Question

The total volume in milliliters of a glucose-water solution is given by the equation below: V = 1001.93 + 111.5282m + 0.64698m2 where m is the molality of the solution. The partial molar volume of glucose ?glucose, is the slope of a V versus m curve, (?V/?m). Find the partial molar volume of glucose in a 0.100m solution of glucose in water

Answer 1

111.657596

Step-by-step explanation:

The expression of volume is given by

`V=1001.93+111.5282+0.64698m^2`

Partially differentiating the term we get

`(\partial V)/(\partial x)=(\partial (1001.93+111.5282+0.64698m^2))/(\partial x)\\\Rightarrow (\partial V)/(\partial x)=111.5282+2* 0.64698m\\\Rightarrow (\partial V)/(\partial x)=111.5282+1.29396m`

m = 0.100

`(\partial V)/(\partial x)=111.5282+1.29396* 0.100\\\Rightarrow (\partial V)/(\partial x)=111.657596`

The partial molar volume of glucose is 111.657596