Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Simple Diffusion: The passive net movement of particles from a region of higher concentration to a region of lower concentration () down a concentration gradient. It occurs with small, non-polar molecules like and .
Facilitated Diffusion: The passive movement of specific molecules (like glucose or ions such as ) across a cell membrane via specific transmembrane integral proteins (carrier or channel proteins).
Osmosis: The net movement of water molecules () from a region of higher water potential (hypotonic solution) to a region of lower water potential (hypertonic solution) through a partially permeable membrane.
Active Transport: The movement of substances against a concentration gradient (). This process requires energy in the form of and involves specific protein pumps, such as the pump.
Factors Affecting Transport Rate: The rate of exchange is influenced by the concentration gradient (), temperature (), and the available surface area ().
Surface Area to Volume Ratio (): As a cell grows, its volume increases at a cubic rate while surface area increases at a squared rate. A high ratio is essential for efficient diffusion of nutrients and waste products.
📐Formulae
💡Examples
Problem 1:
A piece of potato with an initial mass of is placed in a concentrated salt solution. After 30 minutes, its mass is . Calculate the percentage change in mass and explain the movement of water.
Solution:
Explanation:
The potato lost of its mass. This occurred because the external salt solution was hypertonic relative to the potato cells. Consequently, water () moved out of the potato cells by osmosis, down the water potential gradient.
Problem 2:
Calculate the surface area to volume ratio for a cubic cell with a side length of and determine if it is more efficient than a cell with a side length of .
Solution:
For : , . Ratio . For : , . Ratio .
Explanation:
The smaller cell () has a higher ratio () compared to the larger cell (). Therefore, the smaller cell is more efficient at transporting materials across its membrane relative to its metabolic needs.