what is the mass of 0.513 mol al₂o₃? give your answer to the correct number of significant figures. (molar…

Answer:

52.3 g

Explanation:

Step1: Recall the mass - mole relationship formula

$m = n\times M$ where $m$ is mass, $n$ is number of moles, and $M$ is molar mass.

Step2: Substitute the given values

$n = 0.513\ mol$, $M=102.0\ g/mol$ $m=0.513\ mol\times102.0\ g/mol$

Step3: Calculate the mass

$m = 0.513\times102.0=52.326\ g$

Step4: Round to the correct number of significant figures

Since 0.513 has 3 significant figures and 102.0 has 4 significant figures, the result should be rounded to 3 significant figures. So $m = 52.3\ g$