MHT CET · Chemistry · Chemical Kinetics
For a first order reaction, the half-life period is
- A dependent on the square of the initial concentration
- B dependent on first power of initial concentration
- C dependent on the square root of initial concentration
- D independent on initial concentration
Answer & Solution
Correct Answer
(D) independent on initial concentration
Step-by-step Solution
Detailed explanation
\(t_{1 / 2}=\frac{1}{(a)^{n-1}}\)
where, \(n=\) order of reaction \(a=\) initial concentration For first order reaction,
\(
\begin{aligned}
n &=1 \\
t_{1 / 2} &=\frac{1}{a^{1}-1} \\
a &=\frac{1}{a^{0}}=0
\end{aligned}
\)
Thus, for a first order reaction, \(t_{1 / 2}\) is independent on initial concentration.
where, \(n=\) order of reaction \(a=\) initial concentration For first order reaction,
\(
\begin{aligned}
n &=1 \\
t_{1 / 2} &=\frac{1}{a^{1}-1} \\
a &=\frac{1}{a^{0}}=0
\end{aligned}
\)
Thus, for a first order reaction, \(t_{1 / 2}\) is independent on initial concentration.
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