One mole of component `P` and two moles of component `Q` are mixed at `27^(@)C` to form an ideal binary solution. Select the correct option for given information?

Options

A. `DeltaS_("mix")=3.82"cal"k^(-1)`
B. `DeltaH_("mix")=0`
C. `DeltaS_("mix")=0`
D. `DeltaG_("max")=-1145.7` cal

Answer

A, B, D

Explanation

`DeltaG_("mix")=RT(n_(A) l n chi_(A)+n_(B)ln chi_(B))`
`=2xx300(1 ln 1/3 + 2 ln 2/3)`
`DeltaG_("mix")=600(-1.0986-0.8019)=-1145.7` cal
`DeltaS_("mix")=-(DeltaG_("mix"))/T=3.82calk^(-1)`
`=DeltaH_("mix")=0`