Correct mathematical notation for Volumetric Heat Capacity

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Discussion Overview

The discussion revolves around the correct mathematical notation for Volumetric Heat Capacity, specifically comparing two notations: Btu/ft³·°F and Btu/(ft³·°F). The focus is on the technical correctness of these notations within the context of mathematical rules and unit representation.

Discussion Character

  • Technical explanation, Debate/contested

Main Points Raised

  • Some participants argue that the second notation, Btu/(ft³·°F), is technically more correct due to its clarity in avoiding potential confusion with unit representation.
  • Another participant reiterates that the first notation, Btu/ft³·°F, can be misinterpreted according to standard mathematical rules, suggesting that it implies a different structure than intended.
  • One participant expresses uncertainty about their own usage of the notation in a specific application, asking for validation regarding its correctness in the context of a Psychrometric Calculator.
  • A later reply encourages the participant not to doubt their usage, though it does not provide further clarification on the notation itself.

Areas of Agreement / Disagreement

There is no consensus on which notation is definitively correct, as participants express differing views on the technical accuracy of each option.

Contextual Notes

The discussion highlights potential confusion arising from the notation used and the importance of clarity in mathematical expressions, but does not resolve the implications of these notations in practical applications.

penderway
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What is the correct notation for Volumetric Heat Capacity? I see it written both ways (Wiki for example). I'm pretty sure one is more correct but which is it?

(1) Btu/ft³·°F
or
(2) Btu/(ft³·°F)
 
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Technically the second is more correct.

That is, we take that Btu/ft³·°F = ##{Btu} \over {ft^3\cdot °F}## while according to the standard mathematical rules it actually says Btu/ft³·°F = ##\frac{Btu}{ft^3}\cdot °F##.
The second option avoids this possible confusion by using parentheses.

However when using units it often happens that you neglect this technicality, because you know what the units are supposed to say.
 
JorisL said:
Technically the second is more correct.

That is, we take that Btu/ft³·°F = ##{Btu} \over {ft^3\cdot °F}## while according to the standard mathematical rules it actually says Btu/ft³·°F = ##\frac{Btu}{ft^3}\cdot °F##.
The second option avoids this possible confusion by using parentheses.

However when using units it often happens that you neglect this technicality, because you know what the units are supposed to say.
Much appreciated.
 
Sure, don't doubt yourself ;-)
 
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