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Question

3 moles of an ideal monoatomic gas is heated at constant pressure of one atmosphere from 0C to 70C. Then, work done by the gas is

A
1.74 kJ
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B
0.5 kJ
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C
6.98 kJ
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D
11.3 kJ
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Solution

The correct option is A 1.74 kJ
For monoatomic gas, degrees of freedom is 3
Thus, Cv=32R and Cp=52R
R=8.31 J/molK
dQ=dU+W
dQ=nCpdT=3×52×8.31×(700)
dQ=4362.75 J
dU=nCvdT=3×32×8.31×(700)
dU=2617.65 J
W=4362.752617.65=1745.1 J
W=1.74 KJ

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