Govt. Exams
Entrance Exams
Heat and work are path functions because their values depend on the path followed during the process. Internal energy, enthalpy, and Gibbs free energy are state functions.
Using first law: ΔU = Q - W, so Q = ΔU + W = -50 + 30 = -20 J. Heat is released by the system.
Maximum efficiency is Carnot efficiency: η_max = 1 - T_c/T_h = 1 - (400/500) = 1 - 0.8 = 0.2 = 20%.
By energy conservation: Q_in = W + Q_out, so Q_out = Q_in - W = 500 - 200 = 300 J.
In isothermal process, T is constant. From ideal gas law PV = nRT, if T is constant, then PV = constant (Boyle's Law).
Isobaric process is defined as a process at constant pressure. Prefix 'iso' means constant, and 'baric' refers to pressure.
Carnot efficiency η = 1 - (T_cold/T_hot) = 1 - (300/600) = 1 - 0.5 = 0.5 = 50%.
In a cyclic process, the system returns to its initial state, so ΔU = 0. By first law: Q = ΔU + W = W.
In adiabatic compression, Q=0. Work is done ON the gas (W<0), so ΔU = Q - W = -W > 0. Internal energy increases, causing temperature to rise.
Work in isobaric process: W = P(V_f - V_i) = P(2V - V) = PV