Answer:
To estimate the final pressure of the volume of ethylene, we can use the theory of corresponding states and the compressibility-factor chart. Here's a step-by-step approach to solving this problem:
1. Identify the given information:
- Initial volume (Vi) = 1.4 L
- Initial temperature = -32.5°C
- Initial pressure (Pi) = 9.6 atm
- Final temperature = 179.8°C
2. Convert the initial and final temperatures to Kelvin:
- Initial temperature = -32.5 + 273.15 = 240.65 K
- Final temperature = 179.8 + 273.15 = 452.95 K
3. Calculate the initial reduced temperature (Tr):
- Tr = Ti / critical temperature (Tc)
- Refer to the compressibility-factor chart to find the critical temperature of ethylene.
4. Calculate the initial reduced pressure (Pr):
- Pr = Pi / critical pressure (Pc)
- Refer to the compressibility-factor chart to find the critical pressure of ethylene.
5. Calculate the initial reduced volume (Vr):
- Vr = Vi / critical volume (Vc)
- Refer to the compressibility-factor chart to find the critical volume of ethylene.
6. Use the compressibility-factor chart to determine the compressibility factor (Z) at the initial reduced conditions (Pr, Tr, Vr).
7. Use the compressibility factor (Z) to estimate the final pressure :
- Pf = Z * critical pressure (Pc)
Make sure to use the appropriate units for each calculation and refer to the compressibility-factor chart specific to ethylene. This approach helps estimate the final pressure based on the given information and the properties of the substance.
Step-by-step explanation: