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 )

Step-by-step solution

Given, T = 300 K , V 1 = 10 L , V 2 = 100 L , n = 5 It is isothermal reversible expansion, so work done negative W = − 2 .303 nRT log V 2 V 1 = − 2 .303 × 5 × 8 .314 × 300 log 100 10 = − 28720 .713 J ≡ − 28721 J