The density of a gas at `-23^(@)C` and 780 torr is 1.40 gram per litre.Which one of the following gases is it -

Options

A. `CO_(2)`
B. `SO_(2)`
C. `Cl_(2)`
D. `N_(2)`

Answer

D

Explanation

`PV = nRT`
`(780 )/( 760) xx 1 = n xx 0.082 xx (273 - 23) `
`n = ( 780 )/( 760 xx 0.082xx 250) `
`n =0.0501` moles
`0.0501` moles of the gas weight = 1.40 gm
`:.` 1 mole of gas weigh `= ( 1.40)/( 0.0501 ) = 28` gram.
So gas is `N_(2)`.