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Difference between Internal Energy and Enthalpy

Calculate wor...

Question

Calculate work done when 2 mole of an ideal gas expands isothermally and reversibly at $300 K$ from 10 atm pressure to 2 atm pressure.

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Solution

$W = - n R T ln \frac{P_{1}}{P_{2}}$

Given that,
$n = 2$ moles
$T = 300$ K
$P_{1} = 10$ atm; $P_{2} = 2$ atm

Now,

$W = - 2 \times 8.314 \times 300 ln (\frac{10}{2})$

$W = - 8.028$ kJ.

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