Which of the following graphs correctly represents the variation of beta = -((dV)/(dP))(1)/(V) with P for an ideal gas at constant temperature ?

Which of the following graphs correctly represents the variation of be

1.	Which of the following graphs correctly represents the variation of beta = -((dV)/(dP))(1)/(V) with P for an ideal gas at constant temperature ?
Answer» Solution :For an IDEAL gas, the DIFFERENTIAL form of gas law is `VdP + PdV = nRdT` At CONSTANT temperature dT = 0 `rArr VdP + PdV = 0` `PdV = -VdP` `(-dV)/(dP) = ((V)/(P))` or `-((dV)/(dP)) (1)/(V) = (1)/(P) rArr beta = (1)/(P)` `beta P` = constant HENCE the graph could be a rectangular HYPERBOLA as shown in (a).