Question:

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be (log 2 = 0.301)

Updated On: Apr 15, 2024
  • 23.03 minutes
  • 46.06minutes
  • 460.6 minutes
  • 230.03 minutes
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The Correct Option is B

Solution and Explanation

For first order reaction,
$k=\frac{0.693}{t_{1 /2} }=\frac{0.693}{6.93}$
$k=\frac{2.303}{t} \, log\, \frac{100}{100-99}$
$\frac{0.693}{6.93}=\frac{2.303}{t} log\, \frac{100}{1}$
$\frac{0.693}{6.93}=\frac{2.303\times2}{t}$
t=46.06 min
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Concepts Used:

Kinetics Equations

It is branch of physics that defines motion with respect to space and time is known as kinematics. 

Inverse Kinematics: Inverse Kinematics do the reverse of kinematics.

There are four basic kinematics equations:

Rotational Kinematics Equations

Another branch of kinematics equations which deals with the rotational motion of anybody.