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Q.

The half life of a 1st order reaction is 1 min 40 seconds. Calculate its rate constant (k)

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a

$k = 6 .9 \times 10^{- 3} \min^{- 1}$

b

$k = 6.9 \times 10^{- 3} s^{- 1}$

c

$k = 6.9 \times 10^{- 3} s$

d

k = 100 s

answer is B.

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Detailed Solution

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The half-life of a 1st order reaction is 1min 40 seconds.
Convert minutes into seconds.
1min=60s
t_1/2=1min+40s
t_1/2=60s+40s
t_1/2=100s
k= $\frac{ 0.693}{t_{1 / 2}}$ = $\frac{0.693 }{100 s}$ =k=6.9×10⁻³s^-1
The rate constant is k=6.9×10⁻³s^-1

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The half life of a 1st order reaction is 1 min 40 seconds. Calculate its rate constant (k)