Which of the following graphs correctly represents the variation of `beta= -((dV)/(dP))//V` with `P` for an ideal gas at constant temperature

Options

A.
B.
C.
D. None of these

Answer

A

Explanation

From `PV = Rt , dV.P + V.dP = 0`
or `((dV)/(dP)) = -(V)/(P)`
or `beta = ((-dV)/(dP))_(T)//V = (1)/(2)`
Thus plot of `beta` vs `P` given `(A)`