Hydrolysis of methyl acetate in aq. solution has been studied by titrating the liberated acetic acid against solidum hydroxide. The conc. of the ester at different time is given below :

Time $(t)$ $\min$	$0$	$30$	$60$	$90$
Con. of ester $(C)$	$0.850$	$0.800$	$0.754$	$0.710$

Show that it follows a pseudo first order reaction as the conc. of  $H_2O$ remain nearly constant $(54.2\,mol\,L^{-1})$ during the course of the reaction. What is the value of $k'$ in this reaction ?

The decomposition of dimethyl ether leads to the formation of $CH _{4}, H _{2}$ and $CO$ and the reaction rate is given by

Rate $=k\left[ CH _{3} OCH _{3}\right]^{3 / 2}$

The rate of reaction is followed by increase in pressure in a closed vessel, so the rate can also be expressed in terms of the partial pressure of dimethyl ether, i.e.

Rate $=k\left(p_{ CH _{3} OCH _{3}}\right)^{3 / 2}$

If the pressure is measured in bar and time in minutes, then what are the units of rate and rate constants?

For a reaction $2NO(g) + C{l_2}(g)$ $\rightleftharpoons$ $\,2NOCl(g)$. When concentration of $C{l_2}$ is doubled, the rate of reaction becomes two times of the original. When the concentration of $NO$  is doubled the rate becomes four times. What is the order of the reaction

If the rate expression for a chemical reaction is given by Rate $ = k{[A]^m}{[B]^n}$

The rate law of the reaction $2{N_2}{O_5} \to 4N{O_2} + {O_2}$ is

In the reaction $2A + B \to {A_2}B$, if the concentration of $A$ is doubled and of $B$ is halved, then the rate of the reaction will