For the decomposition of azomethane. CH 3 N 2 CH 3( g ) arrow CH 3 CH 3( g )+ N 2( g ) a first order reaction, the variation in partial pressure with time at 600 K is given as The half life of the reaction is × 10-5 s [Nearest integer]

Question

For the decomposition of azomethane. CH 3 N 2 CH 3( g ) arrow CH 3 CH 3( g )+ N 2( g ) a first order reaction, the variation in partial pressure with time at 600 K is given as <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/f97c3ab43f8272e34f517f90c745a29a-.png" /> The half life of the reaction is × 10-5 s [Nearest integer] (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

For first order reaction k =(1/ t ) ln (( P 0/ P )) ln (( P 0/ P ))= kt t 1 / 2=( ln 2/ k )=(0.693/3.465 × 104)=2 × 10-5

Q. For the decomposition of azomethane.
$C H_{3} N_{2} C H_{3} (g) \to C H_{3} C H_{3} (g) + N_{2} (g)$ a first order reaction, the variation in partial pressure with time at $600 K$ is given as

The half life of the reaction is ______ $\times 1 0^{- 5} s$
[Nearest integer]

For first order reaction
$k = \frac{1}{t} ln (\frac{P _{0}}{P})$
$ln (\frac{P _{0}}{P}) = k t$
$t_{1/2} = \frac{l n 2}{k} = \frac{0.693}{3.465 \times 1 0 ^{4}} = 2 \times 1 0^{- 5}$

Q. For the decomposition of azomethane. CH3​N2​CH3​(g)→CH3​CH3​(g)+N2​(g) a first order reaction, the variation in partial pressure with time at 600K is given as The half life of the reaction is ______ ×10−5s [Nearest integer]

For first order reaction k=t1​ln(PP0​​) ln(PP0​​)=kt t1/2​=kln2​=3.465×1040.693​=2×10−5

Q. For the decomposition of azomethane.
$C H_{3} N_{2} C H_{3} (g) \to C H_{3} C H_{3} (g) + N_{2} (g)$ a first order reaction, the variation in partial pressure with time at $600 K$ is given as

The half life of the reaction is ______ $\times 1 0^{- 5} s$
[Nearest integer]

For first order reaction
$k = \frac{1}{t} ln (\frac{P _{0}}{P})$
$ln (\frac{P _{0}}{P}) = k t$
$t_{1/2} = \frac{l n 2}{k} = \frac{0.693}{3.465 \times 1 0 ^{4}} = 2 \times 1 0^{- 5}$