Question

Ammonia gas decomposes to form nitrogen and hydrogen gases. NH3(g) → N2(g) 3H2(g) If the nitrogen gas is collected in a rigid 2 liter metal cylinder at 22oC at 2000 kPa pressure, how many moles of nitrogen gas (N2) does the cylinder contain?.

Answer 1

Decomposition is a chemical reaction that breaks the reactant into two or more products. Moles of nitrogen gas $(\rm N_{2})$ in the cylinder is 1.63 moles.

What is the ideal gas equation?

The ideal gas equation states the relation of the hypothetical ideal gas according to the pressure, volume, temperature and moles of the gas. It is given by,

$\rm PV = nRT$

Where,

Pressure (P) = 2000 kPa

Volume (V) = 2L

Temperature (T) = 295 K

Gas constant (R)=  0.08206

Substituting values  in the equation:

$\begin{aligned} \rm n &= \rm \dfrac{PV}{RT}\\\\&= \dfrac{2000 \times (\dfrac{1}{101.325}) \times 2}{0.08206 \times 295}\\\\&= 1.63\;\rm mol\end{aligned}$

Therefore, 1.63 moles are produced.

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