Question

The total volume in milliliters of a glucose-water solution is given by the equation below: V = 1001.93 + 111.5282m + 0.64698m^2 where m is the molality of the solution. a. The partial molar volume of glucose, is? b. Find the partial molar volume of glucose in a 0.100m solution of glucose in water.

Answer 1

a. Vₐ = 111.5282 + 1.29396m

b. For m = 0.100m; Vₐ = 111.6576

Step-by-step explanation:

The partial molar volume of compound A in a mixture of A and B is defined as :

`V_a = (dV)/(dn_a)`

Where V is volume and n are moles of a.

a. As molality is proportional to moles of substance, partial molar volume of glucose can be defined as:

Vₐ = dV / dm = d(1001.93 + 111.5282m + 0.64698m²) / dm

Vₐ = 111.5282 + 1.29396m

b. Replacing for m = 0.100m:

Vₐ = 111.5282 + 1.29396×0.100

Vₐ = 111.6576

I hope it helps!