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Thermodynamic Processes

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Question

Temperature of 5 mol of $O_{2}$ gas increases $10^{0} C$ to $20^{0} C$ then calculate change in internal energy of $O_{2}$ gas. If heat capacity of $O_{2}$ gas at constant pressure is f cal/mol.k :

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Solution

At const press
$C_{p} = f c a l / m o l k$
At const Vol,
$C_{v} = C_{p} - R$
$= (f - 2) c a l / m o l k$
$Δ V = n C_{v} Δ T$
$= 5 \times (f - 2) \times 10$
$= 50 (f - 2) c a l$

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