Viscosity of solution = (Weight fraction of sugar * Viscosity of sugar) + (Weight fraction of water * Viscosity of water)
Given that the solution contains 60% sugar and 40% water, we can calculate the weight fractions as follows:
Weight fraction of sugar = 60% / 100% = 0.6
Weight fraction of water = 40% / 100% = 0.4
Now, we need to know the viscosities of pure sugar and pure water at a specific temperature. Assuming room temperature (25°C), the viscosities are approximately:
Viscosity of sugar (sucrose) at 25°C ≈ 1920 cP (centipoise)
Viscosity of water at 25°C ≈ 1.002 cP
Plugging these values into the formula:
Viscosity of solution = (0.6 * 1920 cP) + (0.4 * 1.002 cP)
= 1152 cP + 0.401 cP
= 1152.401 cP
Therefore, the viscosity of a 60 sugar and 40 water solution at room temperature is approximately 1152.401 cP.
