First slide

Different type of processes

Question

310 J of heat is required to raise the temperature of 2 moles of an ideal gas at constant pressure from 25°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is

Easy

A

384 J
B

144 J
C

276 J
D

452 J

Solution

$\begin{array}{l} Q_{1} = {nC}_{p} dT = 310 J \\ = 2 \times C_{p} \times 10 = 310 \\ C_{p} = 15 .5 \\ C_{v} = 15 .5 - 8 .3 = 7 .2 \\ Q_{2} = 2 \times 7 .2 \times 10 = 144 J \end{array}$

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