In a certain gaseous reaction between $\mathrm{X}$ and $\mathrm{Y},\mathrm{X}+3\mathrm{Y}\to {\mathrm{XY}}_3$ The initial rates are reported as follows:

$\left[\mathrm{X}\right]$	$\left[\mathrm{Y}\right]$	Rate
$0.1 \mathrm{M}$	$0.1 \mathrm{M}$	$0.002 {\mathrm{Ms}}^{-1}$
$0.2 \mathrm{M}$	$0.1 \mathrm{M}$	$0.002 {\mathrm{Ms}}^{-1}$
$0.3 \mathrm{M}$	$0.2 \mathrm{M}$	$0.008 {\mathrm{Ms}}^{-1}$
$0.4 \mathrm{M}$	$0.3 \mathrm{M}$	$0.018 {\mathrm{Ms}}^{-1}$

The rate law is.

If for a reaction in which $\mathrm{A}\left(\mathrm{g}\right)$ converts to $\mathrm{B}\left(\mathrm{g}\right)$ the reaction carried out at constant $\mathrm{V}\&\mathrm{T}$ results into the following graph.

In three different reactions, involving a single reactant in each case, a plot of the rate of the reaction on the $\mathrm{y}$-axis, versus the concentration of the reactant on the $\mathrm{x}$-axis, yields three different curves are shown below.

$\left(\mathrm{I}\right)$ 

$\left(\mathrm{II}\right)$ 

$\left(\mathrm{III}\right)$ 

What are the possible orders of the reactions $\left(\mathrm{I}\right),\left(\mathrm{II}\right),\left(\mathrm{III}\right)$?

A simple mechanism for the enzyme-catalysed reaction is given by the following set of equations:

$\underset{\left(\mathrm{enzyme}\right)}{\mathrm{E}}+\underset{\left(\mathrm{reactant}\right)}{\mathrm{S}}\rightleftharpoons \underset{(\mathrm{intermediate}-1)}{\mathrm{ES}}$

$\underset{(\mathrm{intermediate}-1)}{\mathrm{ES}}\rightleftharpoons \underset{(\mathrm{intermediate}-2)}{\mathrm{EP}}$

$\underset{(\mathrm{intermediate}-2)}{\mathrm{EP}}\rightleftharpoons \underset{\left(\mathrm{enzyme}\right)}{\mathrm{E}}+\underset{\left(\mathrm{product}\right)}{\mathrm{P}}$

This is known as the Michaelis-Menten mechanism. The potential energy diagram is shown in the figure Which of the following sets of identifications is correct? (Assume that the temperature and pressure are constant).