First slide

Different type of processes

Question

When heat is supplied to a diatomic gas at constant pressure, then the ratio of $Δ Q : Δ U : Δ W$ will be

Moderate

A

5:2:6
B

7:2:5
C

5:3:2
D

7:5:2

Solution

We know that, $Δ Q = n C_{p} Δ T = \frac{7}{2} n R Δ T (∵ C_{p} = \frac{7}{2} R)$
and $Δ U = n C_{V} Δ T = \frac{5}{2} μ R Δ T (∵ C_{V} = \frac{5}{2} R)$
Also, $Δ W = Δ Q - Δ U = n R Δ T$
$∴ Δ Q : Δ U : Δ W = 7 : 5 : 2$

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