Answer:
The molar mass of compound Q is 100 g/mol
Explanation:
Step 1: Data given
Mass of compound Q = 1.06 grams
Mass of water = 11.6 grams
Boiling point of the solution = 100.47 °C
Boiling point of water = 100.00 °C
Kb for water = 0.512 °C/m
Step 2: Calculate molality
ΔT = i*kb*m
⇒ with ΔT = the boiling point elevation = 0.47 °C
⇒ with i = the van't Hoff factor = 1
⇒ with kb = the boiling point elevation constant = 0.512 °C/m
⇒ with m = the molality = moles compound Q / mass water
m = ΔT / (i*Kb)
m = 0.47 / 0.512
m = 0.918 molal
Step 3: Calculate moles of Q
Molality = moles Q / mass H2O
moles Q = 0.918 molal * 0.0116 kg
moles Q = 0.0106 moles
Step 4: Calculate molar mass
Molar mass Q = mass Q / moles Q
Molar mass Q = 1.06 grams / 0.0106 moles
Molar mass Q = 100 g/mol
The molar mass of compound Q is 100 g/mol
