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The maximum work obtained by an isotherm...

The maximum work obtained by an isothermal reversible expansion of 1 mol of an ideal gas at `21^(@)C` from 2.24 to 22.4 L is : (R = 2 cal)

A

-1381.8 cal

B

-600 cal

C

-138.18 cal

D

-690.6 cal

Text Solution

Verified by Experts

The correct Answer is:
A

`W_("max")=-2.303 nRT log_(10) (V_(2))/(V_(1))`
`=-2.303 xx1xx2xx300xx log_(10)(22.4)/(2.24)`
`=-2.303 xx2xx300 xx log _(10) 10`
`W_("max") =-690.6 cals`
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