A phospholipid vesicle contains Mg2+ ions at a concentration of 30 mM. The vesic

Question

A phospholipid vesicle contains Mg2+ ions at a concentration of 30 mM. The vesicle is bathed in a solution containing Mg2+ ions at a concentration of 15 mM and the electric potential difference across the vesicle membrane deltaPsi = Psi_inside - Psi_outside = 7mV. The Faraday constant is 96.485 kJ/(V mol) and the gas constant is 8.314 × 10-3 kJ /(K mol). What is the electrochemical potential in kJ / mol associated with Mg2+ ions traveling from outside the vesicle to its interior at 30° C? Compute your answer to two decimal places.

Explanation / Answer

Properties of the energy: ,E:1.Eis an extensive property,whose units in thermodynamic problemsare calories or joules(1 cal = 4.184 Jorelectron-volts (1eV= 1.6 x 10-19J).

For an ideal or dilute gas, the energy is a function only of the intensive variable, temperature

Energy is a state function. The value of the energy function is unique for a given state, and therefore its change, E, between two states is independent of the pathway that links the states. Because of the latter two properties, the infinitesimal change of energy, dE, is a perfect differential, i.e.

E = E 2 E 1 d or the change of energy, E, between the value of E in the final state, “2,” and the initial state, 1.” This is the mathematical definition of a state function. In contrast, the integral of an arbitrary mathematical function is dependent on the pathway between initial and final states, and thus the change in its value from the initial to the final state is not unique.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.