Question

A.Ideal gas (one mole) at temperature t=100C and pressure 2atm. How much work can be obtained upon equilibrating the system with the environment at t=25C, and 1atm. a) V = const b) V changes, P external = const

B. Two different gases (1 mole each) are separated by a membrane. Conditions: V1 and T1; V2 and T2 given. How much work can be done by the system upon mixing of gases and equilibrating with the environment, external pressure is P_0, and temperature T_0. a) V= const b) V changes, P external = const

Answer 1

No of moles = 1 mole initial p = 2 atm final P = 1 atm initial T = 100 degree c final T = 25 degree C P upsilon = nRT upsilon = n RT/P upsilon = 15.31 L upsilon = 1 times 0.821 times 298/1 upsilon = 24.46 P = constant = pretence = 1 atm dw = -P_eat dv integral dw = integral - P_eat (v_f - V_i) = -P_eat Delta v = -1 times (24.46 - 15.31) w = -9.1558 J P_eat = nRT/v if v = const w = -p_eat Delta v = nRT/V Delta v if v = constant then no work done