How is work done by an ideal gas during expansion expressed mathematically?
Understand the Problem
The question is asking for the mathematical expression that defines the work done by an ideal gas when it expands. This typically involves concepts from thermodynamics and may relate to pressure and volume changes of the gas.
Answer
W = -nRT ln(Vf/Vi) for isothermal expansion.
The work done by an ideal gas during expansion at constant temperature (isothermal) is expressed as W = -nRT ln(Vf/Vi).
Answer for screen readers
The work done by an ideal gas during expansion at constant temperature (isothermal) is expressed as W = -nRT ln(Vf/Vi).
More Information
This formula is derived from the first law of thermodynamics and the ideal gas law. It assumes that the process is reversible and the system is at constant temperature.
Tips
A common mistake is using this formula for processes that are not isothermal or not reversible. Ensure temperature remains constant and the expansion is reversible.
Sources
- How to Calculate Work Done by an Expanding Gas - Study.com - study.com
- Gas Expansion - Chemistry LibreTexts - chem.libretexts.org
AI-generated content may contain errors. Please verify critical information
