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Area and Volume Expansion

The temperatu...

Question

The temperature of $5 m o l$ of a gas which was held at constant volume was changed from $100^{o} C$ to $120^{o} C$ . The changes in internal energy was found to be $80 J$ . Find the molar heat capacity of the gas at constant volume?

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Solution

$\begin{matrix} Δ u = n C_{v} Δ T \Rightarrow 80 = 5. C_{v} .20 \Rightarrow C_{v} = \frac{80}{100} = \frac{4}{5} ∴ C_{v} = \frac{4}{5} \end{matrix}$

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