First slide

Thermodynamic processes

Question

A diatomic gas (g = 1.4) does 200 J of work when expanded isobarically. Find the heat given to the gas in the process.

Moderate

A

700 J
B

600 J
C

800 J
D

500 J

Solution

For a diatomic gas, $C_{V} = \frac{5}{2} R, C_{p} = \frac{7}{2} R$
In an isobaric process, $W = p (V_{2} - V_{1}) = n R (T_{2} - T_{1}) \Rightarrow T_{2} - T_{1} = \frac{W}{n R}$ .
$Q = n C_{p} Δ T = n C_{p} \frac{W}{n R} = \frac{C_{p} W}{R} = \frac{7}{2} R \frac{W}{R} = \frac{7}{2} \times 200 = 700 J$ .

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