First slide

Thermodynamic processes

Question

The ratio of work done by an ideal diatomic gas to the heat supplied by the gas in an isobaric process is

Moderate

A

$\frac{5}{7}$
B

$\frac{3}{5}$
C

$\frac{2}{7}$
D

$\frac{5}{3}$

Solution

$\begin{array}{l} Δ U = n C_{V} Δ T = n (\frac{5}{2}) R Δ T \\ Δ Q = n C_{V} Δ T = n (\frac{7}{2}) R Δ T \\ W = Δ Q - Δ U = n \frac{7}{2} R Δ T = n \frac{5}{2} R Δ T = n R Δ T \\ \frac{W}{Δ U} = \frac{2}{7} \end{array}$

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