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5. I The biochemistry that takes place inside cells depends on O various elements, such as sodium, potassium, and calcium, that are dissolved in water as ions. These ions enter cells through nar- row pores in the cell membrane known as ion channels. Each ion channel, which is formed from a specialized protein molecule, is selective for one type of ion. Measurements with microelectrodes have shown that a 0.30-nm-diameter potassium ion (K+) channel carries a current of 1.8 pA. a. How many potassium ions pass through if the ion channel opens for 1.0 ms?

5. I The biochemistry that takes place inside cells depends on O various elements, such as sodium, potassium, and calcium, that are dissolved in water as ions. These ions enter cells through nar- row pores in the cell membrane known as ion channels. Each ion channel, which is formed from a specialized protein molecule, is selective for one type of ion. Measurements with microelectrodes have shown that a 0.30-nm-diameter potassium ion (K+) channel carries a current of 1.8 pA. a. How many potassium ions pass through if the ion channel opens for 1.0 ms?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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5. | The biochemistry that takes place inside cells depends on O various elements, such as sodium, potassium, and calcium, that are dissolved in water as ions. These ions enter cells through nar- row pores in the cell membrane known as ion channels. Each ion channel, which is formed from a specialized protein molecule, is selective for one type of ion. Measurements with microelectrodes have shown that a 0.30-nm-diameter potassium ion (K+) channel carries a current of 1.8 pA. a. How many potassium ions pass through if the ion channel opens for 1.0 ms? b. What is the current density in the ion channel?
Transcribed Image Text:5. | The biochemistry that takes place inside cells depends on O various elements, such as sodium, potassium, and calcium, that are dissolved in water as ions. These ions enter cells through nar- row pores in the cell membrane known as ion channels. Each ion channel, which is formed from a specialized protein molecule, is selective for one type of ion. Measurements with microelectrodes have shown that a 0.30-nm-diameter potassium ion (K+) channel carries a current of 1.8 pA. a. How many potassium ions pass through if the ion channel opens for 1.0 ms? b. What is the current density in the ion channel?
Expert Solution
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Explanation

Since we know from the current and charge relation

q = I x t..................(i)

where q is charge and t is time in sec

And also charge is a given as

q = n x e............(ii)

where n is number of charged particle and e is electronic charge. The value of  e is 1.6 x 10-19 C

From eq (i) and eq (ii)

n x e = I x t

Hence n = (I x t) / e.............(iii)

Therefore number of K+ can be calculated using eq (iii)

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