Cooling heated gas under pressure with water

AI Thread Summary
To reduce the temperature of air in a thermally insulated spherical container from 1000 F to 500 F, water must be injected, but the exact amount needed is not specified. The scenario involves a mixture of air and alcohol, complicating the calculations. The final pressure in the container will be influenced by the cooling effect of the air and the pressure increase from the water turning into steam. The discussion emphasizes the theoretical nature of the problem and the need for simplified calculations. Understanding this example is crucial for addressing a more complex project related to compressed heated gas.
alabra27
Messages
3
Reaction score
0
If I have a spherical container with volume 10 in^3 filled with air at 1000 F and 100 psi pressure and the container is thermally insulated, how much water (initial T=10 F) I need to inject inside this container to reduce the temperature to 500 F? What would the final pressure inside the container be (The air will reduce pressure due to the cooling, but the water will increase the pressure due to turning into steam)?
I know this is very difficult, so I am looking for approximated and simplified ways to get some ball park numbers.
Thx
Peter
 
Science news on Phys.org
alabra27 said:
If I have a spherical container with volume 10 in^3 filled with air at 1000 F and 100 psi pressure and the container is thermally insulated, how much water (initial T=10 F) I need to inject inside this container to reduce the temperature to 500 F? What would the final pressure inside the container be (The air will reduce pressure due to the cooling, but the water will increase the pressure due to turning into steam)?
I know this is very difficult, so I am looking for approximated and simplified ways to get some ball park numbers.
Thx
Peter

Welcome to the PF. What is the application? Is there only air inside initially? Why are you cooling with water?
 
Hi Berkeman, gald to be here,
There is no application. The question is theorethical. I am working on a problem involved something of comressed heated gas, but it's so complex to explain. This simple example , if answered, will give me the understanding I need to complete my complex project.
Actualy the air in my question in reality is mixture of 10:1 air and alchohol which is then heated inside the container and because of the heating increased the pressure.
I thought air only would make the job easy for the people trying to help me here.
All numbers are not as the real situation but made up for easy calculation.
Appreciate your reply
 
Oh I missed a question.
I must use water for the cooling. This requirement came from the customer.
 
Been around 40 years since I took basic physics in college and while I remember doing some examples of insulation values / energy conduction, I doubt I could to the math now even if I could find the formulas. I have some some corrugated plastic sheet (think of the plastic signs you see on the side of the road) that is used in bee hives. Also have some used in a green house though a bit different in dimensions than this example but the general approach should still apply. Typically, both...
Problem: You’re an Uber driver with a Tesla Model 3. Today’s low: 30F, high: 65F. You want to reach a USD$ profit target in the least number of hours, but your choices could have added cost. Do you preheat the battery only when you are headed to the charging station (to increase the charging rate by warming the battery — however the battery might not be “warm enough” when your reach the charger and thus slower charging rates), or do you always “navigate to the charger” the entire day (which...
Thread 'Is Callen right in claiming dQ=TdS for all quasi-static processes?'
Hello! I am currently reading the second edition of Callen's Thermodynamics and an Introduction to Thermostatistics, and I have a question regarding Callen's definition of quasi-static. On page 96, Callen says: Another way of characterizing Callen's definition is that a process is quasi-static if it traces out a continuous curve in the system's configuration space. So far it's all well and good. A little later, Callen claims that the identification of $$TdS$$ as the heat transfer is only...
Back
Top