Please show work and answer to the questions. Thank you for your help. Two compa
ID: 73647 • Letter: P
Question
Please show work and answer to the questions. Thank you for your help.
Two compartments are separated by a semi-permeable membrane. In the left hand compartment is the sodium salt of a protein NaP. Assume NaP dissociates completely to Na and P: The initial concentration of sodium ion in the left hand chamber is 0.01M. in the right hand chamber is a NaCl solution in which the initial concentration of sodium is0.10M. The membrane is impermeable to the protein P' but fully permeable to the Na and Cl*. Calculate the concentrations of protein, sodium and chloride ions in both compartments when the system reaches equilibrium. Calculate also Donnan ration rD, the Donnan potential, and the net osmotic pressure across the membrane. Assume T=310K.Explanation / Answer
In the left-hand chamber the concentration of Na+ and P- is 0.01M
In the right-hand chamber the concentration of Na+ and Cl- is 0.1M
At equilibrium the concentration of Na+ would be 0.05M, Cl- would be 0.5M and P- would not reach equilibrium as the membrane is impermeable.
Donnan ratio (r)= Na left/ Na right = Cl right/ Cl left
= 0.05/0.05 = 0.5/0.5= 1
Donnan potential= 58 log10 Na left/ Na right = 58 log 10 Cl right/ Cl left
= 0mV
Osmotic potential= [ Na left + Cl left + P left] - [Na right + Cl right] R T
= [0.05 + 0.5 + 0.01] - [ 0.05 + 0.5] 62.3 mm Hg x 310
= 193.13 mm Hg