Govt. Exams
Entrance Exams
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
In isochoric (constant volume) process, W = ∫PdV = 0 since dV = 0
Charles's Law: At constant pressure, V/T = constant, so V ∝ T