Problem 27
Question
Which ion channel must accommodate the larger cation, a potassium or a sodium ion channel?
Step-by-Step Solution
Verified Answer
Answer: The potassium ion channel must accommodate the larger cation.
1Step 1: Recall the atomic radius of potassium and sodium ions
The atomic radius of potassium ion (K+) is approximately 152 pm, while the atomic radius of a sodium ion (Na+) is approximately 102 pm. Keep in mind that these values are rough estimates and might slightly vary in different sources.
2Step 2: Compare the sizes of potassium and sodium ions
To determine which ion channel needs to accommodate the larger cation, compare the atomic radii of K+ and Na+ ions. Since the atomic radius of K+ (152 pm) is larger than the atomic radius of Na+ (102 pm), K+ ions are larger than Na+ ions.
3Step 3: Determine the ion channel with larger accommodation requirements
The ion channel that must accommodate the larger cation will be the one involving the larger ion. Thus, a potassium ion channel has to accommodate a larger cation than a sodium ion channel because potassium ions (K+) are larger than sodium ions (Na+).
So, the potassium ion channel must accommodate the larger cation.
Other exercises in this chapter
Problem 24
Which of the following cannot be measured: ionization energy, electron affinity, ionic radius, atomic radius, or electronegativity?
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Which ion is larger: \(\mathrm{Cl}^{-}\) or \(\mathrm{I}^{-} ?\)
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