Calculate the osmotic pressure of a 5.5M glucose solution at 20 degrees Celsius

The osmotic pressure is a colligative property which depends upon the number of molecules and not the type of molecules

The relation between osmotic pressure and concentration is

πV = nRT

where

π = Osmotic pressure [ unit atm] = ?

V = volume

n = moles

R = gas constant = 0.0821 L atm / mol K

T = temperature = 20°C = 20 + 273.15 K = 293.15 K

also

Molarity = moles / Volume

So

Molarity = n/V = 5.5 M

Putting values

π = MRT

π = 5.5 X 0.0821 X 293.15 = 132.37 atm

Osmotic pressure of given glucose solution will be 132.37 atm