Here, mass of water(solvent) = volume x density = 200 x 0.996 = 199.2 gmMass of solute (glucose) = 11 gmSo, mass of solution = 199.2 + 11 = 210.2Mass %age of solute =( mass of solute / mass of solution) x 100So, mass %age of glucose = (11/210.2) x 100 = 5.2 %

Mass Percentage of Glucose in Solution

To determine the mass percentage of glucose in a solution, we need to consider the mass of glucose and the total mass of the solution.

Given Data:
- Mass of glucose (m1) = 11g
- Volume of water (V) = 200ml
- Temperature of the solution (T) = 30°C

Step 1: Calculate the density of water at 30°C
The density of water changes with temperature. We can use the formula:

Density of water at T°C = Density of water at 4°C / (1 + (T - 4) * 0.0002)

At 4°C, the density of water is 1g/ml. Plugging in the values, we can calculate the density of water at 30°C:

Density of water at 30°C = 1g/ml / (1 + (30 - 4) * 0.0002) = 0.9976g/ml

Step 2: Determine the mass of the solution
Mass of the solution = Mass of glucose + Mass of water

Mass of water = Volume of water * Density of water at 30°C

Mass of water = 200ml * 0.9976g/ml = 199.52g

Mass of the solution = 11g + 199.52g = 210.52g

Step 3: Calculate the mass percentage of glucose
Mass percentage of glucose = (Mass of glucose / Mass of the solution) * 100

Mass percentage of glucose = (11g / 210.52g) * 100 = 5.22%

Explanation:
The mass percentage of glucose in the solution is 5.22%. This means that for every 100g of the solution, 5.22g is glucose.

To calculate the mass percentage, we first determine the mass of the solution by adding the mass of glucose and the mass of water. The mass of water is calculated using the volume of water and the density of water at the given temperature.

Finally, we divide the mass of glucose by the mass of the solution and multiply by 100 to obtain the mass percentage of glucose in the solution.

Example:
Let's consider an example to understand this concept better.

If we have 100g of the solution, the mass of glucose in it would be 5.22g. Similarly, if we have 200g of the solution, the mass of glucose would be 10.44g. The mass percentage of glucose remains constant regardless of the total mass of the solution.