ThermodynamicsHard
Question
The vapour pressures of water and ice at −10°C are 0.28 and 0.26 Pa, respectively. What is the molar free energy change for the process? H2O (l, −10°C, 0.28 Pa) → H2O (s, −10°C, 0.26 Pa)
Options
A.$R \times 263 \times \ln\frac{14}{13}$
B.$R \times 263 \times \ln\frac{13}{14}$
C.$R \times 10 \times \ln\frac{13}{14}$
D.$R \times 10 \times \ln\frac{14}{13}$
Solution
$H_{2}O\left( l, - 10^{o}C,0.28\text{ Pa} \right) \rightarrow H_{2}O\left( s, - 10^{o}C,0.26\text{ Pa} \right) $$${\downarrow \Delta G_{1} = 0 \uparrow \Delta G_{3} = 0 }{H_{2}O\left( g, - 10^{o}C,0.28\text{ Pa} \right)\overset{\quad\Delta G_{2}\quad}{\rightarrow}H_{2}O\left( g, - 10^{o}C,0.26\text{ Pa} \right)}$$
$\Delta G_{2} = nRT\ln\frac{P_{2}}{P_{1}} = 1 \times R \times 263 \times \ln\frac{0.26}{0.28} $$$\therefore\Delta G = \Delta G_{1} + \Delta G_{2} + \Delta G_{3} = 263R\ln\frac{13}{14}$$
Create a free account to view solution
View Solution FreeMore Thermodynamics Questions
A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 37....If the enthalpy change for the transition of liquid water to steam is 30 kJ mol-1 at 27oC, the entropy change for the pr...For a reversible reaction, if ΔG° = 0, the equilibrium constant of the reaction should be equal to...The dissolution of NH4Cl in water is endothermic even through NH4Cl dissolves in water spontaneously. Which one of the f...According to second law of thermodynamics, heat is partly converted into useful work and part of it...