What volume of distilled water should be added to 400 \(cm ^{3}\) of \(2.0 moldm ^{-3}\) solution to obtain \(0.20\) moldm \(^{-3}\) solution?
A. \(60 cm ^{3}\) B. \(1500 cm ^{3}\) C. \(3600 cm ^{3}\) D. \(4000 cm ^{3}\)
Correct Answer: C
Explanation
using dilution law: \begin{aligned} & C _{1} V _{1}= C _{2} V _{2} \\ &2 M \times 400 cm ^{3}=0.2 M \times V _{2} \\ & V _{2}=\frac{2 M \times 400 cm ^{3}}{4000 cm ^{3}} \end{aligned} Volume of water to be added \(=V_{2}-V_{1}\) \begin{aligned} &=4000 cm ^{3}-400 cm ^{3} \\ &=3600 cm ^{3} \end{aligned}