Respuesta :
Answer / Explanation:
To properly understand this question, let us first try to understand what an Na+ K+ pump is:
The Na+ K+ pump is an electro-genic transmembrane ATPase. Situated in the outer plasma membrane of the cells; on the cytosolic side.
We need to also know that the plasma membrane is a lipid bilayer arranged asymmetrically and contains cholesterol, phospholipids, glycolipids, sphingolipid, and proteins within the membrane. Part of the function of the Na+K+ -ATPase pump is to helps maintain osmotic equilibrium and membrane potential in cells.
With the understanding of the above, if we go further to solving the question, we have:
700 Na+; 200 K+; 900 ATP and -200 charge differential (inside - outside).
So for further explanation,
We can say that:
For the Inside cells, there are 1000 molecules of Na+ and 1000 molecules of ATP.
For the Outside cells, there's 1000 molecules of K+.
The Na+/K+ ATPase dismisses 3 molecules of Na+ and enters 2 molecules of K+ with every pump.
Therefore, If there's only one Na/K ATPase and there is no changes in the cellular environment,
Hence, the Na/K ATPase pumps 100 times.
So we can suggest that 300 molecules of Na+ will leave the cell, and 200 molecules of K+ will enter the cell.
Every pump costs 1 ATP molecule, so there will be 100 ATP molecules used.
Therefore, we can conclude that:
700 Na+; 200 K+; 900 ATP and -200 charge differential (inside - outside) which represent or equates to the answer we are looking for.
The number of Na⁺ and K⁺ and the net charge differential would be - 700 Na+ molecules, 200 K+ molecules, 900 ATP molecules, and a net charge differential of -200.
Given:
Inside the cell
1000 molecules - Na⁺
1000 molecules - ATP.
Outside the cell,
1000 molecules - K⁺.
Solution:
we know that,
The Na⁺/K⁺ ATPase pump expels 3 molecules of Na+ and enters 2 molecules of K+ with every pump and it costs 1 ATP
Let assume there's only one Na⁺/K⁺ ATPase and there are no other changes in the cellular environment, and the Na⁺/K⁺ ATPase pumps 100 times,
Then,
300 molecules of Na⁺ will exit the cell
and 200 molecules of K⁺ will enter the cell.
so 100 ATP molecules used
The number of Na⁺ and K⁺:
=> Na⁺ inside the cell: 1000 - 300 = 700 Na+ molecules.
=> K⁺ inside the cell: 200 K+ molecules.
=> ATP inside the cell: 1000 - 100 = 900 ATP molecules.
the net charge differential:
Net charge differential: -200
Thus, The number of Na⁺ and K⁺ and the net charge differential would be - 700 Na+ molecules, 200 K+ molecules, 900 ATP molecules, and a net charge differential of -200.
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