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System, Surroundings, Intensive, Extensive Properties

Three moles o...

Question

Three moles of an ideal gas expands reversibly under isothermal condition from 2 L to 20 L at 300 K. The amount of heat-change (in kJ/mol) in the process is:

A

0

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B

7.2

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C

10.2

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D

17.2

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Solution

The correct option is D 17.2
$Δ U = q + w$

Work done in an isothermal reversible process is:

$w = - n R T l n \frac{V_{2}}{V_{1}} = - 3 \times 8.314 \times 300 l n \frac{20}{2} = - 17232.4 J$

As the process of isothermal $Δ U = 0$

$q = - w = + 17.2 k J$

Hence, option D is correct.

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