One litre of a gas weights 2 g at 300 K and 1 atm pressure. If the pressure is made 0.75 atm at which of the following temperature will one litre of the same gas weight one gram ?

Options

A. 450 K
B. 600 K
C. 800 K
D. 900 K

Answer

A

Explanation

`(P_(1)V_(1))/(P_(2)V_(2)) = (n_(1)RT_(1))/(nRT_(2)) = (W_(1)RT_(1))/(W_(2)RT_(2))`
`(1 xx 1)/(0.75 xx 1) = (2 xx 300)/(1 xx T_(2))`
`T_(2) = 2 xx 300 xx 0.75 = 450 K`