The antibiotic gramicidin A can transport Na+ ions into a certain cell at the rate of 5.0 × 107 Na+ ions/channel · s. Calculate the time in seconds to transport enough Na+ ions to increase its concentration by 7.50 × 10−3 M in a cell whose intracellular volume is 1.70 × 10−10 mL.
The antibiotic gramicidin A can transport Na+ ions into a certain cell at the rate of 5.0 × 107 Na+ ions/channel · s. Calculate the time in seconds to transport enough Na+ ions to increase its concentration by 7.50 × 10−3 M in a cell whose intracellular volume is 1.70 × 10−10 mL.
Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter3: Molecules, Moles, And Chemical Equations
Section: Chapter Questions
Problem 3.67PAE
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The antibiotic gramicidin A can transport Na+ ions into a certain cell at the rate of 5.0 × 107 Na+ ions/channel · s. Calculate the time in seconds to transport enough Na+ ions to increase its concentration by 7.50 × 10−3 M in a cell whose intracellular volume is 1.70 × 10−10 mL.
Expert Solution
Step 1
The transport rate of Na+ ions = 5.0 × 107 Na+ ions/channel · s
The concentration of Na+ ions, M = 7.50 × 10−3 M = 7.50 × 10−3 mol/L (M = mol/L)
Intracellular volume, V = 1.70 × 10−10 mL.
Time in seconds to transport enough Na+ ions, t = ?
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