ThermodynamicsMedium
Question
Heat is supplied to a diatomic gas at constant pressure. Then the ratio of $\Delta Q:\Delta U:\Delta W$ is $\_\_\_\_$ .
Options
A.$2:3:5$
B.$5:3:2$
C.$2:5:7$
D.$7:5:2$
Solution
Sol. [Key Concept: For a diatomic gas at constant $P$: $\Delta\ Q:\Delta\ U:\Delta\ W = C_{p}:C_{v}:R = 7:5:2$.]
$$\ \Delta Q_{P} = {nC}_{p}\Delta T = \frac{7}{2}nR\Delta T $$
$$\Delta U = {nC}_{v}\Delta T = \frac{5}{2}nR\Delta T $$
$$W = nR\Delta T $$
$$\Delta Q:\Delta U:W::7:5:2 $$
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