Question

aluminum has a density of 2.70 g/ml. calculate the mass (in grams) of a piece of aluminum having a volume of 364 ml. express your answer to three significant figures.

Explanation:

Step1: Recall density - mass - volume formula

The formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume. We can re - arrange it to solve for mass: $m =
ho\times V$.

Step2: Substitute given values

Given $
ho = 2.70\ g/mL$ and $V=364\ mL$. Then $m=(2.70\ g/mL)\times(364\ mL)$.

Step3: Calculate the mass

$m = 2.70\times364=982.8\ g$.

Step4: Round to three significant figures

Rounding $982.8\ g$ to three significant figures gives $983\ g$.

Answer:

$983$