Q. A drop of a solution $(volume\ = 0.05\ mL)$ contains $6 \times 10^{- 7}\$mol of$\ H^{+}.$ If the rate of disappearance of $\ H^{+}$ is $6.0 \times 10^{5}\ mol/L \times s,$ how long will it take for $H^{+}$ to disappear from the drop

A) $8.0 \times 10^{- 8}\ s$
B) $2.0 \times 10^{- 8}\ s$
C) $6.0 \times 10^{- 6}\ s$
D) $2.0 \times 10^{- 2}\ s$
Explanation

(b)
$\left\lbrack H^{+} \right\rbrack = \frac{6 \times 10^{- 7}\ mol}{5 \times 10^{- 5}\ L} = 1.2 \times 10^{- 2}M$
$rate = \frac{dx}{dt}\ or\ dt = \frac{dx}{rate} = \frac{1.2 \times 10^{- 2}M}{6 \times 10^{5}\ M/s}$
$= 2 \times 10^{- 8}\ s$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.