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Specific Heat Capacity

Two moles of ...

Question

Two moles of a monoatomic gas at 300 K is kept in a non-conducting container enclosed by a piston. Gas is now compressed to increase the temperature from 300 K to 400 K. Find work done by the gas $(R = \frac{25}{3} J / m o l K)$

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Solution

$Δ Q = Δ U + W$
Since container is non conducting therefore
$Δ Q = 0 = Δ U + W$
$\Rightarrow W = - Δ U = - n \frac{f}{2} R Δ T = - 2 \times \frac{3}{2} R (400 - 300)$
$= - 3 \times \frac{25}{3} \times 100 J = - 2500 J$

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