Thermodynamic Process of an Ideal Monatomic Gas: Final Pressure and Work Done

What is the final pressure of the gas?

(b) What is the net work done on the gas, in J?

Final Answer:

The given thermodynamic process involves an isovolumetric process and an isobaric compression. This process can be represented on a PV diagram. The final pressure can be calculated using the ideal gas law, and the net work done on the gas can be found by subtracting the work done in each process.

Explanation:

The given thermodynamic process can be divided into two parts: isovolumetric process and isobaric compression.

In the isovolumetric process, the gas undergoes a temperature increase of 100.0 K while the volume remains constant. This process is represented by a vertical line on a PV diagram.

In the isobaric compression, the gas is compressed at constant pressure until its final temperature reaches 380.0 K. This process is represented by a line with negative slope on a PV diagram.

(b) To find the final pressure, we use the ideal gas law: PV = nRT. Plug in the values and solve for P to get the final pressure of the gas.

(e) The net work done on the gas can be calculated by subtracting the work done in the isovolumetric process from the work done in the isobaric compression.