29. * BIO EST Energy used to charge nerve cells A nerve cell is shaped like a cylinder. The membrane wall of the cylinder has a +0.07-V potential difference from the inside to the outside of the wall. To help maintain this potential difference, sodium ions are pumped from inside the cell to the outside. For a typical cell, 10^9 ions are pumped each second. (a) Determine the change in chemical energy each second required to produce this increase in electric potential energy. (b) If there are roughly 7 x 10^11 of these cells in the body, how much chemical energy is used in pumping sodium ions each second? (c) Estimate the fraction of a person's metabolic rate used to pump these ions.
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Given that the radius (r) is 3 x 2 cm and the height (h) is 12 cm, we have: V = π(3 x 2)^2 * 12 V = π(6)^2 * 12 V = π(36) * 12 V = 432π cm^3 Show more…
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Energy used to charge nerve cells A nerve cell is shaped like a cylinder. The membrane wall of the cylinder has $\mathrm{a}+0.07$ -V potential difference from the inside to the outside of the wall. To help maintain this potential difference, sodium ions are pumped from inside the cell to the outside. For a typical cell, $10^{9}$ ions are pumped each second. (a) Determine the change in chemical energy each second required to produce this increase in electric potential energy. (b) If there are roughly $7 \times 10^{11}$ of these cells in the body, how much chemical energy is used in pumping sodium ions each second? (c) Estimate the fraction of a person's metabolic rate used to pump these ions.
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A nerve cell is shaped like a cylinder. The membrane wall of the cylinder has a +0.07 V potential difference from the inside to the outside of the wall. To help maintain this potential difference, sodium ions are pumped from inside the cell to the outside. For a typical cell, 10^9 ions are pumped each second. a. Determine the change in chemical energy each second required to produce this increase in electric potential energy. b. If there are roughly 7Ă—10^11 of these cells in the body, how much chemical energy is used in pumping sodium ions each second? c. Estimate the fraction of a person's metabolic rate used to pump these ions. Assume the metabolic rate to be 100 W.
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