If 5 moles of an ideal gas expands from $10 L$ to a volume of $100 L$ at $300 K$ under isothermal and reversible condition then work, $w$ , is $- x J$ . The value of $x$ is_______
(Given $R = 8.314 J K^{- 1} mol^{- 1}$ )

Question

If 5 moles of an ideal gas expands from 10L to a volume of 100L at 300K under isothermal and reversible condition then work, w, is -xJ. The value of x is_______ (Given R=8.314JK^-1 mol^-1 )

Accepted Answer

Correct answer: 28721. (28721) It is isothermal reversible expansion, so work done negative W=-2.303 nRTlog ( V_2 V_1 )=-2.303 5 8.314 300 log ⁡ ( 10010 )=-28720.713 J ≡-28721 J

$If 5 moles of an ideal gas expands from 10 L to a volume of 100 L at 300 K under isothermal and reversible condition then work, w, is - x J . The value of x is_______(Given R = 8.314 J K^{- 1} mol^{- 1})$

Solution

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