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Question

Find the isothermal irrevesible work done when 2 moles of hydrogen expand from 15 to 50 litres against a constant pressure of 1 atm at 25oC.

A
-848.2 cal
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B
848.2 kcal
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C
-84.7 cal
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D
84.7 kcal
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Solution

The correct option is A -848.2 cal
The formula of work done (W) for an Isothermal Irreversible expansion is
W=P(V2V1)
Where V1 is the initial volume of the gas =15L
V2 is the final volume of the gas =50L
​​
W=1 atm×(5015)L=35 L atm
W=35×101.3 J=3545.5 J (1 Latm=101.3 J)
W=3545.54.18 (1 cal=4.18 J)=848.2 cal

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