For a reaction A arrow 2 B + C the half lives are 100 s and 50 s when the concentration of reactant A is 0.5 and 1.0 mol L -1 respectively. The order of the reaction is (Nearest Integer)

Question

For a reaction A arrow 2 B + C the half lives are 100 s and 50 s when the concentration of reactant A is 0.5 and 1.0 mol L -1 respectively. The order of the reaction is (Nearest Integer) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

t (1/2) propto (1/[ A 0] n -1) [100] propto (1/(0.5) n -1) (50) propto (1/(1)n-1) [2]1=[(1/0.5)]n-1 [2]1=[2]n-1 n-1=1 n=2 order =2

Q. For a reaction $A \to 2 B + C$ the half lives are $100 s$ and $50 s$ when the concentration of reactant $A$ is $0.5$ and $1.0 m o l L^{- 1}$ respectively. The order of the reaction is _______ (Nearest Integer)

$t_{\frac{1}{2}} \propto \frac{1}{[ A _{0} ] ^{n - 1}}$
$[100] \propto \frac{1}{( 0.5 ) ^{n - 1}}$
$(50) \propto \frac{1}{( 1 ) ^{n - 1}}$
$[2]^{1} = [\frac{1}{0.5}]^{n - 1}$
$[2]^{1} = [2]^{n - 1}$
$n - 1 = 1$
$n = 2$ order $= 2$

Q. For a reaction A→2B+C the half lives are 100s and 50s when the concentration of reactant A is 0.5 and 1.0molL−1 respectively. The order of the reaction is _______ (Nearest Integer)

t21​​∝[A0​]n−11​ [100]∝(0.5)n−11​ (50)∝(1)n−11​ [2]1=[0.51​]n−1 [2]1=[2]n−1 n−1=1 n=2 order =2

Q. For a reaction $A \to 2 B + C$ the half lives are $100 s$ and $50 s$ when the concentration of reactant $A$ is $0.5$ and $1.0 m o l L^{- 1}$ respectively. The order of the reaction is _______ (Nearest Integer)

$t_{\frac{1}{2}} \propto \frac{1}{[ A _{0} ] ^{n - 1}}$
$[100] \propto \frac{1}{( 0.5 ) ^{n - 1}}$
$(50) \propto \frac{1}{( 1 ) ^{n - 1}}$
$[2]^{1} = [\frac{1}{0.5}]^{n - 1}$
$[2]^{1} = [2]^{n - 1}$
$n - 1 = 1$
$n = 2$ order $= 2$