Question

If $50$% of the reactant is converted into a product in a first order reaction in 25 minutes, how much of it would react in 100 minutes?

• A. $93.75$%
• B. $87.5$%
• C. $75$%
• D. $100$%

Answer 1

The correct option is A $93.75$%

According to first order reaction kinetics:

$K=\frac{ln2}{25}mi{n}^{-1}$

$[A{]}_t=[A{]}_o{e}^{-4ln2}$

$[A{]}_t=\frac{[A{]}_o}{2^4}=0.0625[A{]}_o$

Hence, the percentage will be $100-6.25=93.75$%.