First part)
36.2% by mass means:
36.2 g of solute ------- 100 g of solution
Second part)
We want to know how many moles are present in 3.644 kg of solutions.
3.644 kg = 3644 g of solution
Now,
36.2 g of solute -------- 100 g of solution
x --------- 3644 g of solution
x = 1319 g of solute = 1320 g (3 significant figures)
Therefore 1320 g are diluted in 3644 g
Third part)
Number of moles = mass /molar mass
Number of moles = 1320 g of solute/ 89.6 g/mol of solute= 14.7 moles
Answer: 14.7 moles of solute