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At high temperatures, the nitrogen and oxygen in air react to form a mixture of nitrogen monoxide and nitrogen dioxide.

At $1000 \textrm{ K}$, the equilibrium constants for the formation of nitrogen monoxide and nitrogen dioxide are $1.5\times10^{-4}$ and $1.0\times10^{-5}$, respectively.

What total pressure would provide equal partial pressures of nitrogen monoxide and nitrogen dioxide at equilibrium?

Air is $78\%$ nitrogen and $21\%$ oxygen by moles.

A

$0.32\textrm{ atm}$

B

$3.2 \textrm{ atm}$

C

$15 \textrm{ atm}$

D

$55\textrm{ atm}$

E

$71 \textrm{ atm}$

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