XCl3 contains 67.2% chlorine by mass. Calculate the molar mass of X and identity the element. ?

1 Answer
Oct 4, 2017

Element X has a molar mass of approximately 52 gmol1 and is chromium (Cr).

Explanation:

We can proceed as though we have one mole of XCl3.

The molar mass of chlorine is 35.5 gmol1, and 3 mol of Cl will therefore have a mass of 3×35.5=106.5 g.

To find the mass of one mole of XCl3, when this makes up 67.2%, we multiply by 10067.2:

106.5×(10067.2)=158.48

This is the molar mass of one mole of XCl3. To find the molar mass of X we subtract the mass of the chlorine:

158.48106.5=51.98

We need the element whose molar mass is closest to 52. Looking at a periodic table, we find that that is chromium (Cr).