What is the work done on the gas by the surroundings during an isothermal compression process?
Final answer: The question is about isothermal compression of a gas. The work done on the gas by the surroundings is negative, which implies that it is -392 J during the compression process. Hence, answer C) -392 J is correct.
Understanding Isothermal Compression
Isothermal compression refers to a process in which an ideal gas is compressed while maintaining a constant temperature. This type of compression is important in various applications, including industrial processes and the operation of certain types of engines.
When an ideal gas undergoes isothermal compression, the work done on the gas by the surroundings is a crucial parameter to calculate. In this specific scenario, the question provided us with the information that 392 J of work is done on the gas during the compression process.
Calculating Work Done in Isothermal Compression
The formula for calculating work done during an isothermal process is given by: W = nRT ln(Vf/Vi), where:
- n is the number of moles of the gas
- R is the gas constant
- T is the temperature in Kelvin
- Vf and Vi are the final and initial volumes of the gas, respectively
In this case, the negative sign in front of the work value (-392 J) indicates that work is being done on the gas by the surroundings. This negative sign is crucial in recognizing the direction of the work in the compression process.
Therefore, by applying the formula and understanding the concept of work done in isothermal compression, we can correctly determine that the work done on the gas by the surroundings is -392 J.
In conclusion, understanding the principles of isothermal compression and the calculation of work done is essential in analyzing thermodynamic processes involving ideal gases.