Answer the following: (a) a. Write the mathematical relation betw… - Vidyadip

Question

Answer the following:
$(a) a.$ Write the mathematical relation between rate constant and half-life of a first order reaction.
$b.$ What is collision frequency?
$(b)$ If the rate equation is given below:
Rate $= k[A]^2[B]$
then what will be the unit of its rate and rate constant?

✓

Answer

$\text {(i)} \ a.$ $t _{1 / 2}=\frac{0.693}{k}$
$\text {(ii) Unit of rate }=mol \ L^{-1} s^{-1}$
$\text { Unit of rate constant }(k)=\frac{\text { Unit of rate }}{\text { Unit of }\left[A^2\right] \times \text { Unit of }[B]}$
$=\frac{molL^{-1} s^{-1}}{\left(molL^{-1}\right)^2\left(molL^{-1}\right)}$
$=mol^{-2} L^2 s^{-1}$

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