Given:
Mass of water = 375g
Concentration of solution = 2.75%

To Find:
Mass of sucrose to be added

Solution:
To calculate the mass of sucrose to be added, we need to first understand what the concentration of the solution means. The concentration of a solution is the amount of solute (in this case, sucrose) present in a given amount of solvent (in this case, water). It is usually expressed as a percentage of the mass of the solution.

Step 1: Calculate the mass of the solution
The mass of the solution is the sum of the mass of the solute (sucrose) and the mass of the solvent (water).

Mass of solution = Mass of sucrose + Mass of water

Since we are given the mass of water as 375g, we can calculate the mass of the solution as follows:

Mass of solution = Mass of sucrose + 375g

Step 2: Calculate the mass of sucrose
The concentration of the solution is given as 2.75%. This means that the mass of sucrose is 2.75% of the mass of the solution.

Mass of sucrose = 2.75% of Mass of solution

Substituting the value of mass of solution from Step 1, we get:

Mass of sucrose = 2.75% of (Mass of sucrose + 375g)

Step 3: Solve for the mass of sucrose
To solve for the mass of sucrose, we can set up an equation and solve for it.

Mass of sucrose = (2.75/100) * (Mass of sucrose + 375g)

Let's simplify this equation:

Mass of sucrose = (11/400) * (Mass of sucrose + 375g)

Multiplying both sides of the equation by 400 to eliminate the fraction:

400 * Mass of sucrose = 11 * (Mass of sucrose + 375g)

400 * Mass of sucrose = 11 * Mass of sucrose + 11 * 375g

400 * Mass of sucrose - 11 * Mass of sucrose = 11 * 375g

389 * Mass of sucrose = 11 * 375g

Mass of sucrose = (11 * 375g) / 389

Step 4: Calculate the mass of sucrose
Simplifying the equation gives:

Mass of sucrose = 3375g / 389

Mass of sucrose ≈ 8.67g

Therefore, approximately 8.67 grams of sucrose must be added to 375g of water to prepare a 2.75% mass solution.

Answer is 10.3125