1) A beaker containing calcium chloride (CaCl2) is divided by a membrane. Initially, the concentrations in the right and left sides are 1 and 2 millimolars (mM), respectively. a) Use Ohm's law, Fick's law, and the Einstein's relationship to write an expression for the net flow of calcium through the membrane. i) ii) If the membrane is permeable to calcium but not to chloride, what will the equilibrium voltage across the membrane be? How much will the concentrations change by the time equilibrium is reached? b) State the conditions for space-charge neutrality. What does this tell us about the relationship between the current densities, Jca and Jcı? c) If the membrane is permeable to both ions, how large will the voltage be at equilibrium? d) Assuming that the membrane is permeable to both ions, find the relationship between the voltage across the membrane and the concentrations of CaCl2 before equilibrium is reached.

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter12: Solutions
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Problem 12.106QE: In the 1986 Lake Nyos disaster (see the chapter introduction), an estimated 90 billion kilograms of...
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1) A beaker containing calcium chloride (CaCl2) is divided by a membrane. Initially, the concentrations
in the right and left sides are 1 and 2 millimolars (mM), respectively.
a) Use Ohm's law, Fick's law, and the Einstein's relationship to write an expression for the net
flow of calcium through the membrane.
i)
ii)
If the membrane is permeable to calcium but not to chloride, what will the equilibrium
voltage across the membrane be?
How much will the concentrations change by the time equilibrium is reached?
b) State the conditions for space-charge neutrality. What does this tell us about the relationship
between the current densities, Jca and Jcı?
c) If the membrane is permeable to both ions, how large will the voltage be at equilibrium?
d) Assuming that the membrane is permeable to both ions, find the relationship between the
voltage across the membrane and the concentrations of CaCl2 before equilibrium is reached.
Transcribed Image Text:1) A beaker containing calcium chloride (CaCl2) is divided by a membrane. Initially, the concentrations in the right and left sides are 1 and 2 millimolars (mM), respectively. a) Use Ohm's law, Fick's law, and the Einstein's relationship to write an expression for the net flow of calcium through the membrane. i) ii) If the membrane is permeable to calcium but not to chloride, what will the equilibrium voltage across the membrane be? How much will the concentrations change by the time equilibrium is reached? b) State the conditions for space-charge neutrality. What does this tell us about the relationship between the current densities, Jca and Jcı? c) If the membrane is permeable to both ions, how large will the voltage be at equilibrium? d) Assuming that the membrane is permeable to both ions, find the relationship between the voltage across the membrane and the concentrations of CaCl2 before equilibrium is reached.
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