How does temperature affect the equilibrium \(\mathrm{H}_{2} \mathrm{O}(\ell) \rightleftarrows \mathrm{H}_{2} \mathrm{O}(\mathrm{g}) ?\) Explain in terms of \(\Delta H^{\circ}\)

Short Answer

Expert verified
Increase in temperature shifts the equilibrium to the right, favoring the endothermic reaction (H2O(l) to H2O(g)), as it absorbs the excess heat. This is because \(\Delta H^{\circ}\) is positive for this reaction. Conversely, a decrease in temperature shifts the equilibrium to the left, favoring the exothermic reaction which releases heat.

Step by step solution

01

Review of Le Chatelier's Principle

Le Chatelier's Principle states that if a stress is applied to a system at equilibrium, the system responds by altering the equilibrium position to relieve that stress.
02

Relation between enthalpy and temperature

For the equilibrium \[\mathrm{H}_{2} \mathrm{O}(\ell) \rightleftarrows \mathrm{H}_{2} \mathrm{O}(\mathrm{g})\] the forward reaction (liquid to gas) is endothermic as it requires heat to go from a liquid state (H2O(l)) to a gaseous state (H2O(g)). This means that \(\Delta H^{\circ}\) is positive.
03

Effect of temperature on the equilibrium

According to Le Chatelier's Principle, if temperature is increased, the system will adjust so as to absorb the excess heat. In this case, the equilibrium will shift to the right to favor the endothermic reaction. Likewise, if temperature is decreased, the reaction will shift left, favoring the exothermic reaction to release heat.

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