The equilibrium composition for the reaction $\mathrm{PCl}_{3}+\mathrm{Cl}_{2} \rightleftharpoons \mathrm{PCl}_{5}$ at $298 \mathrm{~K}$ is given below:

$\left[\mathrm{PCl}_{3}\right]_{\mathrm{eq}}=0.2 \mathrm{~mol} \mathrm{~L}^{-1},\left[\mathrm{Cl}_{2}\right]_{\mathrm{eq}}=0.1 \mathrm{~mol} \mathrm{~L}^{-1},\left[\mathrm{PCl}_{5}\right]_{\mathrm{eq}}=0.40 \mathrm{~mol} \mathrm{~L}^{-1}$

If $0.2 \mathrm{~mol}$ of $\mathrm{Cl}_{2}$ is added at the same temperature, the equilibrium concentrations of $\mathrm{PCl}_{5}$ is __________ $\times 10^{-2} \mathrm{~mol} \mathrm{~L}^{-1}$

Given : $\mathrm{K}_{\mathrm{c}}$ for the reaction at $298 \mathrm{~K}$ is 20

A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is ___________. (Nearest integer)

(Given : antilog 0.125 = 1.333, antilog 0.693 = 4.93)

For a first order reaction A $\to$ B, the rate constant, k = 5.5 $\times$ 10^$-$14 s^$-$1 times the half life of reaction. The value of x is _____________ (Nearest integer)

For the given first order reaction

$\mathrm{A} \rightarrow \mathrm{B}$

the half life of the reaction is $0.3010 \mathrm{~min}$. The ratio of the initial concentration of reactant to the concentration of reactant at time will be equal to ___________. (Nearest integer)

Assuming $1 \,\mu \mathrm{g}$ of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is ______ $\times\, 10^{-1} \mu \mathrm{g}$.

For conversion of compound A $\to$ B, the rate constant of the reaction was found to be $\mathrm{4.6\times10^{-5}~L~mol^{-1}~s^{-1}}$. The order of the reaction is ____________.

For the first order reaction A $\to$ B, the half life is 30 min. The time taken for 75% completion of the reaction is _________ min. (Nearest integer)

Given : log 2 = 0.3010

log 3 = 0.4771

log 5 = 0.6989

A(g) $\to$ 2B(g) + C(g) is a first order reaction. The initial pressure of the system was found to be 800 mm Hg which increased to 1600 mm Hg after 10 min. The total pressure of the system after 30 min will be _________ mm Hg. (Nearest integer)

$\mathrm{t}_{87.5}$ is the time required for the reaction to undergo $87.5 \%$ completion and is the time required for the reaction to undergo completion. The relation between and for a first order reaction is The value of is ___________. (Nearest integer)

The number of incorrect statement/s from the following is ___________

A. The successive half lives of zero order reactions decreases with time.

B. A substance appearing as reactant in the chemical equation may not affect the rate of reaction

C. Order and molecularity of a chemical reaction can be a fractional number

D. The rate constant units of zero and second order reaction are $\mathrm{mol} ~\mathrm{L}^{-1} \mathrm{~s}^{-1}$ and respectively

Time required for completion of $99.9 \%$ of a First order reaction is ________ times of half life $\left(t_{1 / 2}\right)$ of the reaction.

A molecule undergoes two independent first order reactions whose respective half lives are 12 min and 3 min. If both the reactions are occurring then the time taken for the 50% consumption of the reactant is ___________ min. (Nearest integer)