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?

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter34: Particle Size Determination
Section: Chapter Questions
Problem 34.12QAP
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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
Step 1

 

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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