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## Homework Statement

Vapor density of a metal chloride is 66. Its oxide contains 53% metal. The atomic weight of the metal is ?

## Homework Equations

vapor density = 0.5 * molar mass

## The Attempt at a Solution

Using the above formula, I found the molar mass of the metal chloride as 132. I am stuck here, as the problem talks about the oxide containing 53% metal.

In 100 g of Metal oxide, 47% is oxygen, i.e. roughly the weight of three oxygen atoms which is 48. The Formula is therefore M2O3 ? Does this mean that this metal is hexa valent? This doesn't seem right, because the mol wt of chlorine is 35.5 and six chlorine atoms would weigh 213 g whereas the sample is only 132 g.

The choices for answer are 21, 54, 27.06 and 2.7.

Logically I think the answer should be 54, as this would correspond to cobalt while the rest are not metals.

Can anybody please explain how the answer is to be arrived at?