# What is the mass of 2.25 moles of sulfuric acid?

Jul 20, 2016

$\text{221 g}$

#### Explanation:

A useful piece of information to have when looking for the mass of $2.25$ moles of sulfuric acid, ${\text{H"_2"SO}}_{4}$, is the mass of $1$ mole of the compound.

Once you know the mass of $1$ mole, you can use it as a conversion factor to find the mass you're looking for.

So, the mass of $1$ mole of a compound is given by that compound's molar mass. Sulfuric acid has a molar mass of

M_("M H"_2"SO"_4) = "98.08 g mol"^(-1)

This implies that every mole of sulfuric acid has a mass of $\text{98.08 g}$. In your case, the mass of $2.25$ moles would be equal to

2.25 color(red)(cancel(color(black)("moles H"_2"SO"_4))) * overbrace("98.08 g"/(1color(red)(cancel(color(black)("mole H"_2"SO"_4)))))^(color(blue)("molar mass of H"_2"SO"_4)) = color(green)(|bar(ul(color(white)(a/a)color(black)("221 g")color(white)(a/a)|)))

The answer is rounded to three sig figs.