Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
The Cell Theory: 1) All living organisms are composed of one or more cells. 2) The cell is the basic unit of structure and organization in organisms. 3) Cells arise from pre-existing cells.
Prokaryotic vs. Eukaryotic Cells: Prokaryotes lack a membrane-bound nucleus and organelles (e.g., bacteria), while Eukaryotes have a distinct nucleus and specialized organelles (e.g., plants and animals).
Organelles: Specialized structures within a cell. Key examples include the Nucleus (contains DNA), Mitochondria (site of aerobic respiration), and Ribosomes (site of protein synthesis).
Plant vs. Animal Cells: Plant cells possess a rigid cell wall made of cellulose and chloroplasts for photosynthesis, whereas animal cells lack these but may have small, temporary vacuoles and centrioles.
Cellular Respiration: The process by which mitochondria convert glucose into energy, represented by the chemical equation: .
Photosynthesis: The process in chloroplasts that converts light energy into chemical energy: .
Surface Area to Volume Ratio: As a cell increases in size, its volume () increases faster than its surface area (), which limits the efficiency of diffusion across the cell membrane.
📐Formulae
💡Examples
Problem 1:
A student observes a biological specimen under a microscope. The image size of a cell is measured to be , and the actual size of the cell is . Calculate the magnification used.
Solution:
Explanation:
Magnification () is calculated by dividing the measured image size () by the actual size of the specimen (). Ensure both measurements are in the same units before dividing.
Problem 2:
A cube-shaped model of a cell has a side length () of . Calculate its Surface Area to Volume ratio ().
Solution:
, ,
Explanation:
The ratio is critical for cell survival. A higher ratio (found in smaller cells) allows for faster exchange of nutrients and waste through the plasma membrane.