First slide

Different type of processes

Question

Three moles of hydrogen at $30^{o} C$ is allowed to expand at constant pressure to twice its original volume. Then amount of heat supplied to the gas is R = 8.3 J/K-mol

Easy

A

12.48 KJ
B

26.4 KJ
C

18.62 KJ
D

9.27 KJ

Solution

At constant pressure, $\frac{V_{2}}{T_{2}} = \frac{V_{1}}{T_{1}} \Rightarrow T_{2} = T_{1} (\frac{V_{2}}{V_{1}})$
$∴ T_{2} = (273 + 30) \times \frac{2 V_{1}}{V_{1}} = 606 K$
$∴ Q = n C_{P} Δ T = 3 \times \frac{7 \times 8.3}{2} \times (606 - 303) J = 26.4 K J$

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