If the partial molar volumes of the two components of a binary solution are va 30 m2/mol and vg 20 m3/mol and the mole fraction of component a is 0.4, find the molar volume of the solution.

Answer : The molar volume of the solution is,

Explanation : Given,

Partial molar volumes of component A =

Partial molar volumes of component B =

Mole fraction of component A = 0.4

First we have to calculate the mole fraction of component B.

As we know that,

Now we have to calculate the molar volume of the solution.

Expression used :

where,

= partial molar volumes of component A

= partial molar volumes of component B

=  molar volume of the solution

= mole fraction of of component A

= mole fraction of of component B

Now put all the give values in the above expression, we get:

Therefore, the molar volume of the solution is,

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sio2 (quartz)

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