An ideal gas is initially at temperature T and volume V. Its volume is increased by `DeltaV` due to an increase in temperature `DeltaT,` pressure remaining constant. The quantity `delta=(DeltaV)/(VDeltaT)` varies with temperature as

Options

A.
B.
C.
D.

Answer

C

Explanation

`PV=RT implies P Delta V=R Delta T`
`implies (Delta V)/(V)=(DeltaT)/(T) implies (Delta V)/(V Delta T)=1/T= delta`
`delta =1/T`. (Rectangular hyperbola)