Answered: The antibiotic gramicidin A can…

Chemistry: The Molecular Science

5th Edition

ISBN:9781285199047

Author:John W. Moore, Conrad L. Stanitski

Publisher:John W. Moore, Conrad L. Stanitski

Chapter19: The Chemistry Of The Main-group Elements

Section: Chapter Questions

Problem 65QRT

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Question

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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