Volume of gas in a thermdynamic cycle

[merbear]

1. Homework Statement

A 1 mol sample of an ideal gas for which c'V = 3R/2 follows the closed thermodynamic cycle shown in Fig. 18-36. There are three legs in the cycle: an isothermal expansion, A B; an isobaric compression, B C; and a constant-volume increase in pressure, C A. The temperature during the isothermal leg is 340 K, pA = 1.8 atm, and pB = 1.2 atm. Find each of the following. (a) Va (b) Vb. (See attachment for image - ignore the pressure numbers on the graph and use the numbers given in the problem)


2. Homework Equations

Pv=nRT (initial and final)


3. The Attempt at a Solution

Pa: V= [1 mol (.08205784 L*atm/k*mol)(340K)]/1.8 atm = 15.499 L = .0155 M^3

Pb: V= [1 mol (.08205784 L*atm/k*mol)(340K)]/`1.2 atm = 23.25 L = .0232 M^3

When I plugged those answers to see if they were right, the first one came up right for the volume at A. But my response for the volume at B came up incorrect. I performed the problem in the same way just changing the numbers, I don't understand why it is incorrect. Any help would be appreciated.

Thank-you

 

[Jhero]

Thank you for sharing your attempt at solving this problem. It appears that you have correctly calculated the volume at point A, but there may be an error in your calculation for point B. I would suggest double checking your calculations and also making sure that you are using the correct units for pressure (atm) and volume (L or m^3).

Additionally, it may be helpful to consider the ideal gas law in your calculations for point B, as the problem states that the gas is ideal. This equation relates pressure, volume, moles, and temperature, and may provide a more accurate answer for point B.

If you are still having trouble, I would recommend seeking assistance from a classmate or your teacher. They may be able to provide additional guidance and clarification.

Best of luck with your calculations!