Question

Pure gold is marked as 24 carat while an alloy of gold is marked as 22 carat. What is the mass percentage, of gold in 22-carat gold?

Answer 1

Step 1:

Mass percent is otherwise known as weight percent. It is an expression of the ratios of the mass of the solute to the total mass of the solution.

Step 2:

It is given that pure gold is 24 carats. This means that the mass percent of gold in 24 carats is 100 percent.

The alloy of gold is 22 carat.

Step 3:

The mass percentage, of gold in 22-carat gold is evaluated using the unitary method.

The calculations are as follows:

$\begin{array}{rcl}24\mathrm{carat}& =& 100\%\\ 1\mathrm{carat}& =& \frac{100}{24}\\ \mathrm{So},22\mathrm{carat}& =& \frac{100}{24}\times 22\\ & =& 91.6\%\end{array}$

Thus, the mass percentage of gold in 22-carat gold is 91.6 %.