If the absolute temperature of an ideal gas become double and pressure become half , the volume of gas would be

Options

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

Answer

B

Explanation

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