# Gas Stoichiometry

Gas Stoichiometry - Explained

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## Key Questions

• Gas stoichiometry is the study of the relative amounts of reactants and products in reactions that involve gases.

EXAMPLE
Calculate the volume of gaseous NOâ‚‚ produced by the combustion of 100 g of NHâ‚ƒ at 0Â°C and 100 kPa.

Solution

Step 1. Write the balanced chemical equation.

4NHâ‚ƒ(g) + 7Oâ‚‚(g) â†’ 4NOâ‚‚(g) + 6Hâ‚‚O(l)

Step 2. Convert mass of NHâ‚ƒ â†’ moles of NHâ‚ƒ â†’ moles of NOâ‚‚.

100 g NHâ‚ƒ Ã— $\left(1 {\text{mol NH"_3)/(17.03"g NH"_3) Ã— (4"mol NO"_2)/(4"mol NH}}_{3}\right)$ = 5.872 mol NHâ‚ƒ (3 significant figures +
1 guard digit)

Step 3. Use the Ideal Gas Law to calculate the volume of NOâ‚‚.

$P V = n R T$

$V = \frac{n R T}{P} = \left(5.872 \text{mol" Ã— 8.314"kPaÂ·LÂ·K"^-1"mol"^-1 Ã— 273"K")/(100 "kPa}\right)$ = 133 L

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