22. The First Law of Thermodynamics

How much work is done on a gas that expands from A to B along the path shown below?

A gas with an initial volume of 0.2 m³ is heated at constant volume, and the pressure increases from 2×10⁵ Pa to 5×10⁵. Then, it compresses at constant pressure until it reaches a final volume of 0.12 m³. Draw the two processes in the PV diagram below and find the total work done by the gas.

The $pV$-diagram in Fig. E$19.13$ shows a process $abc$ involving $0.450$ mol of an ideal gas. How much heat had to be added during the process to increase the internal energy of the gas by $15,000$ J?

The process $abc$ shown in the $pV$-diagram in Fig. E$19.11$ involves $0.0175$ mol of an ideal gas. What was the lowest temperature the gas reached in this process? Where did it occur?

A gas undergoes two processes. In the first, the volume remains constant at $0.200$ m³ and the pressure increases from $2.00\times {10}^5$ Pa to $5.00\times {10}^5$ Pa. The second process is a compression to a volume of $0.120$ m³ at a constant pressure of $5.00\times {10}^5$ Pa. Find the total work done by the gas during both processes.

A gas undergoes two processes. In the first, the volume remains constant at $0.200$ m³ and the pressure increases from $2.00\times10^5$ Pa to $5.00\times10^5$ Pa. The second process is a compression to a volume of $0.120$ m³ at a constant pressure of $5.00\times10^5$ Pa. In a $pV$-diagram, show both processes.