If the pressure and absolute temperature of 2 litres of `CO_(2)` are doubled the volume of `CO_(2)` would become

Options

A. 2 litres
B. 4 litres
C. 5 litres
D. 7 litres

Answer

A

Explanation

`V prop T//P`
Given `P_2 = 2P_1 : T_2 = 2T_1`
`(P_1V_1)/(T_1) = (P_2V_2)/(T_2) implies (P_1(2))/(T_1) = ((2P_1)(V_2))/(2T_1)`
`V_2 = 2` litre
So no change in volume i.e. 2 litres.