Question

If a is the initial concentration of reaction, then the half-life period of a reaction of nth order is:

• A. ${\alpha }^n$
• B. ${\alpha }^{n-1}$
• C. ${\alpha }^{1-n}$
• D. ${\alpha }^{n+1}$

Answer 1

The correct option is C ${\alpha }^{1-n}$

Relation between half-life period of a reaction and initial concentration is as follows : $t^{1/2}\propto \frac{1}{a^{n-1}}$

For First order reaction (Half life $\propto a^0)$

For Second order reaction (Half life $\propto 1/a)$

For Third order reaction (Half life $\propto 1/a^2)$