For first order reaction, the rate constant for the decomposition of N 2 O 5 is 6 × 1 0 − 4 s − 1 . Calculate half life period for decomposition in terms seconds

Question

For first order reaction, the rate constant for the decomposition of N 2 ​ O 5 ​ is 6 × 1 0 − 4 s − 1 . Calculate half life period for decomposition in terms seconds

TestHub · Accepted Answer

For a first order reaction, the half-life period is given by the formula:

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

Given $k = 6 \times 1 0^{- 4} s^{- 1}$ , substituting this value:

$t_{1/2} = \frac{0.693}{6 \times 1 0 ^{- 4}}$

$t_{1/2} = \frac{6930}{6}$

$t_{1/2} = 1155 s$

Answer: $1155$

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