1.0 mol of a monoatomic ideal gas is expanded from state (1) to state (2) as shown in figure. Calculate the work done for the expansion of gas from state (1) to state (2) at 298 K.

Explanation

The given diagram represent that the prcess is carried out in infinite steps, hence it is isothermal reversible expansion of the ideal gas from pressure 2.0 atm to 1.0 atm 298 K.
`W = - 2.303 nRT log. (p_(1))/(p_(2))`
`W = - 2.303 xx 1 mol xx 8.314 JK^(-1) xx 298 K log 2 " " ( :. (p_(1))/(p_(2)) = (2)/(1))`
`W = - 2.303 xx 1 xx 8.314 xx 298 xx 0.3010 J`
`W = - 1717.46 J`