(B) The formula for half-life $(t_{1/2})$ of a first-order reaction or radioactive decay is given by:$t_{1/2} = \frac{0.693}{k}$Given $k = 2.31 \times

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(B) The formula for half-life $(t_{1/2})$ of a first-order reaction or radioactive decay is given by:$t_{1/2} = \frac{0.693}{k}$Given $k = 2.31 \times 10^{-4} \ yr^{-1}$.Substituting the value:$t_{1/2} = \frac{0.693}{2.31 \times 10^{-4}} = 0.3 \times 10^4 \ yrs$$t_{1/2} = 3.0 \times 10^3 \ yrs$.

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

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The half-life of $_6C^{14}$ if its decay constant $k$ or $\lambda$ is $2.31 \times 10^{-4} \ yr^{-1}$ is:

A
$2 \times 10^2 \ yrs$
B
$3 \times 10^3 \ yrs$
C
$3.5 \times 10^4 \ yrs$
D
$4 \times 10^3 \ yrs$

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Nuclear Chemistry

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Rate of decay and Half-life

In the case of a radioisotope,the value of $T_{1/2}$ and $\lambda$ are identical in magnitude. The value is

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The half-life of a radioactive substance is $120$ days. After $480$ days,the amount of $4 \ g$ of the substance remaining will be: (in $g$)

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$A$ sample of rock from the moon contains an equal number of atoms of uranium and lead ($t_{1/2}$ for $U = 4.5 \times 10^9$ years). The age of the rock would be:

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The half-life of the radio element $_{83}Bi^{210}$ is $5 \ days$. Starting with $20 \ g$ of this isotope,the amount remaining after $15 \ days$ is ......... $g$. (in $g$)

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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 half-life of $_6C^{14}$ if its decay constant $k$ or $\lambda$ is $2.31 \times 10^{-4} \ yr^{-1}$ is:

Similar Questions

In the case of a radioisotope,the value of $T_{1/2}$ and $\lambda$ are identical in magnitude. The value is

The half-life of a radioactive substance is $120$ days. After $480$ days,the amount of $4 \ g$ of the substance remaining will be: (in $g$)

$A$ sample of rock from the moon contains an equal number of atoms of uranium and lead ($t_{1/2}$ for $U = 4.5 \times 10^9$ years). The age of the rock would be:

The half-life of the radio element $_{83}Bi^{210}$ is $5 \ days$. Starting with $20 \ g$ of this isotope,the amount remaining after $15 \ days$ is ......... $g$. (in $g$)

$A$ 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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