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2nd Law of Thermodynamics

At constant v...

Question

At constant volume, 4 mol of an ideal gas when heated from 300 K to 500 K changes its internal energy by 5000 J. The molar heat capacity at constant volume is.

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Solution

$Δ U = n C_{v} Δ T$
$5000 = 4 \times C v (500 - 300)$
$C v = 6.25 {JK}^{- 1} {mol}^{- 1}$

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