(A) For a first-order reaction,the integrated rate equation is given by: $\ln(P_t) = \ln(P_0) - kt$. Converting this to base $10$ logarithm: $\log(P_t

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$\log(P_{N_2O_5})$ versus time with a negative slope

(A) For a first-order reaction,the integrated rate equation is given by: $\ln(P_t) = \ln(P_0) - kt$. Converting this to base $10$ logarithm: $\log(P_t) = \log(P_0) - \frac{kt}{2.303}$. Comparing this with the equation of a straight line $y = mx + c$,where $y = \log(P_t)$,$x = t$,$m = -\frac{k}{2.303}$ (slope),and $c = \log(P_0)$ (intercept). Thus,a plot of $\log(P_{N_2O_5})$ versus time $t$ yields a straight line with a negative slope.

Class 12 Chemistry Chemical Kinetics First Order reaction

Medium

For the reaction $2N_2O_{5(g)} \rightarrow 4NO_{2(g)} + O_{2(g)}$,which is a first-order reaction with respect to $N_2O_5$,which of the following plots gives a straight line?

A
$\log(P_{N_2O_5})$ versus time with a negative slope
B
$(P_{N_2O_5})^{-1}$ versus time
C
$P_{N_2O_5}$ versus time
D
$\log(P_{N_2O_5})$ versus time with a positive slope

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Chemical Kinetics

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First Order reaction

If $50\%$ of a reaction occurs in $100 \ s$ and $75\%$ of the reaction occurs in $200 \ s$,the order of this reaction is

DifficultJEE MAIN 2018

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The rate constant of a first order reaction is $1.15 \times 10^{-3} \ s^{-1}$. How long will $5 \ g$ of reactant take to reduce to $3 \ g$ (in $s$)?

MediumMHT CET 2025

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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 $A$?

Medium

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For a reaction,$X_{(g)} \to Y_{(g)} + Z_{(g)}$,the half-life period is $10 \ min$. In what period of time would the concentration of $X$ be reduced to $10 \%$ of its original concentration? $........... \ min$

Medium

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For a first-order reaction $A \rightarrow B$,if the rate constant is $k$ and the initial concentration of reactant $A$ is $0.5 \ M$,what is its half-life period?

Medium

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For the reaction $2N_2O_{5(g)} \rightarrow 4NO_{2(g)} + O_{2(g)}$,which is a first-order reaction with respect to $N_2O_5$,which of the following plots gives a straight line?

Similar Questions

If $50\%$ of a reaction occurs in $100 \ s$ and $75\%$ of the reaction occurs in $200 \ s$,the order of this reaction is

The rate constant of a first order reaction is $1.15 \times 10^{-3} \ s^{-1}$. How long will $5 \ g$ of reactant take to reduce to $3 \ g$ (in $s$)?

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 $A$?

For a reaction,$X_{(g)} \to Y_{(g)} + Z_{(g)}$,the half-life period is $10 \ min$. In what period of time would the concentration of $X$ be reduced to $10 \%$ of its original concentration? $........... \ min$

For a first-order reaction $A \rightarrow B$,if the rate constant is $k$ and the initial concentration of reactant $A$ is $0.5 \ M$,what is its half-life period?

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