Question

In: Chemistry

Predict the spontaneity of a reaction (and the temperature dependence of the spontaneity) for each possible...

Predict the spontaneity of a reaction (and the temperature dependence of the spontaneity) for each possible combination of signs for ?rH and?rS (for the system).

-?rH negative, ?rS positive

-?rH positive, ?rS negative

-?rH negative, ?rS negative

-?rH positive, ?rS positive

a) The reaction will be spontaneous at all temperatures.
b) The reaction will be nonspontaneous at low temperature, but spontaneous at high temperature.
c) The reaction will be spontaneous at low temperature, but nonspontaneous at high temperature.
d) The reaction will be nonspontaneous at all temperatures.

Solutions

Expert Solution

The relationship between the gibbs free energy change, enthalpy change and entropy change is

A reaction is spontaneous when .

a) The reaction will be spontaneous at all temperatures.

This will be true when ?rH negative, ?rS positive.

In such a case,

b) The reaction will be nonspontaneous at low temperature, but spontaneous at high temperature.

This will be true when ?rH positive, ?rS positive.

In such a case, at low temperature and at high temperature

c) The reaction will be spontaneous at low temperature, but nonspontaneous at high temperature.

This will be true when ?rH negative, ?rS negative

In such a case, at low temperature and at high temperature

d) The reaction will be nonspontaneous at all temperatures.

This will be true when -?rH positive, ?rS negative.

In such acase, at all temperatures .


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