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aleksley [76]
3 years ago
12

5. Tree sap can be a very concentrated solution of solutes in water. These are mostly sugars, with van’t Hoff factors of 1. The

root system provides a semi-permeable membrane across which water moves to “dilute” the sap, providing a significant osmotic pressure.
a. If a tree sap has an effective concentration of 37 Molar, what pressure is generate at 298K across the endodermis root membrane? R = 0.08216 L.atm/mol.K.

b. If an osmotic pressure of 1.0 atm can raise a volume of water 10.33 meters high, how high can the sap of this tree rise?
Chemistry
1 answer:
murzikaleks [220]3 years ago
5 0

Answer:

a)905,89 atm of pressure will be generated at 298K.

b)The sap of tree can rise upto 9,357.84 meters.

Explanation:

a)

Effective concentration of sap = c = 37 M

Osmotic pressure generate at 298K = \pi

Temperature ,T = 298 K

\pi =cRT

\pi =37 mol/L\times 0.08216 atm L/mol L\times 298 K

\pi =905.89 atm

905,89 atm of pressure will be generated at 298K across the endodermis root membrane.

b)

Given that 1.0 at of pressure raises the volume of water upto height of 10.33 m

Then 905.89 atm of pressure will raise the height of water upto:

\frac{10.33}{1.0}\times 905.89 m=9,357.84 m

The sap of the tree can rise upto 9,357.84 meter.

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