At constant volume, $ 4 \mathrm{~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

Question

At constant volume, $ 4 \mathrm{~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,

MARKS App · Accepted Answer

For ideal gas : Δ U = nC V T 2 − T 1 ⇒ 5000 = 4 × C V [ 500 − 300 ] ⇒ C V = 5000 800 = 6.25 J mole − 1 K − 1

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