Which of the following optioms correctly represents relationship between $t_{7/8}$ and $t_{1/2}$ where $t_{7/8}$ represent time required for concentration to become $\frac{1}{8} \,th$ of original for a reaction of order $'n'$
$t_{7/8} =(2n+ 1)\ t_{1/2}$
$t_{7/8} = t_{1/2}\, [2^{n-1} - 1]$
$t_{7/8} = t_{1/2}\, [2^{n-1} + 1]$
$t_{7/8} = t_{1/2}\, [2^{2n-2} + 1+2^{n-1}]$
Following is the rate constant of reaction what is the overall order of reaction ?
$(a)$ $2.418 \times 10^{-5}\,hr ^{-1}$
$(b)$ $7.1 \times 10^{-4} \,atm \,s ^{-1}$
If a reaction has the experimental rate expression rate $= K [A]^2[B]$, if the concentration of $A$ is doubled and the concentration of $B$ is halved, the what happens to the reaction rate
Decay of $_{92}{U^{235}}$is .....order reaction
Which of the following statements is false ?
Assertion : The kinetics of the reaction -
$mA + nB + pC \to m' X + n 'Y + p 'Z$
obey the rate expression as $\frac{{dX}}{{dt}} = k{[A]^m}{[B]^n}$.
Reason : The rate of the reaction does not depend upon the concentration of $C$.