Cell equilibrium question. Please show all work done. At 310 K, a solution of so

Question

Cell equilibrium question. Please show all work done.

At 310 K, a solution of sodium sulfate, Na_2SCO_4 = 2 Na^+ + SO_4^2-, is separated by a membrane. Inside the cell, a double-charged protein ion (whose counter ion is either Na^+ or SO_4^2-) is also present. The membrane is permeable to everything in the system except for the protein ion. The equilibrium concentrations of SO_4^2- inside and outside the cell are 0.20 M and 0.05 M, respectively. Is the protein ion positively or negatively charged? 1) Positively charged 2) Negatively charged 3) Charge neutral (c) Calculate the equilibrium concentration of the protein ion inside the cell.

Explanation / Answer

Given that a protein is doubly charged and membrane is non permeable for this doubly charge protein ion.

Along with this solution of Na2SO4 is separated by membrane and it permeable to both Monocation Na+ and dianion SO42- and hence we can say that not for dication and monoanion.

Given protein is doubly charged and hence cannot be a monoanion.

b) So surely protein is a dication i.e. +vely charged (Option-b).

c) Protein is dication and must be associated to the dianion (as given that SO42- is counterion) and hence must have same concentration

Therefore [Protein] = [SO42-] = 0.20 M.

Equilibrium concentration of protein inside the cell is 0.20 M.

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