At 30° C, the half life for the decomposition of AB 2 is 200 s and is independent of the initial concentration of AB 2. The time required for 80 % of the AB 2 to decompose is (Given: log 2=0.30 ; log 3=0.48 )

Question

At 30° C, the half life for the decomposition of AB 2 is 200 s and is independent of the initial concentration of AB 2. The time required for 80 % of the AB 2 to decompose is (Given: log 2=0.30 ; log 3=0.48 ) (A) 200 s (B) 323 s (C) 467 s (D) 532 s

Tardigrade Admin · Accepted Answer

T 1 / 2=200 s and 1 text st order reaction K =(2.303 log 2/200)=(2.303/ t ) log ( A 0/0.2 A 0) ( log 2/200)=(1/ t ) log 5 t =(7/3) × 200=466.67 s =467 s

Q. At $3 0^{\circ} C$ , the half life for the decomposition of $A B_{2}$ is $200 s$ and is independent of the initial concentration of $A B_{2}$ . The time required for $80%$ of the $A B_{2}$ to decompose is (Given: $lo g 2 = 0.30; lo g 3 = 0.48$ )

$200 s$

$323 s$

$467 s$

$532 s$

$T_{1/2} = 200 s$ and $1^{st}$ order reaction
$K = \frac{2.303 l o g 2}{200} = \frac{2.303}{t} lo g \frac{A _{0}}{0.2 A _{0}}$
$\frac{l o g 2}{200} = \frac{1}{t} lo g 5$
$t = \frac{7}{3} \times 200 = 466.67 s = 467 s$

Q. At 30∘C, the half life for the decomposition of AB2​ is 200s and is independent of the initial concentration of AB2​. The time required for 80% of the AB2​ to decompose is (Given: log2=0.30;log3=0.48 )

200s

323s

467s

532s