9) How long would it take 100 molecules of valinomycin to transport enough K+ to change the concentration inside an erythrocyteof volume 100um3by10 mM? (Assume that valinomycin does not also transport any K+ out of the cell, which it really does, and that valinomycin molecules outside the cell are always saturated with K+.)

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lindseysmith1914 lindseysmith1914

04-04-2020
Chemistry

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9) How long would it take 100 molecules of valinomycin to transport enough K+ to change the concentration inside an erythrocyteof volume 100um3by10 mM? (Assume that valinomycin does not also transport any K+ out of the cell, which it really does, and that valinomycin molecules outside the cell are always saturated with K+.)

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OlaMacgregor OlaMacgregor · Answer 1 · 2020-04-08T10:19:40+02:00

Answer: Time required for 100 molecules of valinomycin to transport enough [tex]K^{+}[/tex] to change the concentration inside an erythrocyte is 10 minutes.

Explanation:

The given data is as follows.

Ions to be transported = [tex](10 mM) \times (100 \mu^{3})(N)[/tex]

= [tex]0.010 mol \times 10^{-13} L \times 6.02 \times 10^{23} ions/mol[/tex]

= [tex]6.02 \times 10^{6}[/tex] ions

Here, there are 100 ionophores are present and each one of ionophores are required to transport a value of ions.

Therefore, the time required for 100 molecules of valinomycin to transport enough [tex]K^{+}[/tex] to change the concentration inside an erythrocyte is as follows.

[tex]6.02 \times 10^{6} ions \times \frac{1 sec}{10^{4} ions}[/tex]

= 602 sec

or, = 10 minutes (as 1 min = 60 sec)

Thus, we can conclude that time required for 100 molecules of valinomycin to transport enough [tex]K^{+}[/tex] to change the concentration inside an erythrocyte is 10 minutes.