Unit 2 · Practice for the Topic 2.8 end-of-topic test
In one second, a single sodium–potassium pump in a kidney cell completes about 100 cycles.
In that second, what has the pump moved and used?
A squid's nerve fiber holds K⁺ at 400 mmol/L inside and 20 mmol/L outside, and Na⁺ at 50 mmol/L inside and 440 mmol/L outside. Its sodium–potassium pumps move Na⁺ out and K⁺ in. A student says the pump needs ATP only for moving the Na⁺, because K⁺ enters the cell anyway.
Which statement corrects the student?
Two fine probes, one inside a mouse muscle cell and one in the fluid outside, show that the inside face of the membrane carries slightly more negative charge than the outside face. The cell is then treated with a drug, and two hours later the probes show the two faces carrying equal charge.
How should the change be described?
Suppose a cell's only pump moved two Na⁺ out and two K⁺ in for each ATP it used, instead of three and two. In this model, only the pump moves ions across the membrane.
Would a cell running only this pump end up with its inside negative?
Red blood cells for transfusion are stored in a refrigerator at 4 °C. The cold slows their sodium–potassium pumps to almost nothing. Over two weeks in the bag, the fluid around the cells gains K⁺ and the cells gain Na⁺; the membranes stay intact.
Explain the change.
In an experiment the inside of a nerve cell is made slightly positive relative to the outside, while K⁺ stays at 140 mmol/L inside and 5 mmol/L outside. A potassium channel then opens.
How do the two pulls on K⁺ compare?
The figure shows two cells holding Na⁺ at 145 mmol/L outside and 15 mmol/L inside. Cell 1 has its inside slightly negative relative to the outside. Cell 2 has no charge difference across its membrane. A sodium channel opens in each cell at the same moment.
Compare the net movement of Na⁺ into the two cells at that moment.
A newly formed animal cell builds its Na⁺ and K⁺ gradients and its membrane potential from scratch. Four events are listed out of order: (1) Na⁺ is low and K⁺ high inside, and the inside is slightly negative; (2) ATP is made; (3) three Na⁺ leave and two K⁺ enter per cycle; (4) the pump runs.
Which order runs from the first cause to the final result?
A membrane protein found in the cells lining the stomach moves K⁺ into the cell against its concentration gradient. Researchers name it an ATPase.
What does the name tell you about how the protein works?
A student measures Na⁺ at 145 mmol/L outside a cell and 15 mmol/L inside, and writes: 'This difference is the cell's membrane potential.'
Which statement corrects the student?
(a) Identify what one cycle of the pump moves, and the energy source it uses. (1 point)
A full-credit answer: One cycle moves three Na⁺ out of the sac and two K⁺ into it, using one ATP.
Check the box for each point your answer earns
The counts (three and two), the directions (Na⁺ out, K⁺ in) and ATP are all needed for the point.
Common slip: Swapping the counts, or sending both ions the same way. Three Na⁺ out, two K⁺ in, one ATP.
(b) Predict how the Na⁺ and K⁺ concentrations inside the sacs change over the hour. (1 point)
A full-credit answer: Inside the sacs, Na⁺ falls below 100 mmol/L and K⁺ rises above 100 mmol/L, because the pump sends Na⁺ out and brings K⁺ in, cycle after cycle, building the two gradients from nothing.
Check the box for each point your answer earns
Accept: 'Na⁺ ends up low inside and K⁺ high inside'. Do not award the point for both rising or both falling, or for 'nothing changes because the concentrations start equal'.
Common slip: Saying nothing changes because the pump needs a gradient to work on. The pump makes the gradients; it does not need them.
(c) Explain how the running pump produces a charge difference across the membrane, and state which face ends up negative. (1 point)
A full-credit answer: Each cycle moves three positive charges out and only two in, so a little more positive charge leaves than enters every cycle. The inside face ends up slightly negative relative to the outside: the membrane has a membrane potential and is polarized.
Check the box for each point your answer earns
Do not award the point for 'because Na⁺ is outside' with no count of the charges, or for the outside face named as negative.
Common slip: Saying the inside is negative because Na⁺ is outside, with no count. The three-for-two count is the whole point.
