Calculate the isothermal compressibility 'alpha' for an ideal gas `[alpha = - (1)/(V) ((deltaV)/(deltaV))_(T.n)]at P=1` bar and cubic
expansion coefficient `beta [beta = - (1)/(V) ((deltaP)/(deltaT))_(P.n)]"for an ideal "`
gas at `T =273 K` .

Explanation

Since `PV = Constant =K`
`V =(K)/(P)`
`:. ((delV)/(delP))_(T,n) = (delK//P)/(delP) = (K)/(P^(2)) = - (PV)/(P^(2)) = (V)/(P)`
`:. alpha = (1)/(V) ((delV)/(delP))_(T,n) =(1)/(P) = (1)/(1.0) =1b ar^(-1)`
(b) Since `V =KT`
`((delV)/(delT))_(P,n) = K =(V)/(T)`
or `beta = (1)/(V) ((delV)/(delT))_(P,T) = (1)/(T) = (1)/(273)`
` =3.66 xx 10^(-3) K^(-1)` .