If 224 ml of a triatomic gas has a mass of 1 g at N.T.P., then the mass of one atom is :

Options

A. `9.3 xx 10^(-23) g `
B. `2.08 xx 10^(-23) g`
C. `5.53 xx 10^(-23) g `
D. `9.62 xx 10^(-23) g `

Answer

C

Explanation

224 ml of gas weigh = 1g
22400 ml of gas weigh
` = (1)/(224) xx 22400 = 100 g `
` therefore ` molecular mass of gas = 100
mass of one molecule ` = (100)/(6.02 xx 10^23)`
mass of atom ` = (100)/(6.02 xx 10^23) xx 1/3 ` (triatomic gas)
= `5.53 xx 10^(-23) g `