JEE Mains · Chemistry · STD 11 - 5. Thermodynamics and thermochemistry
At constant volume, \(4\; mol\) of an ideal gas when heated from \(300\; \mathrm{K}\) to \(500\; \mathrm{K}\) changes its internal energy by \(5000\; \mathrm{J}\). The molar heat capacity at constant volume is ............... \(\mathrm{J\,mol}^{-1} \, \mathrm{K}^{-1}\)
- A \(7.25\)
- B \(6.75\)
- C \(7\)
- D \(6.25\)
Answer & Solution
Correct Answer
(D) \(6.25\)
Step-by-step Solution
Detailed explanation
For ideal gas: \(\Delta \mathrm{U}=\mathrm{nC}_{\mathrm{V}}\left[\mathrm{T}_{2}-\mathrm{T}_{1}\right]\) \(\Rightarrow \quad 5000=4 \times \mathrm{C}_{\mathrm{V}}[500-300]\) \(\Rightarrow \quad \mathrm{C}_{\mathrm{v}}=\frac{5000}{800}=6.25 \mathrm{J}\) \(mole\)…
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