Answer:
We need 64.2 grams of sucrose
Explanation:
Step 1: Data given
Mass of water = 520 grams = 0.520 kg
Osmotic pressure = 8.15 atm
Temperature = 275 K
Step 2: Calculate molar concentration
Osmotic pressure can be defined as followed:
π = i*M*R*T
⇒π = the osmotic pressure = 8.15 atm
⇒i = the van't Hoff factor of sucrose = 1
⇒M = the molar concentration
⇒ R = the gas constant = 0.08206 L*atm/mol*K
⇒ T = the temperature = 275 K
M = 0.361 M
Step 3: Calculate volume of water
Volume = mass / density
Volume = 520 grams / 1g/mL
Volume = 520 mL
Step 4: Calculate moles of sucrose
Moles sucrose = molar concentration * volume
Moles sucrose = 0.361 M * 0.520 L
Moles sucrose = 0.1877 moles
Step 5: Calculate mass of sucrose
Mass of sucrose = moles sucrose * molar mass sucrose
Mass sucrose = 0.1877 moles * 342.3 g/mol
Mass sucrose = 64.2 grams
We need 64.2 grams of sucrose
