Using molarity and molality to described the solution. Make a solution

Calculate the percent concentration of 2.78g NaHCO3 dissolve in enough water to make 200.0ml of solution ?

To describe the solution, we need to calculate the molarity and molality first.

Molarity = moles of solute / liters of solution

First, we need to calculate the moles of NaHCO3:

molar mass of NaHCO3 = 23.0 + 1.0 + 12.0 + (3.0 x 16.0) = 84.0 g/mol

moles of NaHCO3 = (2.78 g) / (84.0 g/mol) = 0.0331 mol

Now, we need to calculate the liters of solution:

200.0 ml = 0.2 L

Molarity = 0.0331 mol / 0.2 L = 0.1655 M

Molality = moles of solute / mass of solvent (in kg)

Assuming the density of water is 1.00 g/mL, the mass of solvent in kg is:

mass of solvent = volume of solvent x density = 200.0 mL x 1.00 g/mL = 0.200 kg

Molality = 0.0331 mol / 0.200 kg = 0.1655 m

To calculate the percent concentration, we need to divide the mass of solute by the total mass of the solution and multiply by 100:

percent concentration = (mass of solute / total mass) x 100

mass of solute = 2.78 g

total mass = 200.0 mL x 1.00 g/mL + 2.78 g = 202.78 g

percent concentration = (2.78 g / 202.78 g) x 100 = 1.37%