Question 10.3: Suppose 2000 cm³ of an antifreeze solution consisting of 30 ...

Suppose 2000 cm³ of an antifreeze solution consisting of 30 mol-% methanol in water is needed. What volumes of pure methanol and pure water at 25°C must be mixed to form 2000 cm³ of antifreeze, also at 25°C? Partial molar volumes for methanol and water in a 30 mol-% methanol solution and their pure-species molar volumes, all at 25°C, are:

Methanol( 1) : \bar{V}_1=38.632 \mathrm{~cm}^3 \cdot \mathrm{mol}^{-1} \quad V_1=40.727 \mathrm{~cm}^3 \cdot \mathrm{mol}^{-1}

Water( 2) :       \bar{V}_2=17.765 \mathrm{~cm}^3 \cdot \mathrm{mol}^{-1} \quad V_2=18.068 \mathrm{~cm}^3 \cdot \mathrm{mol}^{-1}