(A) For a first-order reaction,the number of half-lives $(n)$ is calculated as $n = \frac{t}{t_{1/2}}$. Given $t = 96 \ \text{hours}$ and $t_{1/2} =

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(A) For a first-order reaction,the number of half-lives $(n)$ is calculated as $n = \frac{t}{t_{1/2}}$. Given $t = 96 \ \text{hours}$ and $t_{1/2} = 24 \ \text{hours}$,we have $n = \frac{96}{24} = 4$. The amount remaining after $n$ half-lives is given by the formula $N = N_0 \times (\frac{1}{2})^n$. Substituting the values,$N = 10 \ g \times (\frac{1}{2})^4 = 10 \times \frac{1}{16} = 0.625 \ g$. Thus,the amount of $N_2O_5$ remaining after $96 \ \text{hours}$ is $0.625 \ g$.

Class 12 Chemistry Chemical Kinetics First Order reaction

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For the first-order reaction $N_2O_5 \to 2NO_2 + \frac{1}{2}O_2$,the half-life at $30 \ ^\circ C$ is $24 \ \text{hours}$. Starting with $10 \ g$ of $N_2O_5$,how many grams of $N_2O_5$ will remain after $96 \ \text{hours}$ (in $g$)?

A
$0.625$
B
$0.63$
C
$1.77$
D
$0.5$

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Chemical Kinetics

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First Order reaction

In a first order reaction,the concentration of the reactant decreases from $20 \ mmol$ to $10 \ mmol$ in $1.151 \ min$. What is the rate constant (in $min^{-1}$)?

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The rate constant $k = 2.303 \ min^{-1}$ for a particular reaction,and the initial concentration of the reactant is $1 \ mol/L$. What is the rate of reaction after $1 \ minute$?

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What is the value of the rate constant of a first-order reaction if the slope of the graph between $\log_{10} \frac{[A]_0}{[A]_t}$ ($y$-axis) and time ($x$-axis) is $1 \times 10^{-3}$?

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For the first order reaction $A \rightarrow B$,the rate constant is $0.25 \ s^{-1}$. If the concentration of $A$ is reduced to half,the value of the rate constant will be: (in $s^{-1}$)

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Regarding the half-life period of a first-order reaction,which one of the following statements is generally false?

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For the first-order reaction $N_2O_5 \to 2NO_2 + \frac{1}{2}O_2$,the half-life at $30 \ ^\circ C$ is $24 \ \text{hours}$. Starting with $10 \ g$ of $N_2O_5$,how many grams of $N_2O_5$ will remain after $96 \ \text{hours}$ (in $g$)?

Similar Questions

In a first order reaction,the concentration of the reactant decreases from $20 \ mmol$ to $10 \ mmol$ in $1.151 \ min$. What is the rate constant (in $min^{-1}$)?

The rate constant $k = 2.303 \ min^{-1}$ for a particular reaction,and the initial concentration of the reactant is $1 \ mol/L$. What is the rate of reaction after $1 \ minute$?

What is the value of the rate constant of a first-order reaction if the slope of the graph between $\log_{10} \frac{[A]_0}{[A]_t}$ ($y$-axis) and time ($x$-axis) is $1 \times 10^{-3}$?

For the first order reaction $A \rightarrow B$,the rate constant is $0.25 \ s^{-1}$. If the concentration of $A$ is reduced to half,the value of the rate constant will be: (in $s^{-1}$)

Regarding the half-life period of a first-order reaction,which one of the following statements is generally false?

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