Govt. Exams
Entrance Exams
At the critical point, surface tension between liquid and gas phases vanishes because the distinction between phases disappears. The critical compressibility factor Zc ≈ 0.27 (not 1).
Amagat's law: V_total = V_H₂ + V_N₂. If partial volumes are equal, each is 50%, so x_H₂ = 0.5
Throttling is an adiabatic (Q=0) but irreversible process with no work done, causing entropy increase
For spontaneity at constant T and P: ΔG = ΔH - TΔS must be negative (ΔG < 0)
For ideal gases, f = P (fugacity equals pressure), so φ = f/P = 1. Real gases have φ ≠ 1
ΔS = ΔH/T = (100×334)/273.15 ≈ 122.3 J/K = 1.223 kJ/K ≈ 1.22 J/K (in kJ/K)
H = U + PV. The PV term represents flow work needed to push fluid across system boundaries in steady flow
For van der Waals gas: Z_c = P_c V_c/(nRT_c) = 3/8 = 0.375 (theoretical value)
Helmholtz free energy is defined at constant T and V. ΔA_max = W_useful (non-PV work)
P₁V₁ᵞ = P₂V₂ᵞ → P₂ = P₁(V₁/V₂)ᵞ = 1×(1/0.5)^1.4 = 2^1.4 ≈ 2.64 atm