Nitric oxide, NO, also known as nitrogen monoxide, is one of the primary contrib

Question

Nitric oxide, NO, also known as nitrogen monoxide, is one of the primary contributors to air pollution, acid rain, and the depletion of the ozone layer. The reaction of oxygen and nitrogen to form nitric oxide is

N2(g)+O2(g)?2NO(g)

The heat produced by an automobile engine is sufficient to convert some of the nitrogen and oxygen in the air to nitric oxide. The spontaneity of a reaction can be determined from the free energy change for the reaction, ?G?.

A reaction is spontaneous when the free energy change is less than zero.

A reaction is nonspontaneous when the free energy change is greater than zero.

A reaction is in equilibrium when the free energy change is equal to zero.

Relationship between free energy and the equilibrium constant

The standard free energy change ?G? and the equilibrium constant K for a reaction can be related by the following equation:

?G?=?RTlnK

where T is the Kelvin temperature and R is equal to 8.314J/(mol?K).

Part B

Calculate the equilibrium constant for the reaction forming nitric oxide at room temperature, 25 ?C.

Express your answer numerically.

K = ?????????

Explanation / Answer

? G = ? H - (T)( ? S)

? G = -(R)(T) lnK

?H - (T) (? S) = - (R)(T) ln K

Plug your numbers in to get:

(180.5 kj/mol) - (25C+273K) (24.8 J/mol*K) = - (8.314J/mol*K)(25C+273K) ln (K)

(180,500 J/mol) - (298) (24.8 J/mol*K) = - (8.314J/mol*K)(298) ln (K)

(173109.6) = -(2477.572) ln K

ln K = -69.8706637

K=4.5235 X 10^-31

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