Organic Chemistry Practice Problems Gibbs Free Energy Practice Problems Solution: The reaction of chloroethane with water in the gas...

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# Solution: The reaction of chloroethane with water in the gas phase to produce ethanol and hydrogen chloride has ΔH° = +26.6 kJ mol -1 and ΔS° = +4.81 J K-1 mol-1 at 25°C. (b) Calculate ΔG° for the reaction. What can you now say about whether the reaction will proceed to completion?

###### Problem

The reaction of chloroethane with water in the gas phase to produce ethanol and hydrogen chloride has ΔH° = +26.6 kJ mol -1 and ΔS° = +4.81 J K-1 mol-1 at 25°C. (b) Calculate ΔG° for the reaction. What can you now say about whether the reaction will proceed to completion?

###### Solution

We’re being asked to calculate the free energy change (ΔG˚) for the reaction of chloroethane with water at 25 ˚C.

We can calculate for ΔG˚ using the following equation:

$\overline{){\mathbf{\Delta G}}{\mathbf{°}}{\mathbf{=}}{\mathbf{\Delta H}}{\mathbf{°}}{\mathbf{-}}{\mathbf{T\Delta S}}{\mathbf{°}}}$

We’re given:

ΔH˚ = 26.6 kJ mol–1

ΔS˚ = 4.81 J K–1 mol–1

T = 25 ˚C + 273 = 298 K

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