(A) The correct option is $A$. For a first-order reaction,the half-life period is given by the formula $t_{1/2} = \frac{\ln(2)}{k} = \frac{0.693}{k}$.

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Half-life period $= \text{constant} / k$,where $k$ is the decay constant

(A) The correct option is $A$. For a first-order reaction,the half-life period is given by the formula $t_{1/2} = \frac{\ln(2)}{k} = \frac{0.693}{k}$. Thus,$t_{1/2} = \text{constant} \times k^{-1}$.

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

Medium

The decay of a radioactive element follows first-order kinetics. As a result:

A
Half-life period $= \text{constant} / k$,where $k$ is the decay constant
B
Rate of decay is independent of temperature
C
Rate can be changed by changing chemical conditions
D
The element will be completely transformed into a new element after the expiry of two half-life periods

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Rate of decay and Half-life

The decay constant of $Ra^{226}$ is $1.37 \times 10^{-11} \ s^{-1}$. $A$ sample of $Ra^{226}$ having an activity of $1.5 \ mCi$ will contain ...... atoms.

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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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$A$ radioactive sample has a half-life of $1500 \ years$. $A$ sealed tube containing $1 \ g$ of the sample will contain after $3000 \ years$:

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The half-life period of a radioactive substance is $140 \ days$. After how much time will $15 \ g$ decay from a $16 \ g$ sample of it?

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$A$ radioactive isotope has a half-life of $20 \ days$. If $100 \ g$ of the substance is taken,the weight of the isotope remaining after $40 \ days$ is ......... $g$.

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The decay of a radioactive element follows first-order kinetics. As a result:

Similar Questions

The decay constant of $Ra^{226}$ is $1.37 \times 10^{-11} \ s^{-1}$. $A$ sample of $Ra^{226}$ having an activity of $1.5 \ mCi$ will contain ...... atoms.

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 $.0$)?

$A$ radioactive sample has a half-life of $1500 \ years$. $A$ sealed tube containing $1 \ g$ of the sample will contain after $3000 \ years$:

The half-life period of a radioactive substance is $140 \ days$. After how much time will $15 \ g$ decay from a $16 \ g$ sample of it?

$A$ radioactive isotope has a half-life of $20 \ days$. If $100 \ g$ of the substance is taken,the weight of the isotope remaining after $40 \ days$ is ......... $g$.

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