Answer: Molar concentration of the tree sap have to be 0.783 M
Explanation:
To calculate the concentration of solute, we use the equation for osmotic pressure, which is:
[tex]\pi=iCRT[/tex]
where,
[tex]\pi[/tex] = osmotic pressure of the solution = 19.6 atm
i = Van't hoff factor = 1 (for non-electrolytes)
R = Gas constant = [tex]0.0821\text{ L.atm }mol^{-1}K^{-1}[/tex]
T = temperature of the solution = [tex]32^oC=[273+32]=305K[/tex]
Putting values in above equation, we get:
[tex]19.6atm=1\times C\times 0.0821\text{ L.atm }mol^{-1}K^{-1}\times 305K[/tex]
[tex]C=0.783M[/tex]
Thus the molar concentration of the tree sap have to be 0.783 M to achieve this pressure on a day when the temperature is 32°C
