Specific Heat in Absolute vs Relative Units

AI Thread Summary
The discussion centers around the confusion regarding the specific heat values reported in different units, specifically Btu/lbmolF and Btu/lbmolR, which appear identical despite the expected conversion factor. It is clarified that 1 degree Fahrenheit equals 1 degree Rankine, leading to the same numerical values for specific heat in these units. However, there is contention over the notation used, with some participants arguing that Btu/lbmolR is not appropriate and should instead be Btu/lb.R. The conversation also touches on the relevance of absolute temperature in calculations and the practicality of using these units in engineering contexts. Ultimately, the participants emphasize the importance of understanding unit conversions and the implications for compressor efficiency calculations.
ttrumble
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I'm running a simulation on a gas mixture that spits out its Specific Heat in a number of different units.

The values for Specific Heat in Btu/lbmolF vs Btu/lbmolR are the same, which confuses me at first glance.

I sort of remember in Thermo not having to worry about Btu/lbmolF vs Btu/lbmolR, even though looking at it from a unit perspective I would have to multiply by 460 (from 1F = 460.67 R) to convert between them. I have googled this and can't find much information.

Does this come from relative temperature being a temperature difference vs an absolute temp?
Can I trust the output from this simulation for my compressor efficiency calculations?
 
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ttrumble said:
I'm running a simulation on a gas mixture that spits out its Specific Heat in a number of different units.

The values for Specific Heat in Btu/lbmolF vs Btu/lbmolR are the same, which confuses me at first glance.

I sort of remember in Thermo not having to worry about Btu/lbmolF vs Btu/lbmolR, even though looking at it from a unit perspective I would have to multiply by 460 (from 1F = 460.67 R) to convert between them. I have googled this and can't find much information.

Does this come from relative temperature being a temperature difference vs an absolute temp?
Can I trust the output from this simulation for my compressor efficiency calculations?
Yes and yes. 1 degree F = 1 degree R

Chet
 
Chestermiller said:
Yes and yes. 1 degree F = 1 degree R

Chet

Thank you for your quick response. I appreciate the confirmation.
 
The conversion from Fahrenheit to Rankine is TR = TF + 459.67. That's not the same as TR = TF * 460.67, though both lead to 1F = 460.67 R which is what you pulled from Google without fully understanding.

The units don't look right though. It should read BTU/lb.R instead of Btu/lbmolR which doesn't seem to make any sense.
 
dauto said:
The conversion from Fahrenheit to Rankine is TR = TF + 459.67. That's not the same as TR = TF * 460.67, though both lead to 1F = 460.67 R which is what you pulled from Google without fully understanding.

The units don't look right though. It should read BTU/lb.R instead of Btu/lbmolR which doesn't seem to make any sense.

I didn't actually pull it from google, but I was stuck thinking from a unit conversion (multiplying by 1) perspective without understanding how absolute temperature is used. When I said that I was going to multiply by 460, I was referring to the heat capacity, not just to the value of temperature. I picked 1F arbitrarily.

The units seem fine to me, at least from an industry engineering standpoint where we use different definitions of the mole, which I believe the standard mole would be considered a gram mole (gmol). It's not actually mass multiplied by mols, but an identifier next to the mol units depending on the unit system we're using. The title mentioned that I'm dealing with specific heat, but heat capacity where it has not been divided by molar mass to give information on a per unit mass basis is what this program's output is.

Maybe another poster could clarify what I have stated.
 
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dauto said:
The conversion from Fahrenheit to Rankine is TR = TF + 459.67. That's not the same as TR = TF * 460.67, though both lead to 1F = 460.67 R which is what you pulled from Google without fully understanding.

The units don't look right though. It should read BTU/lb.R instead of Btu/lbmolR which doesn't seem to make any sense.

The molar heat capacity is given in units of BTU/ lbmol.R, where one lbmol is 1 MW of the substance in lbs. Go figure us crazy Americans, huh!

Chet
 
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Chestermiller said:
The molar heat capacity is given in units of BTU/ lbmol.R, where one lbmol is 1 MW of the substance in lbs. Go figure us crazy Americans, huh!

Chet

That's a terrible notation. Whoever had that idea needs to quit having ideas. Seriously...
 
dauto said:
That's a terrible notation. Whoever had that idea needs to quit having ideas. Seriously...
Please try not to be so judgmental. We chemical engineers find this an extremely convenient unit to work with, especially in dealing with industrial heat effects from chemical reactions. Do you also feel that molar heat capacity expressed as cal/g-mole.C represents seriously terrible notation? The lb molar heat capacity in BTU/lbm-F is numerically equal to the gram molar heat capacity in cal/g-mole.C.

Chet
 

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