 800 K − 400 K ) = 3 2 ( 1 ) ( 8.31 J mol ⋅ K ) ( 400 K ) = 4 , 986 J Substitute equation (4) in equation (1), W = n R Δ T W = n R ( T f − T i ) (5) Substitute 1 for n , 8.31 J mol ⋅ K for R , 800 K for T f and 400 K for T i in equation (5), W = ( 1 ) ( 8.31 J mol ⋅ K ) ( 800 K − 400 K ) = ( 1 ) ( 8.31 J mol ⋅ K ) ( 400 K ) = 3 , 324 J Substitute 3324 J for W and 4986 J for Δ U in equation (2), 4 , 986 J = Q − 3 , 324 J Q = 4 , 986 J + 3 , 324 J Q = 8 , 310 J For step B to C : Substitute 1 for n , 8.31 J mol ⋅ K for R , 400 K for T f and 800 K for T i in equation (3), Δ U = 3 2 ( 1 ) ( 8.31 J mol ⋅ K ) ( 400 K − 800 K ) = 3 2 ( 1 ) ( 8.31 J mol ⋅ K ) ( − 400 K ) = − 4986 J In this case, the initial and final volume is same that is, V f = V i Modify equation (1) as follows. W = P ( V f − V i ) Substitute V f for V i . W = P ( V f − V f ) = 0 J Substitute 0 J for W and − 4986 J for Δ U in equation (2), − 4 , 986 J = Q − 0 J Q = − 4 , 986 J For step C to D : Substitute 1 for n , 8

11th Edition

ISBN: 9781119326342

Author: CUTNELL

Publisher: WILEY

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Chapter 15, Problem 29P

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Chapter 15, Problem 28P

Chapter 15, Problem 30P

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Ch. 15.3 - 1. A gas is enclosed within a chamber that is...Ch. 15.4 - Prob. 2CYU Ch. 15.4 - Prob. 3CYU Ch. 15.4 - Prob. 4CYU Ch. 15.5 - Prob. 6CYU Ch. 15.5 - 7. A gas is compressed isothermally, and its...Ch. 15.5 - Prob. 8CYU Ch. 15.5 - Prob. 9CYU Ch. 15.6 - Prob. 10CYU Ch. 15.10 - Prob. 12CYU

Ch. 15.11 - Prob. 16CYU Ch. 15.11 - Prob. 17CYU Ch. 15.11 - Prob. 18CYU Ch. 15.11 - Prob. 19CYU Ch. 15.11 - Prob. 20CYU Ch. 15.12 - Prob. 21CYU Ch. 15.12 - Prob. 22CYU Ch. 15.12 - Prob. 23CYU Ch. 15.12 - Prob. 24CYU Ch. 15.12 - Prob. 25CYU Ch. 15 - Prob. 1FC Ch. 15 - Prob. 4FC Ch. 15 - Prob. 6FC Ch. 15 - Prob. 8FC Ch. 15 - Prob. 10FC Ch. 15 - Prob. 13FC Ch. 15 - Prob. 15FC Ch. 15 - Prob. 17FC Ch. 15 - Prob. 19FC Ch. 15 - Prob. 1P Ch. 15 - Prob. 2P Ch. 15 - Prob. 3P Ch. 15 - Prob. 4P Ch. 15 - Prob. 5P Ch. 15 - Prob. 6P Ch. 15 - Prob. 7P Ch. 15 - Prob. 8P Ch. 15 - Prob. 9P Ch. 15 - Prob. 10P Ch. 15 - Prob. 11P Ch. 15 - Prob. 12P Ch. 15 - Prob. 13P Ch. 15 - Prob. 14P Ch. 15 - Prob. 15P Ch. 15 - Prob. 16P Ch. 15 - Prob. 17P Ch. 15 - Prob. 18P Ch. 15 - Prob. 19P Ch. 15 - Prob. 20P Ch. 15 - Prob. 21P Ch. 15 - Prob. 22P Ch. 15 - Prob. 23P Ch. 15 - Prob. 24P Ch. 15 - 25. A monatomic ideal gas has an initial...Ch. 15 - Prob. 26P Ch. 15 - Prob. 27P Ch. 15 - Prob. 28P Ch. 15 - Prob. 29P Ch. 15 - Prob. 30P Ch. 15 - Prob. 31P Ch. 15 - Prob. 32P Ch. 15 - Prob. 33P Ch. 15 - Prob. 34P Ch. 15 - Prob. 35P Ch. 15 - Prob. 36P Ch. 15 - Prob. 37P Ch. 15 - Prob. 38P Ch. 15 - Prob. 39P Ch. 15 - Prob. 40P Ch. 15 - Prob. 41P Ch. 15 - Prob. 42P Ch. 15 - 44. Multiple-Concept Example 6 provides a review...Ch. 15 - Prob. 45P Ch. 15 - Prob. 46P Ch. 15 - Prob. 47P Ch. 15 - Prob. 48P Ch. 15 - Prob. 49P Ch. 15 - Prob. 50P Ch. 15 - Prob. 51P Ch. 15 - Prob. 52P Ch. 15 - Prob. 53P Ch. 15 - Prob. 55P Ch. 15 - Prob. 56P Ch. 15 - Prob. 57P Ch. 15 - Prob. 58P Ch. 15 - Prob. 59P Ch. 15 - Prob. 60P Ch. 15 - Prob. 63P Ch. 15 - Prob. 64P Ch. 15 - Prob. 65P Ch. 15 - Prob. 66P Ch. 15 - Prob. 67P Ch. 15 - Prob. 68P Ch. 15 - Prob. 69P Ch. 15 - Prob. 70P Ch. 15 - Prob. 73P Ch. 15 - 75. Consider three engines that each use 1650 J of...Ch. 15 - Prob. 76P Ch. 15 - Prob. 77P Ch. 15 - Prob. 78P Ch. 15 - Prob. 79P Ch. 15 - Prob. 80P Ch. 15 - Prob. 81P Ch. 15 - Prob. 82AP Ch. 15 - Prob. 83AP Ch. 15 - Prob. 84AP Ch. 15 - Prob. 85AP Ch. 15 - Prob. 86AP Ch. 15 - Prob. 87AP Ch. 15 - Prob. 88AP Ch. 15 - Prob. 89AP Ch. 15 - Prob. 90AP Ch. 15 - Prob. 91AP Ch. 15 - Prob. 92AP Ch. 15 - Prob. 99AP Ch. 15 - Prob. 101AP Ch. 15 - Prob. 104TP Ch. 15 - Prob. 105TP

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