What mass of titanium can be made from 125 g of titanium(IV) chloride?

Answer 1

This is really a percent composition question in disguise - the goal is to determine what percent of titanium (iv) chloride is actually titanium.

Ti (iv) charge = +4

Cl charge = -1

So the chemical equation is

TiCl4

Let’s find the molar mass of the compound:

Ti molecular weight = 47.867 g/mol * 1 Ti atom =

47.867 g/mol

Cl molecular weight = 35.453 g/mol * 4 Cl atoms =

141.812 g/mol

Add together: molar mass TiCl4 = 189.679 g/mol

Next, we will find the percent mass of Ti in this molar mass:

% Ti = Ti molecular weight / total molar mass * 100%

%Ti = 47.867/189.679 * 100% = 25.235%

Interpretation: For every 100g of TiCl4, there are 25.235 grams of Ti in it. Finally, set up a proportion to find how many grams of Ti would be in 125 grams of TiCl4.

25.235 g Ti / 100 g TiCl4 = ? g Ti / 125 g TiCl4

Cross multiply to get rid of the denominators:

25.235 * 125 = 100 * ? g Ti

Divide by 100

25.235 * 125 / 100 = ? g Ti

= 31.5 g of Ti in 125 g of TiCl4