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QUESTION

# How to calculate the mass ratio of zinc to iodine in zinc iodide ?

The mass ratio of zinc to iodine is 1 to 3.882.

The mass ratio of two in a compound is the mass of one element in a given amount of the compound divided by the mass of the other element.

Let's calculate the mass of "Zn" in 1 mol "ZnI"_2.

"Mass of Zn" = 1 color(red)(cancel(color(black)("mol ZnI"_2))) × (1 color(red)(cancel(color(black)("mol Zn"))))/(1 color(red)(cancel(color(black)("mol ZnI"_2)))) × (65.38 "g Zn")/(1 color(red)(cancel(color(black)("mol Zn")))) = "65.38 g Zn"

Also, the mass of "I" in 1 mol of "ZnI"_2 is

"Mass of I" = 1 color(red)(cancel(color(black)("mol ZnI"_2))) × (2 color(red)(cancel(color(black)("mol I"))))/(1 color(red)(cancel(color(black)("mol ZnI"_2)))) × (126.9 "g I")/(1 color(red)(cancel(color(black)("mol I")))) = "253.8 g I"

∴"Mass of Zn"/"Mass of I" = "65.38 g"/"253.8 g"

To get the ratio in its smallest terms, we divide the numerator and the denominator by the smaller number ("65.38 g").

Then

"Mass of Zn"/"Mass of I" = 1/3.882