Final answer:
To find the volume of the solution, we need to use the concept of molarity. In this case, we have 4g of sucrose and a molarity of 2.5. By calculating the number of moles of sucrose and rearranging the formula for molarity, we can find that the volume of solution made is 0.00467 liters (or 4.67 milliliters).
Step-by-step explanation:
To find the volume of the solution, we need to use the concept of molarity. Molarity is defined as the number of moles of solute per liter of solution. In this case, we have 4g of sucrose, which is our solute, and we want to find the volume of the solution.
To do this, we first need to calculate the number of moles of sucrose. The molar mass of sucrose (C12H22O11) is approximately 342.3 g/mol. So, for 4g of sucrose, the number of moles would be:
4g / 342.3 g/mol = 0.01167 mol
Now we can use the formula for molarity:
Molarity (M) = moles of solute / volume of solution (in liters)
In this case, we know the molarity is 2.5 and the moles of solute is 0.01167. We can rearrange the formula to solve for the volume of solution:
Volume of solution (in liters) = moles of solute / molarity = 0.01167 mol / 2.5 = 0.00467 L
Therefore, the volume of solution you made is 0.00467 liters (or 4.67 milliliters).