High-resolution measurements have shown that an ion

Chapter 22, Problem 49GP

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Problem 49GP

High-resolution measurements have shown that an ion channel (see Problem 48) is a 0.30-nm-diameter cylinder with length of 5.0 nm. The intracellular fluid filling the ion channel has resistivity 0.60 Ω . m. What is the resistance of the ion channel?Reference: Problem 48:The biochemistry that takes place inside cells depends on various elements, such as sodium, potassium, and calcium, that are dissolved in water as ions. These ions enter cells through narrow 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 channel carries a current of 1.8 pA. How many potassium ions pass through if the ion channel opens for 1.0 ms?

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