JEE PYQ: Thermodynamics Question 8
Question 8 - 2021 (25 Feb Shift 1)
A diatomic gas, having $C_p = \frac{7}{2}R$ and $C_v = \frac{5}{2}R$, is heated at constant pressure. The ratio $dU : dQ : dW$ is :
(1) 03:07:02
(2) 05:07:02
(3) 05:07:03
(4) 03:05:02
Show Answer
Answer: (2)
Solution
$C_p = \frac{7}{2}R$, $C_v = \frac{5}{2}R$
$dU = nC_v dT$, $dQ = nC_p dT$, $dW = nRdT$
$dU : dQ : dW = C_v : C_p : R = \frac{5}{2}R : \frac{7}{2}R : R = 5 : 7 : 2$
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