# What is the mass of 7.2 moles of titanium to the nearest tenth?

Aug 17, 2016

$\text{344.6 g}$

#### Explanation:

The first thing to do here is to figure out the mass of one mole of titanium, $\text{Ti}$.

To do that, grab a periodic table and look for titanium. You'll find this metal located in period 4, group 4. Notice that titanium has a molar mass equal to ${\text{47.867 g mol}}^{- 1}$, which means that one mole of titanium has a mass of $\text{47.867 g}$.

Now that you know the mass of one mole of titanium, you can calculate the mass of $7.2$ moles by using the metal's molar mass as a conversion factor

7.2 color(red)(cancel(color(black)("moles Ti"))) * "47.867 g"/(1color(red)(cancel(color(black)("mole Ti")))) = "344.6424 g"

The last thing to do here is round this off to the nearest tenth, which means leaving the answer rounded to one decimal place

$\textcolor{g r e e n}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{\text{mass of 7.2 moles Ti " = " 344.6 g}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$