How many grams of sucrose (molecular weight = 342.3 g/mol) would you dissolve in 350 ml to get a 7% solution?

.07=masssugar/(350+masssugar)

can you solve for the mass of sugar?

To calculate the number of grams of sucrose needed to dissolve in 350 ml to get a 7% solution, you'll need to follow a few steps:

Step 1: Convert the volume from milliliters (ml) to liters (L).
Since 1 L is equal to 1000 ml, divide the volume (350 ml) by 1000 to convert it to liters.
350 ml ÷ 1000 = 0.35 L

Step 2: Calculate the mass of the solution needed using the formula:
Mass of Solution = Volume of Solution × Concentration

In this case, the concentration is given as 7%, so it can also be expressed as 7 grams per 100 ml (7 g/100 ml). We need to find the mass of sucrose needed, so set up a proportion:

7 g/100 ml = "x" g/0.35 L

Cross multiply:
7 g × 0.35 L = 100 ml × "x" g

2.45g L = 100 ml × "x" g

Divide both sides by 100 ml:
2.45 g L / 100 ml = "x" g

x ≈ 0.0245 g/ml

Step 3: Calculate the mass of sucrose needed by multiplying the mass concentration by the volume.
Mass of Sucrose = Mass of Solution × Concentration

Mass of Sucrose = 0.0245 g/ml × 350 ml

Mass of Sucrose ≈ 8.57 grams

Therefore, you would need to dissolve approximately 8.57 grams of sucrose in 350 ml to obtain a 7% solution.