An ideal gas at pressure P and volume V is expanded to volume 2V. Column I represents the thermodynamic process used during expansion. Column II represents the work done during processes in the random order.

An ideal gas at pressure P and volume V is expanded to volume 2V. Colu

1.	An ideal gas at pressure P and volume V is expanded to volume 2V. Column I represents the thermodynamic process used during expansion. Column II represents the work done during processes in the random order.
Answer» `A rarr Q, B rarr R, C rarr P` `A rarr Q, B rarr P, C rarr R` `A rarr P, B rarr Q, C rarr R` `A rarr R, B rarr Q, C rarr P` SOLUTION :For an isobaric process, Work done `= Pdelta V = P(2V - V) = PV` For an ISOTHERMAL process, Work done `= RT ln ((2V)/(V)) = PV ln 2` For an adiabatic process, `PV^(GAMMA) = P_(1)(2V)^(gamma)` or `P_(1) = ((1)/(2))^(gamma) P = P_(2)^(-gamma)` `:.` Work done`= (PV - P_(1)(2V))/(gamma - 1) = (PV (1-2^(1-gamma)))/(gamma - 1)` Thus, `A rarr Q, B rarr, C rarr P`