How to Solve the 4th Thermodynamics Question on Heat Capacity?

AI Thread Summary
The discussion revolves around solving the fourth thermodynamics question related to heat capacity, where the user struggles to understand the heat transfer equations involving air and water. The key relationship established is that the heat lost by air equals the heat gained by water, expressed as P_{air} = -P_{water}. Specific heat capacities are clarified, with liquid water's heat capacity noted as 4.18 kJ/kg°C, while the user expresses confusion over finding this value in their reference tables. The conversation highlights the importance of using reliable sources for data and suggests that a simple online search can resolve such issues. Overall, the thread emphasizes the need for clarity in thermodynamics concepts and data sourcing.
DrVirz
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Homework Statement


Hi all, please see uploaded pics. I can do the first 3 questions but can't get my head around the 4th. Any help is appreciated.

Capture_zpsiwkqpcld.jpg


DSC_0157_zpswmfhsrg7.jpg
 
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The rate at which heat is lost by the air P_{air}, equals to minus the rate P_{water}at which heat is absorbed by the water. So it will be P_{air}=-P_{water}.

P_{air}=C_{air}\dot{m}_{air}(47-167), P_{water}=C_{water}\dot{m}_{water}(40-35)
 
Hi Delta,

What have you denoted as C?
 
Its the specific heat capacity. For water is 4.17 and for air around 1.01 at the temperatures of this problem.
 
I thought it was the specific heat capacity but I can only find the Cv/Cp for water in any of the tables from my text which was confusing me a bit.

Cheers for the help!
 
DrVirz said:
I thought it was the specific heat capacity but I can only find the Cv/Cp for water in any of the tables from my text which was confusing me a bit.

Cheers for the help!
It's liquid water. What is the heat capacity of liquid water?

Chet
 
Chestermiller said:
It's liquid water. What is the heat capacity of liquid water?

Chet

Sorry in my previous post i meant to say CANT find the Cv/Cp value for water in any of my tables.
 
DrVirz said:
Sorry in my previous post i meant to say CANT find the Cv/Cp value for water in any of my tables.
The heat capacity of liquid water is 4.18 kJ/kg C. Did you not see Δ2's post # 4? Are you saying you never had this in freshman physics?

Chet
 
Chestermiller said:
The heat capacity of liquid water is 4.18 kJ/kg C. Did you not see Δ2's post # 4? Are you saying you never had this in freshman physics?

Chet

Yes I did see that in Delta's post. I am just saying, naturally, I refer to the tables for my data values and when I didn't come across a value for water it threw me off. I thought I had done something wrong. That's what happens when you have been studying all day I guess, time to take a rest.
 
  • #10
DrVirz said:
Yes I did see that in Delta's post. I am just saying, naturally, I refer to the tables for my data values and when I didn't come across a value for water it threw me off. I thought I had done something wrong. That's what happens when you have been studying all day I guess, time to take a rest.
All I did was Google "heat capacity of water."

Chet
 

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