What volume of a 0.500 M solution of sucrose (342.3 g/mol) contains 22.4 g of sucrose?

Question

What volume of a 0.500 M solution of sucrose (342.3 g/mol) contains 22.4 g of sucrose?

Answer 1

Let's first convert 22.4 g sucrose to moles of sucrose.

Molar mass sucrose = 342 g/mol

22.4 g x 1 mol/342 g = 0.0655 moles sucrose

Now, we know that, by definition, we have 0.500 moles sucrose in 1 liter of solution. So, how many liters will it take to give us 0.0655 moles of sucrose.

0.500 moles/L (x L) = 0.0655 moles

x = 0.131 L = 131 mls