Question

Question #876a6

Answer 1

The formula is `"XY"_2"ZX"_4`.

Explanation:

We must determine the relative number of moles of each element.

`"Moles of x" = "0.025 mol"`

`"Moles of Y" = 3.0 × 10^22 color(red)(cancel(color(black)("atoms"))) × "1 mol"/(6.022 × 10^23 color(red)(cancel(color(black)("atoms")))) = "0.050 mol"`

`"Moles of Z" = 3.2 color(red)(cancel(color(black)("g"))) × "1 mol"/(32 color(red)(cancel(color(black)("g")))) = "0.10 mol"`

Now, we find the molar ratio of `"X:Y:Z"`.

We divide each number of moles by the smallest number (`"0.025 mol"`) and convert them to integers.

`"X:Y:Z" = 0.025/0.025:0.050/0.025:0.10/0.025 = 1:2.0:4.0 ≈ 1:2:4`

The molecular formula is `"XY"_2"Z"_4.`