(d) Predict what happens to the two gradients and to the charge difference after the ATP has all been used. (1 point)
A full-credit answer: With the ATP gone, the pump stops. Na⁺ inside rises as Na⁺ drifts back in, K⁺ inside falls as K⁺ drifts back out, and the charge difference fades: the inside becomes less negative, drifting toward zero.
Check the box for each point your answer earns
Accept: 'the gradients fade and the membrane potential fades'. Do not award the point for 'nothing changes because the membrane is intact', or for the inside becoming more negative.
Common slip: Saying nothing changes because the membrane is intact. An intact membrane still has open channels, and the ions run down their gradients through them.
(e) Justify your prediction in (d) using the chain of events that runs from ATP to the membrane potential. (1 point)
A full-credit answer: The chain runs ATP → the pump runs → three Na⁺ out and two K⁺ in → Na⁺ low and K⁺ high inside → inside slightly negative. Every step depends on the one before it. With no ATP the pump stops, so nothing moves the ions against their gradients; they drift back down them through the open channels, and with no pump sending three positive charges out for every two in, the charge difference it was maintaining fades as well.
Check the box for each point your answer earns
Accept: a justification that names the pump's need for ATP and the ions drifting down their gradients through open channels. Do not award the point for 'the pump runs backward'.
Common slip: Saying the pump runs backward. It simply stops; the ions do the rest by running downhill.
(a) Describe what the sodium–potassium pump does in an untreated heart muscle cell. (1 point)
A full-credit answer: In an untreated cell, each cycle of the pump moves three Na⁺ out and two K⁺ in, both against their concentration gradients, using one ATP. That is what keeps Na⁺ at 10 mmol/L and K⁺ at 140 mmol/L inside.
Check the box for each point your answer earns
The counts, the directions and 'against the gradient' (or 'uphill') are needed; the numbers 10/145 and 140/5 are not required.
Common slip: Moving both ions the same way, or down their gradients. Three Na⁺ out, two K⁺ in, both uphill.
(b) Explain how the changes in the table show that the drug has slowed the pumps. (1 point)
A full-credit answer: Na⁺ inside rises from 10 to 30 mmol/L and K⁺ inside falls from 140 to 124 mmol/L. Each ion is drifting down its gradient through open channels, which a working pump normally undoes as fast as it happens. The drift showing through means the pumps are moving fewer ions back than before: the drug has slowed them.
Check the box for each point your answer earns
Accept: 'the gradients are fading, and only a slowed pump lets that happen'. Do not award the point for reading the numbers with no link to the pump, or for 'the drug lets ions through the membrane' (the membrane is intact).
Common slip: Reading off the numbers with no link to the pump, or blaming the drug for 'letting ions through'. The membrane is intact; the ions use channels, and the pump is what no longer keeps up.
(c) Predict how the charge across the membrane changes over the four hours. (1 point)
A full-credit answer: The inside becomes less negative relative to the outside over the four hours; the membrane potential fades toward zero.
Check the box for each point your answer earns
Do not award the point for the inside becoming more negative, or for the charge reversing to positive; 'less negative' or 'closer to zero' earns the point.
Common slip: Predicting the inside becomes more negative because Na⁺ is entering. The charge difference depends on the pump's three-out, two-in count, and the pump is doing less of it.
(d) Justify your prediction, using the pump's three-out, two-in count and the changes in the table. (1 point)
A full-credit answer: The pump keeps the inside negative by sending three positive charges out for every two it brings in. Slowed by the drug, it exports less positive charge each second, while the ions keep drifting down their gradients through the open channels, Na⁺ in and K⁺ out. The table shows the same thing: Na⁺ inside rose by 20 mmol/L while K⁺ inside fell by only 16 mmol/L, so more positive charge entered than left. The charge difference the pump was maintaining therefore shrinks, and the inside becomes less negative.
Check the box for each point your answer earns
Accept a count from the table: Na⁺ inside rose by 20 mmol/L while K⁺ inside fell by 16 mmol/L, so more positive charge entered than left and the inside became less negative. Accept: 'less pumping, so less of the three-for-two excess that made the inside negative'. Do not award the point for 'the drug makes the membrane leaky'.
Common slip: Saying the drug makes the membrane leaky. The membrane is intact; the change is that the pump no longer keeps up with the drift through the channels.