krit.club logo

Cell Biology - Membrane transport

Grade 12IBBiology

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

The plasma membrane is semi-permeable and selective, primarily composed of a phospholipid bilayer with embedded proteins (Fluid Mosaic Model).

Simple Diffusion: The passive net movement of particles from a region of higher concentration to a region of lower concentration ([High][Low][High] \rightarrow [Low]) across the phospholipid bilayer, typically involving small or non-polar molecules like O2O_2 and CO2CO_2.

Facilitated Diffusion: Passive movement of polar molecules or ions (e.g.,K+,Na+,glucosee.g., K^+, Na^+, glucose) through the membrane via specific integral proteins (channel or carrier proteins).

Osmosis: The passive movement of H2OH_2O molecules across a partially permeable membrane from a region of lower solute concentration to a region of higher solute concentration.

Active Transport: The movement of substances against a concentration gradient ([Low][High][Low] \rightarrow [High]) using energy in the form of ATPATP. A primary example is the Sodium-Potassium pump (Na+/K+Na^+/K^+ pump) in neurons.

Endocytosis and Exocytosis: Bulk transport mechanisms that utilize the fluidity of the membrane and vesicles to move large substances or quantities into or out of the cell. This process requires ATPATP.

Tonicity: The ability of an extracellular solution to make water move into or out of a cell. Solutions can be isotonic (equal osmolarity), hypotonic (lower osmolarity than the cell), or hypertonic (higher osmolarity than the cell).

Structure of the Sodium-Potassium Pump: It moves 3 Na+3 \ Na^+ ions out of the cell and 2 K+2 \ K^+ ions into the cell per cycle of ATPATP hydrolysis.

📐Formulae

Osmolarity (osmol/L)=moles of soluteVolume of solution (L)Osmolarity \ (osmol/L) = \frac{moles \ of \ solute}{Volume \ of \ solution \ (L)}

Percentage Change in Mass=Final MassInitial MassInitial Mass×100Percentage \ Change \ in \ Mass = \frac{Final \ Mass - Initial \ Mass}{Initial \ Mass} \times 100

SA:V Ratio=6L2L3=6L (for a cube with side L)SA:V \ Ratio = \frac{6L^2}{L^3} = \frac{6}{L} \text{ (for a cube with side L)}

Rate of DiffusionSurface Area×Concentration GradientThickness of Membrane\text{Rate of Diffusion} \propto \frac{Surface \ Area \times Concentration \ Gradient}{Thickness \ of \ Membrane}

💡Examples

Problem 1:

A sample of plant tissue is placed in a solution with an osmolarity of 0.6 M0.6 \ M. The initial mass of the tissue was 2.50 g2.50 \ g, and after 30 minutes, the mass was 2.10 g2.10 \ g. Calculate the percentage change in mass and determine if the solution was hypertonic, isotonic, or hypotonic.

Solution:

Percentage Change=2.102.502.50×100=16.0%Percentage \ Change = \frac{2.10 - 2.50}{2.50} \times 100 = -16.0 \%

Explanation:

The negative percentage change indicates that the tissue lost mass. This occurs because H2OH_2O moved out of the cells via osmosis. Therefore, the external solution must have had a higher solute concentration than the cytoplasm, making the solution hypertonic.

Problem 2:

Explain the role of ATPATP in the function of the Na+/K+Na^+/K^+ pump in an axon.

Solution:

The pump uses 11 molecule of ATPATP to transport 3 Na+3 \ Na^+ out and 2 K+2 \ K^+ in against their gradients.

Explanation:

The hydrolysis of ATPATP into ADP+PiADP + P_i provides the energy required for the conformational change of the integral protein. This maintains the resting potential of the neuron by keeping [Na+][Na^+] high outside and [K+][K^+] high inside the cell.

Membrane transport - Revision Notes & Key Diagrams | IB Grade 12 Biology