Question

if a mixture containing 3 moles of hydrogen and 1 mole of nitrogen is converted completely into ammonia,the ratio of initial and final volume at the same temperature and pressure would be

Answer 1

the ratio is 2:1 at the initial and final volume
same temperature and pressure

Answer 2

Answer: The ratio of initial and final volume is 2 : 1

Explanation:

The relationship of number of moles and volume at constant temperature and pressure was given by Avogadro's law.

Mathematically,

$V\propto n$       (At constant temperature and pressure)

Or,

$\frac{V_1}{n_1}=\frac{V_2}{n_2}$

The chemical equation for the formation of ammonia from nitrogen and hydrogen follows:

$N_2+3H_2\rightarrow 2NH_3$

Total number of initial moles (on reactant side), $n_1$ = 1 + 3 = 4

Total number of final moles (on product side), $n_2$ = 2

Taking the ratios, we get:

$\frac{V_1}{4}=\frac{V_2}{2}\\\\\frac{V_1}{V_2}=\frac{4}{2}=\frac{2}{1}$

Hence, the ratio of initial and final volume is 2 : 1