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You are conducting experiments to study prototype heat engines. In one test, 4.00 mol of argon gas are taken around the cycle shown in. The pressure is low enough for the gas to be treated as ideal. You measure the gas temperature in states a, b, c, and d and find Ta = 250.0˚K, Tb = 300.0˚K, Tc = 380.0˚K, andTd = 316.7˚K.A to B -- constant volumeB to C -- constant pressureC to D -- constant volume D to A -- constant pressure  Calculate the efficiency e of the cycle. e = ______ %

Question

You are conducting experiments to study prototype heat engines. In one test, 4.00 mol of argon gas are taken around the cycle shown in. The pressure is low enough for the gas to be treated as ideal. You measure the gas temperature in states a, b, c, and d and find Ta = 250.0˚K, Tb = 300.0˚K, Tc = 380.0˚K, andTd = 316.7˚K.

A to B -- constant volume

B to C -- constant pressure

C to D -- constant volume 

D to A -- constant pressure 

 

Calculate the efficiency e of the cycle. 

e = ______ %

check_circleAnswer
Step 1

The P-V diagram for the question will be as follows:

P
A
help_outline

Image Transcriptionclose

P A

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Step 2

Given,

Now, for a given monoatomic ideal gas, we have specific heat at constant pressure (Cp) and at constant volume (Cv) and where R is the gas constant and n is the number of moles as:

R 8.3145 J/mol K
n= 4.00 mol
5
-R
2
3
C,
R
2
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R 8.3145 J/mol K n= 4.00 mol 5 -R 2 3 C, R 2

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Step 3

Plugging the above given values in Q for an isochoric process A→...

nCAT
3
QnR)AT
3
-nRAT
2
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nCAT 3 QnR)AT 3 -nRAT 2

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Thermodynamics

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