Passive or active? Check the gradient.

Six original Cambridge-style questions on movement across membranes, including SA : V calculations and planning the agar block investigation.

Original questions All questions on this page are original work, written in the Cambridge AS & A Level style. They are not from past papers. They test the same concepts and skills the syllabus rewards.
Keep these straight

Route, gradient, energy.

01
Recall
[2 marks]

Define diffusion.

  • The net movement of molecules or ions from a region of higher concentration to a region of lower concentration (down a concentration gradient). ✓
  • As a result of their random movement; it is passive and needs no energy from the cell. ✓
02
Calculation
[3 marks]

Calculate the surface area to volume ratio of an agar block measuring 4 cm × 1 cm × 1 cm, and compare it with that of a 2 cm cube.

  • Surface area = 2(4 × 1) + 2(4 × 1) + 2(1 × 1) = 8 + 8 + 2 = 18 cm2; volume = 4 cm3. ✓
  • SA : V = 18 ÷ 4 = 4.5 : 1. ✓
  • The 2 cm cube has 24 ÷ 8 = 3 : 1, so the long thin block has the larger ratio and would clear faster. ✓
03
Analysis
[4 marks]

Plan an investigation into the effect of surface area to volume ratio on the rate of diffusion, using agar blocks containing an indicator.

  • Make agar containing an alkali and phenolphthalein (pink); cut cubes of side, for example, 0.5, 1, 1.5 and 2 cm with a sharp knife and ruler. ✓
  • Place each cube in the same volume and concentration of dilute hydrochloric acid at the same temperature. ✓
  • Time how long each cube takes to become completely colourless; repeat each size at least three times and calculate a mean. ✓
  • Calculate SA : V for each cube and plot time (or 1 ÷ time as a rate) against SA : V. ✓
04
Explain
[3 marks]

Explain why the rate of facilitated diffusion of glucose into a cell stops increasing at high external glucose concentrations, while the rate of simple diffusion of oxygen does not level off in the same way.

  • Glucose is polar, so it can only cross through specific carrier proteins. ✓
  • At high concentrations all the carrier proteins are occupied (saturated), so the number of carriers limits the rate. ✓
  • Oxygen diffuses through the phospholipid bilayer itself, so its rate keeps rising in proportion to the concentration gradient. ✓
05
Explain
[3 marks]

The sodium-potassium pump moves 3 Na+ out of a cell and 2 K+ into it for each molecule of ATP used. Explain why this is described as active transport.

  • The ions are moved against their concentration gradients: Na+ out to where its concentration is already higher, K+ in to where its concentration is already higher. ✓
  • A specific carrier protein is involved, which changes shape when it is phosphorylated. ✓
  • Energy is supplied by the hydrolysis of ATP produced in respiration. ✓
06
Data
[3 marks]

Root tissue was kept in a solution of potassium ions. With oxygen bubbled through, uptake was 12 arbitrary units per hour. With nitrogen bubbled through instead, uptake fell to 2 units per hour. Explain these results.

  • With oxygen, aerobic respiration makes plenty of ATP, so K+ is taken up by active transport, which is fast. ✓
  • With nitrogen there is no oxygen, so little ATP is made and active transport almost stops. ✓
  • The small remaining uptake is probably by facilitated diffusion through channel proteins (or diffusion into cell walls), which does not need ATP. ✓

Mark this once you have attempted all six and checked your working. It records a Practiced badge on the topic and adds a one-time bonus. Revealing the solutions alone does not count.