$3\mathrm{.}33$ C$.$ N$.$ Hinshelwood and R$.$ E$.$ Burk $[$J$.$ Chem. Soc., $127,1105$

$(1925)]$ studied the decomposition of ammonia into its ele$-$

ments over a heated platinum filament at $1138C.$ The reaction

stoichiometry is

$2N{H}_3{N}_2+3H_2$

Initially, $200$ torr of $N{H}_3$ was present in the reaction vessel.

The following data are representative of the kinetics of the

reaction. The reaction occurs in a constant volume system.

It has been postulated that the rate expression is of the form

$r=k\frac{P_{N{H}_3}}{P_{H_2}}$

where the partial pressures of ammonia $(P_{N{H}_3})$ and hydro$-$

gen $(P_{H_2})$ are expressed in consistent units. The effect of the

reverse reaction may be neglected.

$($a$)$ Determine the manner in which these data should be plot$-$

ted so that a straight line will result if the form of the

postulated rate expression is correct. Use an integrated

form of the rate expression in determining the requisite

functional form.

$($b$)$ Work up the data in tabular form and prepare a plot using

the coordinates determined in part $($a$).$

$($c$)$ Are the data consistent with the rate expression postu$-$

lated?

$($d$)$ If the data are consistent, what is the corresponding value

of the rate constant?