Part d) and f), please. The other answers are attached for your reference. Part (d) In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V1. V3=? (in terms of V1) Part (f) Write an expression for the volume V4 in terms of V1. V4=? (in terms of V1)

Physics for Scientists and Engineers
10th Edition
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Chapter21: Heat Engines, Entropy, And The Second Law Of Thermodynamics
Section: Chapter Questions
Problem 38AP: A system consisting of n moles of an ideal gas with molar specific heat at constant pressure Cr...
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Part d) and f), please. The other answers are attached for your reference.

Part (d) In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V1.

V3=? (in terms of V1)

Part (f) Write an expression for the volume V4 in terms of V1.

V4=? (in terms of V1)

Problem 3: Consider a process that uses moles of a monatomic ideal gas operating through a
Carnot cycle. The initial temperature and pressure of the gas are T, and P₁, respectively. Consider steps 1
-2,2-3, 3-4, and 4 → 1.
P
Part (a) Select the correct answers for the isothermal and adiabatic steps.
Steps 2 → 3 and 4 → 1 are adiabatic., Steps 1-2 and 3-4 are isothermal.
✓ Correct!
Part (b) Write an expression for V, in terms of n, R, T₁, and P₁.
V3=1/2 V1x Wrong!
V3 = V1/2 x
V3 = V1 √(8) X
*
P3=nRT3/V3 ✓ Correct!
V₁-(nRT₁) P₁ ✔ Correct!
Part (c) In the isothermal compression, the gas is reduced to one-fourth its original volume. Write an expression for the pressure P₂ in terms of P, after
this step.
P₂-4 P₁✔Correct!
* Part (d) In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V₁.
V₁=(1/2)³/¹2 (V₂/3)X
V₁= V₁ (22/3) Wrong!
CL
C
g
P₁
T₁
V₁
P₁
T₁
V₁
8
Part (e) Write an expression for P3 in terms of n, R, T3 and V3.
Part (f) Write an expression for the volume V4 in terms of V₁-
m
e
m
R
T3
V3
R
T3
V₂
d
n
t
T4
V₁
d
n
t
T4
V₁
Part (g) Write an expression for P4 in terms of n, R, T4 and V4.
P-RTV₁ ✔ Correct!
(789 HOME
1^4 5 6
1 23
0
+
END
VO BACKSPACE DEL CLEAR
7 8 9
MAL 4 5 6
/* 123
HOME
-
||+|| - 0
END
NO BACKSPACE ENGL CLEAR
→
P,,V,,T,
P₂.V₂,T₂
P.V.T.
P.V,₁,T,
V
Transcribed Image Text:Problem 3: Consider a process that uses moles of a monatomic ideal gas operating through a Carnot cycle. The initial temperature and pressure of the gas are T, and P₁, respectively. Consider steps 1 -2,2-3, 3-4, and 4 → 1. P Part (a) Select the correct answers for the isothermal and adiabatic steps. Steps 2 → 3 and 4 → 1 are adiabatic., Steps 1-2 and 3-4 are isothermal. ✓ Correct! Part (b) Write an expression for V, in terms of n, R, T₁, and P₁. V3=1/2 V1x Wrong! V3 = V1/2 x V3 = V1 √(8) X * P3=nRT3/V3 ✓ Correct! V₁-(nRT₁) P₁ ✔ Correct! Part (c) In the isothermal compression, the gas is reduced to one-fourth its original volume. Write an expression for the pressure P₂ in terms of P, after this step. P₂-4 P₁✔Correct! * Part (d) In the adiabatic heating, the temperature of the gas is doubled. Write an expression for the volume V3 after this step in terms of V₁. V₁=(1/2)³/¹2 (V₂/3)X V₁= V₁ (22/3) Wrong! CL C g P₁ T₁ V₁ P₁ T₁ V₁ 8 Part (e) Write an expression for P3 in terms of n, R, T3 and V3. Part (f) Write an expression for the volume V4 in terms of V₁- m e m R T3 V3 R T3 V₂ d n t T4 V₁ d n t T4 V₁ Part (g) Write an expression for P4 in terms of n, R, T4 and V4. P-RTV₁ ✔ Correct! (789 HOME 1^4 5 6 1 23 0 + END VO BACKSPACE DEL CLEAR 7 8 9 MAL 4 5 6 /* 123 HOME - ||+|| - 0 END NO BACKSPACE ENGL CLEAR → P,,V,,T, P₂.V₂,T₂ P.V.T. P.V,₁,T, V
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