Volume of a gas at 27degree centigrade and 760mm pressure is 200cm cube then find the volume of same gas at -3degree centigrade and 760mm pressure

1 answer

Use the ideal gas equation:

PV = nRT
=> PV/T = nR

The amount of substance 'n' and the universal gas constant 'R' is the same in this case, hence, PV/T will remain constant:

=> (PV/T)1 = (PV/T)2

(Note that temperature must be taken in Kelvin)

=> (760*200)/(300) = (760*V2)/(270)
=> V2 = 270*(2/3)
= 180

Since the answer is obtained in the same units as V1, the volume is 180 cm cube