A gas mixture of hydrogen and nitrogen is fed to a reactor where they react to form ammonia. The nitrogen flow rate into the reactor is $150mo\frac{l}{h}$ and the hydrogen is fed at a ratio of $4$ mole $H_2$ per mole of $N_2.$

The reaction is represented by $N_2+3H_{2}2N{H}_3$

Of the $N_2$ fed to the reactor, $70\%$ is consumed by the reaction.

If the nitrogen reactor operates at steady$-$state, calculate the flow rate $(mo\frac{l}{h})$ in the reactor out of:

$($i$)N_2$

$($ii$)H_2,$ and

$($iii$)N{H}_3$