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An ideal gas has molar heat capacity at constant pressure $C_{p} = 2.5 R$ . The gas is kept in closed vessel of volume $0.0083 m^{3}$ at $300 k$ and pressure $1.6 \times 10^{6} N / m^{2}$ . An amount $2.49 \times 10^{4} J$ of heat energy supplied to gas. Find final temperature of gas

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Detailed Solution

$\begin{array}{l} C_{V} = 1.5 R \\ n = \frac{P V}{R T} = 5.3 m o l \\ Δ Q = n C_{V} Δ T \Rightarrow Δ T = \frac{Δ Q}{n C_{V}} = 377 k \\ T_{2} = 300 + 377 = 677 k \end{array}$

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