If density of a certain gas at `30^(@)C` and 768 Torr is `1.35kg//m^(3)`, then density at STP is

Options

A. `1.48kg//m^(3)`
B. `1.27kg//m^(3)`
C. `1.35kg//m^(3)`
D. `1.00kg//m^(3)`

Answer

A

Explanation

pV=nRT
`p=(n)/(V)RT=(w)/(mV)RT=(dRT)/(m)`
(where,`d=(w)/(V)`density in g `L^(-1)`
`d=(Pm)/(RT)`
`:." "d_(2)/d_(1)=(p_(2)m_(2)T_(1))/(p_(1)m_(1)T_(2))=(p_(2)T_(1))/(p_(1)T_(2))` (for a given gas)
`d_(2)=(1.35xx760xx303)/(768xx273)=1.48 kg//m^(3)`