During combustion, N_2 and O_2 in the air react to make the nasty brown gas NO_2

Question

During combustion, N_2 and O_2 in the air react to make the nasty brown gas NO_2 which is smog. The smog rises up into the atmosphere, combines with water vapor and rains down as nitric acid (HNO_3) to acidify all the lakes and streams and kill the fish and plants. The following reactions are relevant. O_2(g) + N_2 (g) rightarrow 2NO(g) 2NO(g) + O_2(g) rightarrow 2NO_2(g) NO_2(g) + H_2 O(g) rightarrow HNO_3 (aq) + NO(g) Balance reaction C. Calculate the moles of HNO_3 that form if 2.2 times 10^-4 moles of NO_2 rise up into the air and react completely with an unlimited amount of water vapor.

Explanation / Answer

The balanced reaction of C will be

3N02 + H20 -----> 2HNO3 + NO

(138) (18) (126) (30) (Value) indicates molecular weight

so,

138 moles of N02 ----------------> 126 Moles of HNO3

2.2 * 10^-4 moles of NO2 ---------------> ? moles of HNO3

Moles of HNO3 = (126* 2.2 * 10^-4 )/138

Moles of HNO3 = 2 * 10^-4 moles of HNO3

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