The figure shows a PV diagram for 2.69 mole of oxygen gas in a sealed

The correct answer is -52.5 °C. For T4, you calculated the temperature at state 4 using the volume at state 3. The correct calculation should be T4 = (250.5 K)(.150 L)/(.05 L) = 751.5 K = 478.5 °C. In summary, the correct values for T3 and T4 are -52.5 °C and 478.5 °C, respectively.
  • #1
billsauce
3
0

Homework Statement


The figure shows a PV diagram for 2.69 mole of oxygen gas in a sealed container. The temperature of state 1 is 21 C. Pressure is Pi. What is T3 and T4?
http://s74.photobucket.com/user/teysure/media/phyiscs.png.html?sort=3&o=0





my attempt at solving the solution:
T3 - P1V1/T1 = P3V3/T3
(1Pi)(.100l)/294K = (1.5Pi)(.05l)/T2
T2 = 220.5K - 273 = 52.5K

T4 - V3/T3 = V4/T4
(.05l)/(220.5K) = (.150l)/(T4)
T4 = 661.5K = 388.5C
 
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  • #2
billsauce said:

Homework Statement


The figure shows a PV diagram for 2.69 mole of oxygen gas in a sealed container. The temperature of state 1 is 21 C. Pressure is Pi. What is T3 and T4?
http://s74.photobucket.com/user/teysure/media/phyiscs.png.html?sort=3&o=0my attempt at solving the solution:
T3 - P1V1/T1 = P3V3/T3
(1Pi)(.100l)/294K = (1.5Pi)(.05l)/T2
T2 = 220.5K - 273 = 52.5K

T4 - V3/T3 = V4/T4
(.05l)/(220.5K) = (.150l)/(T4)
T4 = 661.5K = 388.5C
When you calculated T3, you made a sign error. 220.5 - 273 is a negative number, and the result is in degrees °C.
 

1. What is a PV diagram?

A PV diagram, also known as a pressure-volume diagram, is a graphical representation of the relationship between pressure and volume for a given system. It is commonly used in thermodynamics to visualize the changes in pressure and volume during a process.

2. What does the figure show?

The figure shows a PV diagram for 2.69 mole of oxygen gas in a sealed container. It displays the relationship between pressure and volume as the gas goes through a series of changes in temperature and volume.

3. What does the horizontal axis represent on the PV diagram?

The horizontal axis on a PV diagram represents volume, typically measured in liters (L) or cubic meters (m^3). It shows the changes in volume that occur during a process.

4. What does the vertical axis represent on the PV diagram?

The vertical axis on a PV diagram represents pressure, typically measured in pascals (Pa) or atmospheres (atm). It shows the changes in pressure that occur during a process.

5. What can we learn from the PV diagram for 2.69 mole of oxygen gas?

From the PV diagram, we can learn about the changes in pressure and volume that occur during a process for 2.69 mole of oxygen gas. We can also determine the work done by the gas, the heat transferred, and the efficiency of the process. Additionally, we can use the PV diagram to calculate the temperature and other thermodynamic properties of the gas.

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