`6xx10^(24)` atoms of an element weigh 200g. If this element form homodiatomic gas, then calculate the molar mass of gas.

Options

A. `40 g mol ^(-1)`
B. `30 g mol ^(-1)`
C. `50 g mol ^(-1)`
D. `60 g mol ^(-1)`

Answer

A

Explanation

Gas is homodiatomic, so mol mass `= 2 xx ` atomic mass and atomic mass `= (200)/(6 xx 10 ^(24)) xx 6. 02 xx 10 ^(23) = 20`
`therefore ` Mol , mass `= 2 xx ` gram atomic mass `= 40 g mol ^(-1)`