Question

Two moles of a monatomic ideal gas at (5 MPa, 5 L) is expanded isothermally until the volume is doubled (step 1). Then it is cooled isochorically until the pressure is 1 MPa (step 2). The temperature drops in this process. The gas is now compressed isothermally until its volume is back to 5 L, but its pressure is now 2 MPa (step 3). Finally, the gas is heated isochorically to return to the initial state (step 4). (a) Draw the four processes in the pV plane. Draw the four processes in the pV plane.

a. Square
b. Triangle
c. Rectangle
d. Irregular shape

Answer 1

The gas goes through four different processes: isothermal expansion, isochoric cooling, isothermal compression, and isochoric heating. The four processes can be represented as a triangle, rectangle, triangle, and square in the pV plane. To find the total work done by the gas, calculate the work done in each step and add them together.

Step-by-step explanation:

In the given scenario, the gas goes through four different processes: isothermal expansion (step 1), isochoric cooling (step 2), isothermal compression (step 3), and isochoric heating (step 4). In the pV plane, these processes can be represented as follows:

(a) Step 1: Isothermal expansion - Triangle

(b) Step 2: Isochoric cooling - Rectangle

(c) Step 3: Isothermal compression - Triangle

(d) Step 4: Isochoric heating - Square

To find the total work done by the gas, we need to calculate the work done in each step and add them together.