What will be the half-life period of a first order reaction with rate constant k=5.5 × 10-14 s-1 ?

Question

What will be the half-life period of a first order reaction with rate constant k=5.5 × 10-14 s-1 ? (A)  1.26× 1013s  (B)  2.16× 1013s  (C)  1.26× 10-13s  (D)  2.16× 10-13s

Tardigrade Admin · Accepted Answer

For the first order reaction, ∵ t1 / 2=(0.693/k) ∴ =(0.693/5.5 × 10-14 s-1) t1 / 2=1.26 × 1013 s

Q. What will be the half-life period of a first order reaction with rate constant $k = 5.5 \times 1 0^{- 14} s^{- 1}$ ?

$1.26 \times 1 0^{13} s$

$2.16 \times 1 0^{13} s$

$1.26 \times 1 0^{- 13} s$

$2.16 \times 1 0^{- 13} s$

For the first order reaction,
$∵ t_{1/2} = \frac{0.693}{k}$
$∴ = \frac{0.693}{5.5 \times 1 0 ^{- 14} s ^{- 1}}$
$t_{1/2} = 1.26 \times 1 0^{13} s$

Q. What will be the half-life period of a first order reaction with rate constant k=5.5×10−14s−1 ?

1.26×1013s

2.16×1013s

1.26×10−13s

2.16×10−13s