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2nd Law of Thermodynamics

5 moles of an...

Question

5 moles of an ideal gas at 300 K and 10 atm pressure undergo isothermal reversible expansion to double its volume. Subsequently it is isothermally compressed to its original volume. What is the net heat absorbed by the gas and what is the net work done by the gas ?

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Solution

$n = 5 mole, T = 300 K, P = 10 a t m, V^{1} = 2 v$ $v = v$
As it is a cyclic process $d U = 0$
$w = - Q$
$w = n R T \times l n (\frac{v_{2}}{v_{1}}) = 5 (0.83) (300) l n 2 w = 862 J Q = - w = - 862$

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