The density of a gas at `27^(@)C` and `1 atm` is `d`. Pressure remaining constant, at which of the following temperture will its density become `0.75 d`?

Options

A. `20^(@)` C
B. `30^(@)`C
C. 400 K
D. 300 K

Answer

C

Explanation

`V prop T, (M)/(d) prop T [because d=(M)/(V)]`
`T_(1)/(T_(2))=d_(2)/d_(1), 300/T_(2)=(0.75d)/(d)`
`T_(2)=400K`