Chapter A.8, Problem 41AYU

To determine

To find: How much water must be evaporated to make desired salt solution.

Answer to Problem 41AYU

  $10.67$ ounces of water must me evaporated to make $6\%$ salt solution.

Explanation of Solution

Given information:

Water is evaporated from $32$ ounces of a $4\%$ salt solution to make a $6\%$ salt solution.

Calculation:

As per the given information −

Water is evaporated from $32$ ounces of a $4\%$ salt solution to make a $6\%$ salt solution.

Let us suppose $x$ ounces of water is evaporated to make desired salt solution.

Amount of salt in $32$ ounces of a $4\%$ salt solution $=32\times 4\%=1.28$ ounce.

Amount of salt in $(32-x)$ ounces of $6\%$ salt solution $=(32-x)\times 6\%$ .

Amount of salt remains same.

  $\begin{array}{l}\text{i}\text{.e}\text{. }1.28=(32-x)\times \frac{6}{100}\\ \Rightarrow 128=192-6x\\ \Rightarrow 6x=64\\ \Rightarrow x=\frac{64}{6}\\ \Rightarrow x=10.667\end{array}$

Hence, $10.67$ ounces of water must me evaporated to make $6\%$ salt solution.