Answer:
34.23 g
Step-by-step explanation:
Molarity -
Molarity of a substance , is the number of moles present in a liter of solution .
M = n / V
M = molarity
V = volume of solution in liter ,
n = moles of solute ,
Moles is denoted by given mass divided by the molecular mass ,
Hence ,
n = w / m
n = moles ,
w = given mass ,
m = molecular mass .
From the question ,
M = 0.20 M
V = 500mL
Since,
1 L = 1000mL
1 mL = 0.001L
V = 500 mL = 0.5 L
Using the above formula moles can be calculated as -
M = n / V
0.20 M = n / 0.5 L
n = 0.1 mol
The mass of sucrose can be calculated as -
n = w / m
n = 0.1 mol
m ( for sucrose ) = 342.3 g/mol
0.1 mol = w / 342.3 g/mol
w = 34.23 g