Density of a gas is found to be `5.46//dm^(3)` at `27^(@)C` at 2 bar pressure What will be its density at `STP` ? .

Options

A. ` 3.0 g dm^(-3)`
B. `5.0 g dm^(-3)`
C. `6.0 g dm^(-3)`
D. `10.82 g dm^(-3)`

Answer

A

Explanation

`d=(PM)/(RT)` or `d prop (P)/(T)`
`(d_(1))/(d_(2))=(P_(1))/(P_(2))xx(T_(2))/(T_(1))` or `d_(2)=(d_(1)xxP_(2)xxT_(1))/(P_(1)xxT_(2))`
`d_(2)=(5.46xx1xx300)/(2xx273)=3.0 g dm^(-3)`