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An ideal gas of N diatomic molecules (y = 1 + 2/5 = 7/5) undergoes three consecutive transformations, as diagrammed below. a) In terms of po, Vo, and N, find the temperatures T1, T2, T3 at all three "corners" of the cycle. b) In terms of Vo and y, find the volume V3 at point 3 of the cycle. • The transformation 1-2 is isobaric. • The transformation 2-3 is adiabatic. • The transformation 3-1 is isothermal. c) In terms of po and y, find the pressure pa at point 3 of the cycle. d) For each of the transformations 1-2, 2-3, 3-1, find the changes in internal energy AE1.2, AE2.3, AE3.1. • First hint: One of these is zero. Why? • Second hint: changes AE1.2, AE2.3, AEs.1 add up to? Po What should the three 3 e) For each transformation, find the work done by the gas on its environment. Express your answer in terms of po and Vo. V Vo 5V. • Hint: You should be able to write down

An ideal gas of N diatomic molecules (y = 1 + 2/5 = 7/5) undergoes three consecutive transformations, as diagrammed below. a) In terms of po, Vo, and N, find the temperatures T1, T2, T3 at all three "corners" of the cycle. b) In terms of Vo and y, find the volume V3 at point 3 of the cycle. • The transformation 1-2 is isobaric. • The transformation 2-3 is adiabatic. • The transformation 3-1 is isothermal. c) In terms of po and y, find the pressure pa at point 3 of the cycle. d) For each of the transformations 1-2, 2-3, 3-1, find the changes in internal energy AE1.2, AE2.3, AE3.1. • First hint: One of these is zero. Why? • Second hint: changes AE1.2, AE2.3, AEs.1 add up to? Po What should the three 3 e) For each transformation, find the work done by the gas on its environment. Express your answer in terms of po and Vo. V Vo 5V. • Hint: You should be able to write down

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An ideal gas of N diatomic molecules (y = 1 + 2/5 = 7/5) undergoes three consecutive transformations, as diagrammed below. a) In terms of po, Vo, and N, find the temperatures T1, T2, T3 at all three "corners" of the cycle. b) In terms of Vo and y, find the volume V3 at point 3 of the cycle. • The transformation 1→2 is isobaric. • The transformation 2--3 is adiabatic. • The transformation 3→1 is isothermal. c) In terms of po and y, find the pressure pa at point 3 of the cycle. d) For each of the transformations 1→2, 2-3, 3-1, find the changes in internal energy ΔΕ2 , ΔΕ_3, ΔΕ31. 2 • First hint: One of these is zero. Why? • Second hint: changes AE12, AE2.3, AE3.1 add up to? Po What should the three 3 e) For each transformation, find the work done by the gas on its environment. Express your answer in terms of po and Vo. V V. 5V. • Hint: You should be able to write down W2.3 without doing any new calculations. ) For each transformation, find the amount of heat flow into or out of the gas. *
Transcribed Image Text:An ideal gas of N diatomic molecules (y = 1 + 2/5 = 7/5) undergoes three consecutive transformations, as diagrammed below. a) In terms of po, Vo, and N, find the temperatures T1, T2, T3 at all three "corners" of the cycle. b) In terms of Vo and y, find the volume V3 at point 3 of the cycle. • The transformation 1→2 is isobaric. • The transformation 2--3 is adiabatic. • The transformation 3→1 is isothermal. c) In terms of po and y, find the pressure pa at point 3 of the cycle. d) For each of the transformations 1→2, 2-3, 3-1, find the changes in internal energy ΔΕ2 , ΔΕ_3, ΔΕ31. 2 • First hint: One of these is zero. Why? • Second hint: changes AE12, AE2.3, AE3.1 add up to? Po What should the three 3 e) For each transformation, find the work done by the gas on its environment. Express your answer in terms of po and Vo. V V. 5V. • Hint: You should be able to write down W2.3 without doing any new calculations. ) For each transformation, find the amount of heat flow into or out of the gas. *
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