Answer:
[NaNO₃] = 2.77 M
Explanation:
We need the solution's density to determine molarity, but we assume that the volume of water is the total volume of solution.
As the mass of water is 950 g, with the water's density we can obtained the volume (δ H₂O = 1g/mL) δ H₂O = H₂O mass / H₂O volume
1g/mL = 950 g / H₂O volume → H₂O volume = 950 g / 1g/mL = 950 mL
We need the volume in L, so we convert it: 950 mL . 1L/1000 mL = 0.950L
Molarity (mol/L) are the moles of solute in 1L of solution → moles / vol (L)
We have the volume, so let's go for the moles of solute (mass/molar mass)
Mass of solute 224g NaNO₃ → 224 g / 85 g/mol = 2.63 moles
Molarity → 2.63 moles /0.950L = 2.77 M