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

(i)
a. $t _{1 / 2}=\frac{0.693}{k}$
b. The number of collisions per second per unit volume of the reaction mixture. $
\begin{array}{l}
\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}
\end{array}
$

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