If the absolute temperature of a gas is doubled and the pressure is reuced to one-half, the volume of the gas will `"____________"`

Options

A. Remain unchange
B. Will be double
C. Will be four time
D. will be half

Answer

C

Explanation

`P_(1) = P , V_(1) = V , T_(1) = T , P_(2) (P)/(2) , V_(2) = ? T_(2) = T `
According to gas equation
`(P_(1) V_(1))/(T_(1)) = (P_(2) V_(2))/(T_(2)) ` or `(PV)/(T) = (PV_(2))/(2T) " " therefore V_(2) = 4 V`