Consider the figure provided. 1 mol of an ideal gas is kept in a cylinder, fitted with a piston, at the position A , at 18∘C. If the piston is moved to position B , keeping the temperature unchanged, then ' x ' L atm work is done in this reversible process. x= ______ L atm. (nearest integer) [Given : Absolute temperature =∘C+ 273.15, R=0.08206Latmmol−1K−1 ]
Answer: 55
Solution
Isothermal reversible expansion from A (10 L) to B (100 L) at T=18+273.15=291.15 K: w=−nRTlnV1V2=−(1)(0.08206)(291.15)ln10100≈−55.0 L·atm. Work done by the gas ≈55 L·atm, so x=55.
