One mole of an ideal gas (γ=1.4) is adiabatically compressed so that its temperature rises from 27oC to 35oC. The work done by the gas is (R= 8.47J/mol/K)
A
−162.8J
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B
−169.4J
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C
154.6J
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D
128.2J
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Solution
The correct option is B−169.4J Heat-Work relation is dQ=dU+dW For an adiabatic process dq=0; dW=−dU=−nCvΔT=−(1)(5R2)(35−27)=−2.5(8.47)(8)=−169.4J