Q58. - Algebra 2

Question

One gram of water contains about  $3.34\times {10}^{22}$ molecules. About how many molecules are in 500 grams of water?

Step-by-Step Solution

Answer

500 grams of water contain about $1.67\times {10}^{25}$  molecules.

Step 1. Write down the given information.

One gram of water contains $3.34\times {10}^{22}$  molecules.

Step 2. Evaluating molecules in 500 grams of water.

The molecules in 500 grams of water are evaluated as: $500\times 3.34\times {10}^{22}$ .

Therefore, evaluating product,

$\begin{array}{c}500\times 3.34\times {10}^{22}=5\times {10}^2\times 3.34\times {10}^{22}\\ =1.67\times {10}^{25}\text{ molecules.}\end{array}$

Step 3. Conclusion.

500 grams of water contain about  $1.67\times {10}^{25}$ molecules.