An ideal gas of mass m and temperature T 1 undergoes a reversible isothermal process from an initial pressure P 1 to a final pressure P 2 . The heat loss during the process is Q. The entropy change ΔS of the gas is

Correct Answer is : mRln⁡(P1P2)

mR\ln ⁡ ( {P_{2}}/{P_{1}}) −\frac{Q}{T_{1}}

GATE Mechanical Engineering (ME) 2012 Solved Paper

Question : 16 of 65

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An ideal gas of mass m and temperature T₁ undergoes a reversible isothermal process from an initial pressure P₁ to a final pressure P₂. The heat loss during the process is Q. The entropy change ΔS of the gas is

$mR\ln ⁡ (\;{P_{2}}/{P_{1}})$
$mR\ln ⁡ (\;{P_{1}}/{P_{2}})$
$mR\ln ⁡ (\;{P_{2}}/{P_{1}}) −\;{Q}/{T_{1}}$
Zero

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