The density of gas at 27°C and 1 atm is d. Pressure remaining constant at which of the following temp will its density become 0.75d?

Options

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

Answer

C

Explanation

`d_(1) = d , d_(2) = 0.75 d , P_(1) = 1` atm , `T_(1) = 27^@)C = 300 K , P_(2) = 1` atm `T_(2) = ?`
`((d_(1))/(d_(2))) = (P_(1) xx T_(2))/(T_(1) xx P_(2)) or (T_(2))/(T_(1)) therefore T_(2) = (d_(1))/(d_(2)) xx T_(1) = (d)/(0.75 d) xx 300 = 400 K`