5moles of oxy...

Question

$5$ moles of oxygen are heated at constant volume from $10^{0} C$ to $20^{0} C$ . The change in internal energy of the gas is:
$C_{p} = 7.03 c a l m o l^{- 1} K^{- 1}$ and $R = 8.31 J m o l^{- 1} K^{- 1}$

125 c a l

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252 c a l

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50 c a l

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500 c a l

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Solution

The correct option is B $252 c a l$
$Δ U = n C_{V} Δ T$
Also, $C_{P} - C_{V} = R$
$⟹ 7.03 - C_{V} = \frac{8.31}{4.18} = 1.98$
Now, $C_{V} = 5.05; n = 5; Δ T = 10$
$∴ Δ U = 5 \times 5.05 \times 10 = 252.5 \approx 252 c a l$

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