In the first order reaction the relation between the velocity constant (k1) and half-life period (t1/2) is

Question

In the first order reaction the relation between the velocity constant (k1) and half-life period (t1/2) is (A) t1/2 = (0.693/k1) (B) k1 = (t1/2/0.693) (C) t1/2 = 0.693 + k1 (D) t1/2 = (k1/0.693)

Tardigrade Admin · Accepted Answer

For first order reaction, half-life period, t1/2 = (0.693/k1)

Q. In the first order reaction the relation between the velocity constant $(k_{1})$ and half-life period $(t_{1/2})$ is

$t_{1/2} = \frac{0.693}{k _{1}}$

$k_{1} = \frac{t _{1/2}}{0.693}$

$t_{1/2} = 0.693 + k_{1}$

$t_{1/2} = \frac{k _{1}}{0.693}$

For first order reaction, half-life period,
$t_{1/2} = \frac{0.693}{k _{1}}$

Q. In the first order reaction the relation between the velocity constant (k1​) and half-life period (t1/2​) is

t1/2​=k1​0.693​

k1​=0.693t1/2​​

t1/2​=0.693+k1​

t1/2​=0.693k1​​