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Equilibrium Pressure for a Gas Phase Reaction

CHEM-L0JAKP

The gases nitrogen (${ N }_{ 2 }$) and oxygen (${ O }_{ 2 }$) are the two most abundant gases in the atmosphere. These two gases can react to form nitric oxide ($NO$) by the following reaction.

$${ N }_{ 2 }(g)+{ O }_{ 2 }(g)⇌2NO(g)$$

What is the partial pressure of $NO$ at equilibrium with ${ N }_{ 2 }$ and ${ O }_{ 2 }$ if ${ P }_{ { N }_{ 2 } }=0.78\text{ atm}$ and ${ P }_{ { O }_{ 2 } }=0.21\text{ atm}$?

$K_{ P }=2.0\times { 10 }^{ -31 }$