(D) The radioactive decay follows first-order kinetics. According to the law of radioactive decay,the amount of substance remaining after time $t$ is

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(D) The radioactive decay follows first-order kinetics. According to the law of radioactive decay,the amount of substance remaining after time $t$ is given by $N_t = N_0 \times (1/2)^{t/T_{1/2}}$. For the substance to decay completely,$N_t$ must be $0$. Mathematically,this occurs only as $t \to \infty$. Therefore,the time required for complete decay is infinite.

Class 12 Chemistry Nuclear Chemistry Rate of decay and Half-life

Difficult

For a radioactive substance with a half-life period of $500$ years,the time required for the complete decay of $100 \ mg$ of it would be:

A
$1000$ years
B
$100 \times 500$ years
C
$500$ years
D
Infinite time

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Nuclear Chemistry

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Rate of decay and Half-life

The half-life of a radioactive isotope is $3 \ hours$. If the initial mass of the isotope is $256 \ g$,how much mass in $g$ will remain after $18 \ hours$ (in $.0$)?

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What is the half-life period of a nucleus in $days$ if at the end of $4.2$ $days$,$N = 0.798 \ N_0$?

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$A$ substance of which $1 \ g$ is taken,after one half-life period,what fraction of it is left?

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$10 \ g$ of a radioactive element is disintegrated to $1 \ g$ in $2.303 \ \text{minutes}$. What is the half-life (in minutes) of that radioactive element?

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$A$ radioactive element with half-life $6.5 \ hr$ has $48 \times 10^{19}$ atoms. Number of atoms left after $26 \ hr$ is:

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For a radioactive substance with a half-life period of $500$ years,the time required for the complete decay of $100 \ mg$ of it would be:

Similar Questions

The half-life of a radioactive isotope is $3 \ hours$. If the initial mass of the isotope is $256 \ g$,how much mass in $g$ will remain after $18 \ hours$ (in $.0$)?

What is the half-life period of a nucleus in $days$ if at the end of $4.2$ $days$,$N = 0.798 \ N_0$?

$A$ substance of which $1 \ g$ is taken,after one half-life period,what fraction of it is left?

$10 \ g$ of a radioactive element is disintegrated to $1 \ g$ in $2.303 \ \text{minutes}$. What is the half-life (in minutes) of that radioactive element?

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