how many grams of sucrose are needed to make 100 ml of a 10^-2 Molarity sucrose solution?

You want 0.02 M. How many moles do you need? That will be M x L = 0.02M x 0.100L = 0.002 moles.

Then moles = grams/molar mass
You know mole and molar mass, solve for grams.

To determine how many grams of sucrose are needed to make a 100 ml of a 10^-2 Molarity sucrose solution, you'll need to know the molar mass of sucrose and the equation relating molarity, volume, and moles.

Sucrose, also known as table sugar, has a molar mass of approximately 342.3 g/mol.

The equation relating molarity (M), volume (V), and moles (n) is:

M = n/V

Rearranging the equation to solve for n:

n = M * V

Now, substitute the given values into the equation:

M = 10^-2 Molarity
V = 100 ml (convert to liters by dividing by 1000) = 0.1 L

Plugging these values into the equation:

n = (10^-2) * 0.1
n = 10^-3 moles

Finally, convert moles to grams using the molar mass of sucrose:

Mass = n * molar mass
Mass = (10^-3) * 342.3 g/mol

Performing the calculation:

Mass = 0.3423 grams

Therefore, you would need 0.3423 grams of sucrose to make a 100 ml of a 10^-2 Molarity sucrose solution.