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Solved: Three moles of an ideal gas are taken around cycle
Chapter 19, Problem 46P(choose chapter or problem)
Three moles of an ideal gas are taken around the cycle \(a c b\) shown in Fig. P19.46. For this gas, \(C_{P}=29.1 \mathrm{~J} / \mathrm{mol} \cdot \mathrm{K}\). Process \(a c\) is at constant pressure, process \(b a\) is at constant volume, and process is adiabatic. The temperatures of the gas in states
,
, and
are \(T_{a}=300\) K, \(T_{c}=492\) K and \(T_{b}=600\) K. Calculate the total work
for the cycle.
Equation Transcription:
Text Transcription:
acb
C_p=29.1 J/mol.K
ac
ba
cb
T_a=300
T_c=492
T_b=600
Questions & Answers
QUESTION:
Three moles of an ideal gas are taken around the cycle \(a c b\) shown in Fig. P19.46. For this gas, \(C_{P}=29.1 \mathrm{~J} / \mathrm{mol} \cdot \mathrm{K}\). Process \(a c\) is at constant pressure, process \(b a\) is at constant volume, and process is adiabatic. The temperatures of the gas in states
,
, and
are \(T_{a}=300\) K, \(T_{c}=492\) K and \(T_{b}=600\) K. Calculate the total work
for the cycle.
Equation Transcription:
Text Transcription:
acb
C_p=29.1 J/mol.K
ac
ba
cb
T_a=300
T_c=492
T_b=600
ANSWER:
Step 1 of 3
Data given
\(C_{p}=29.1 J / \operatorname{mol} K\)
\(T_{a}=300 K \)
\(T_{b}=492 K\)
\(T_{c}=600 K\)
\(\mathrm{n}=3\)
From the graph we can notice that work done is in three forms
Isobaric from a to c \(W_{a c}=n R \Delta T\)
Adiabatic from c to b \(W_{c b}=-n C_{v} \Delta T\)
Isochoric from b to a \(W_{b a}=0\)