Project ForgeProcess Calculations
Laws of Thermodynamics
GATE 2017
Hard
A liquid's pressure increases isothermally, molar volume decreasing from 50.45×10⁻⁶ to 48×10⁻⁶ m³/mol. Isothermal compressibility=10⁻⁹ Pa⁻¹ (pressure-independent). The change in molar Gibbs free energy, rounded to nearest integer, is
2450 J/mol(± 15 accepted)
Explanation
Since dV/dP=−κV, ΔG=∫VdP=−(V2−V1)/κ=−(48×10⁻⁶−50.45×10⁻⁶)/10⁻⁹=2.45×10⁻⁶/10⁻⁹=2450 J/mol.
Source: GATE CH 2017 (2017)
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