Question

A solution _______ $\%$ by mass of solvent is $16.67\%$ by mass of solution. Write the value in the form of $x\times 10$, where $x$ is:

Answer 1

Let,

Mass of solvent $=100$ g

Mass of solute $=x$ g

The percentage by mass of solution will be $\frac{\text{mass of solute}}{\text{mass of solution}}\times 100=\frac{x}{100+x}\times 100=16.67$%.

$\Rightarrow x=20$ g

Percentage mass by solvent $=\frac{\text{mass of solute}}{\text{mass of solution}}\times 100=\frac{20}{100}\times 100=20$%

Value of $x=$ 2.