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How much heat does 2.5 mol of nitrogen need to warm by 35 K (a) in a rigid tank and (b) at a steady…

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How much heat does $2.5\ \text{mol}$ of nitrogen need to warm by $35\ \text{K}$ (a) in a rigid tank and (b) at a steady pressure? Why is the second answer larger? Take nitrogen as a diatomic gas. ( $R = 8.31\ \text{J mol}^{-1}\text{K}^{-1}$ )

Need a reminder? The key ideaShow

Molar heat capacities: $C_v = \tfrac{f}{2}R$ and $C_p = C_v + R$ (Mayer), with $\gamma = \dfrac{C_p}{C_v}$ . Monatomic: $12.5\ \text{J mol}^{-1}\text{K}^{-1}$ , $20.8\ \text{J mol}^{-1}\text{K}^{-1}$ , $\gamma = 1.67$ . Diatomic: $20.8\ \text{J mol}^{-1}\text{K}^{-1}$ , $29.1\ \text{J mol}^{-1}\text{K}^{-1}$ , $\gamma = 1.40$ . $Q = nC\,\Delta T$ , and $\Delta U = nC_v\,\Delta T$ in every process.

The worked solution

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How much heat does 2.5 mol of nitrogen need to warm by 35 K (a) in a rigid tank and (b) at a steady…

The worked solution

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