Calculate the half life of the first order reaction from their rate constant given as `100 s^(-1)`
(1) `100 s^(-1)`
(2) `6.93 xx 10^(-2)s`
(3) `0.693 xx 10^(-3)s`
(4) `6.93 xx 10^(-3)`s
(ii) Calculate the half life of the first order reaction from their rate constant given as `0.5 min^(-1)`
(1) 1.386 min, (2) 0.3465 min
(3) 0.231 min, (4) 1.0395 min

Explanation

To solve the problem of calculating the half-life of a first-order reaction from the given rate constants, we can follow these steps:

### Step 1: Understand the Formula for Half-Life of a First-Order Reaction
The half-life (\(t_{1/2}\)) of a first-order reaction is given by the formula:
\[ t_{1/2} = \frac{0.693}{k} \]
where \(k\) is the rate constant.
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