The three experimental data for determine the differential rate of reaction $Cl _{2( g )} + 2NO _{( g )} \rightarrow 2 NOCl_{( g )}$ at $310\, K$ temperature.

$(a)$ Derive differential rate of reaction.

$(b)$ Calculate order of reaction.

$(c)$ Calculate value of rate constant.

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$(a)$ $-\frac{d\left[\mathrm{Cl}_{2}\right]}{d t}=-\frac{d[\mathrm{NO}]}{d t}=k[\mathrm{NO}]^{2}\left[\mathrm{Cl}_{2}\right]^{1}$

$(b)$ Order of reaction $=2+1=3$

$(c)$ $175 \mathrm{~L}^{2} \mathrm{~mol}^{-2} \mathrm{~s}^{-1}$ ]

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