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Question

How much heat is required to vaporize 1.4 g of water at 100^circ C and 1 atm ? (Latent heat = 2256 J/g )

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Explanation

**Isobaric and isothermal** are fundamental thermodynamic processes, isobaric P constant horizontal line on P-V diagram, isothermal hyperbolic P = n R T/V, work equals area under curve, isothermal work larger than adiabatic for same volume change because pressure higher. Δ Q = m L . m = 1.4 , L = 2256 . Δ Q = 1.4 × 2256 = 3158.4 J ≈ 3158 J . Using first law ΔU = Q - W, W = ∫ P dV, isobaric W = P ΔV, isothermal W = n R T ln(V₂/V₁), adiabatic P V^γ = const and η = 1 - T_c/T_h, evaluation yields 3158

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