# What volume of ammonia may be prepared from a 1*g mass of dinitrogen gas?

Sep 9, 2017

Approx. $1 \cdot L$ of ammonia............

#### Explanation:

We need (i) a stoichiometric equation.....

$\frac{1}{2} {N}_{2} \left(g\right) + \frac{3}{2} {H}_{2} \left(g\right) r i g h t \le f t h a r p \infty n s N {H}_{3} \left(g\right)$

And (ii) we need equivalent quantities of dinitrogen gas.....

$\equiv \frac{1.4 \cdot g}{28.01 \cdot g \cdot m o {l}^{-} 1} = 0.050 \cdot m o l$ with respect to ${N}_{2}$.

Given the equation I can make AT MOST $0.100 \cdot m o l$ with respect to ammonia........Agreed?

Since an ideal gas has a molar volume at STP of $22.4 \cdot L \cdot m o {l}^{-} 1$ (or whatever your syllabus says), we gots a volume of....

$22.4 \cdot L \cdot m o {l}^{-} 1 \times 0.05 \cdot m o l \cong 1 \cdot L$