Calculate the osmotic pressure 5% glucose Sol. At 298 kelvin?
To calculate the osmotic pressure of a solution, you need to use the formula for osmotic pressure:
π = iRTc
Where:
- π is the osmotic pressure
- i is the van't Hoff factor (number of particles a solute dissociates into, for glucose it is 1)
- R is the ideal gas constant (0.0821 L•atm/(mol•K))
- T is the temperature in Kelvin
- c is the molar concentration of the solute in mol/L
Given the concentration of glucose solution is 5% (or 5 g/100 mL), we need to convert it into molar concentration:
Step 1: Convert percent concentration to molar concentration:
5% glucose solution means 5 g of glucose in 100 mL of solution.
The molar mass of glucose (C6H12O6) is approximately 180.16 g/mol.
Concentration in g/L = (5 g / 100 mL) * (1000 mL / 1 L) = 50 g/L
Molar concentration (c) in mol/L = (50 g/L) / (180.16 g/mol) = 0.277 mol/L
Step 2: Calculate osmotic pressure:
Now, we can substitute the values into the formula:
π = iRTc = (1)(0.0821 L•atm/(mol•K))(298 K)(0.277 mol/L)
Calculating this expression should give you the osmotic pressure in atm.