(C) For a first-order reaction,the rate constant $K$ is given by:$K = \frac{2.303}{t} \log \frac{[R]_0}{[R]_t}$Given: $[R]_0 = 800 \ mol/dm^3$,$[R]_t

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$1.386 \times 10^{-4} \ s^{-1}$

(C) For a first-order reaction,the rate constant $K$ is given by:$K = \frac{2.303}{t} \log \frac{[R]_0}{[R]_t}$Given: $[R]_0 = 800 \ mol/dm^3$,$[R]_t = 50 \ mol/dm^3$,$t = 2 \times 10^4 \ s$.Substituting the values:$K = \frac{2.303}{2 \times 10^4} \log \frac{800}{50}$$K = \frac{2.303}{2 \times 10^4} \log(16)$Since $\log(16) = 1.2041$:$K = \frac{2.303 \times 1.2041}{2 \times 10^4} \approx 1.386 \times 10^{-4} \ s^{-1}$

Class 12 Chemistry Chemical Kinetics First Order reaction

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For a first-order reaction,the concentration decreases from $800 \ mol/dm^3$ to $50 \ mol/dm^3$ in $2 \times 10^4 \ s$. What is the rate constant of the reaction?

A
$2 \times 10^4 \ s^{-1}$
B
$3.45 \times 10^{-5} \ s^{-1}$
C
$1.386 \times 10^{-4} \ s^{-1}$
D
$2 \times 10^{-4} \ s^{-1}$

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Chemical Kinetics

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First Order reaction

$A$ particular reaction has a rate constant $1.15 \times 10^{-3} \,s^{-1}$. How long does it take for $6 \,g$ of the reactant to reduce to $3 \,g$ (in $\,s$)? $(\log 2 = 0.301)$

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The half-life for radioactive decay of $^{14}C$ is $5730$ years. An archaeological artifact containing wood had only $80 \%$ of the $^{14}C$ found in a living tree. Estimate the age of the sample.

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The time of half change of a first order reaction is ....... initial concentration.

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$A$ first order reaction is $10 \%$ completed in $20 \, \text{minutes}$. What will be the time for $19 \%$ completion of the reaction? (in $\text{min}$)

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For the reaction $2A + B \to \text{product}$,the rate law is given by $\frac{-d[A]}{dt} = k[A]$. At a time $t = \frac{t_{1/2}}{\ln 2}$,what is the concentration of the reactant $A$?

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For a first-order reaction,the concentration decreases from $800 \ mol/dm^3$ to $50 \ mol/dm^3$ in $2 \times 10^4 \ s$. What is the rate constant of the reaction?

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$A$ particular reaction has a rate constant $1.15 \times 10^{-3} \,s^{-1}$. How long does it take for $6 \,g$ of the reactant to reduce to $3 \,g$ (in $\,s$)? $(\log 2 = 0.301)$

The half-life for radioactive decay of $^{14}C$ is $5730$ years. An archaeological artifact containing wood had only $80 \%$ of the $^{14}C$ found in a living tree. Estimate the age of the sample.

The time of half change of a first order reaction is ....... initial concentration.

$A$ first order reaction is $10 \%$ completed in $20 \, \text{minutes}$. What will be the time for $19 \%$ completion of the reaction? (in $\text{min}$)

For the reaction $2A + B \to \text{product}$,the rate law is given by $\frac{-d[A]}{dt} = k[A]$. At a time $t = \frac{t_{1/2}}{\ln 2}$,what is the concentration of the reactant $A$?

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