Many cells in the human body maintain an electric potential difference across their cellular membranes, typically through the use ion-specific pumps and channels that generate an excess of negative charges on the inside of the cellular membrane and an excess of positive charges on the outside. Let us estimate the total energy stored in the human body by this type of charge separation.

Biology Today and Tomorrow without Physiology (MindTap Course List)
5th Edition
ISBN:9781305117396
Author:Cecie Starr, Christine Evers, Lisa Starr
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Chapter4: Energy And Metabolism
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Many cells in the human body maintain an electric potential difference across their cellular membranes, typically through the use ion-specific pumps and
channels that generate an excess of negative charges on the inside of the cellular membrane and an excess of positive charges on the outside. Let us
estimate the total energy stored in the human body by this type of charge separation.
Transcribed Image Text:Many cells in the human body maintain an electric potential difference across their cellular membranes, typically through the use ion-specific pumps and channels that generate an excess of negative charges on the inside of the cellular membrane and an excess of positive charges on the outside. Let us estimate the total energy stored in the human body by this type of charge separation.
Different cells types maintain different membrane potentials, but as an approximation, let us assume that all cells in the body maintain a -40 mV potential
across its 7 nm thick cellular membrane, and that this bi-lipid cellular membrane acts as a dielectric with a dielectric constant of K = 9. The thickness of
the membrane is 1000-times smaller than the 16-micrometer diameter of our model cell, so we can reasonably approximate it as being (locally) flat and
treat the membrane as as a parallel-plate capacitor with an plate area equal to the surface area of the cell. Based on these estimates and approximations,
calculate the total energy stored in the human body by charge separation across the cellular membranes. What does your answer imply about the how
energy is stored in the human body?
Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8
Enter answer here
Joules
Transcribed Image Text:Different cells types maintain different membrane potentials, but as an approximation, let us assume that all cells in the body maintain a -40 mV potential across its 7 nm thick cellular membrane, and that this bi-lipid cellular membrane acts as a dielectric with a dielectric constant of K = 9. The thickness of the membrane is 1000-times smaller than the 16-micrometer diameter of our model cell, so we can reasonably approximate it as being (locally) flat and treat the membrane as as a parallel-plate capacitor with an plate area equal to the surface area of the cell. Based on these estimates and approximations, calculate the total energy stored in the human body by charge separation across the cellular membranes. What does your answer imply about the how energy is stored in the human body? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here Joules
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