Answer:
The molar concentration is 0.0529 M
We have 0.0505 moles solute
The molar mass of the solute is 64.16 g/mol
Explanation:
Step 1: Data given
Mass of the nonelectrolyte solute = 3.24 grams
Volume of water = 955 mL
Temperature = 22 °C = 295 K
Osmotic pressure = 973 torr = 973 / 760 = 1.28026 atm
Step 2: Calculate mass water
Mass water = 955 mL * 1g/mL
Mass water = 955 grams = 0.955 kg
Step 3: Calculate the molar concentration
π = i*M*R*T
⇒with π = the osmotic pressure = 1.28026 atm
⇒with i = the van't Hoff factor = 1
⇒with M = the molar concentration
⇒with R = the gas constant = 0.08206 L*atm/mol*K
⇒with T = the temperature = 295 K
M = 1.28026 / (0.08206*295)
M = 0.0529 M
Step 4: Calculate moles solute
Molar concentration = moles / volume
Moles solute = Molar concentration * volume
Moles solute = 0.0529 M * 0.955 L
Moles solute = 0.0505 moles
Step 5: Calculate molar mass
Molar mass = mass / moles
Molar mass = 3.24 grams / 0.0505 moles
Molar mass = 64.16 g/mol
The molar concentration is 0.0529 M
We have 0.0505 moles solute
The molar mass of the solute is 64.16 g/mol
