My Math Forum Dimensional Forms?

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October 10th, 2018, 03:52 AM   #11
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Quote:
 Originally Posted by NAC54321 Studiot thanks for your reply. I didn't look at this last night only now seeing it. I have always calculated speed by distance / time. Skipjack has helped greatly with the table and now it makes more sense, I am just trying to work out how each is derived.

Here is a good derivation.

Unfortunately skip has the specific heat the wrong way round.

I do/did not know how much you know or where you were coming from.

Thus the question about speed because we can derive a whole chain of examples from this.

We can continue this if you like.

Also it is possible to place the units/dimensions of a quantity once known into an equation to extend the list, as skip says.

So specific heat is the amount of energy to raise 1 kg of substance one degree Kelvin (or Celcius)

The specific heat capacity of something is the amount of heat required to raise that something one degree K

 October 11th, 2018, 12:59 AM #12 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 It seems that I gave the correct information for specific heat capacity, but that specific heat means exactly the same thing as specific heat capacity and therefore has the same dimensional formula. I recall learning the term "specific heat" at school, and it was only recently that I came across "specific heat capacity", which seems to be the more common term nowadays.
October 11th, 2018, 03:05 AM   #13
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Joined: Jun 2015
From: England

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Quote:
 Originally Posted by skipjack It seems that I gave the correct information for specific heat capacity, but that specific heat means exactly the same thing as specific heat capacity and therefore has the same dimensional formula. I recall learning the term "specific heat" at school, and it was only recently that I came across "specific heat capacity", which seems to be the more common term nowadays.
Really this is not a Maths question but should have been dealt with in Physics (best) or at least the applied Maths section.

Here is a short extract from one of the most successful Thermodynamics texts ever.

Basic Engineering Thermodynamics by Joel

Quote:
 Specific Quantity In the discussion of those properties which were associated with the mass of a substance are called extensive properties. For convenience. at times, it is useful to discuss the properties of a unit mass of substance. To indicate that this is the case, the word specific is used to prefix the property. Thus, the specific volume of a substance at some particular state, is the volume that unit mass of the substance will occupy at that particular state. Other specific quantities will be discussed in the text
I think this is a pretty good explanation.
Specific volume is the reciprocal of density and much used in Thermodynamics, Fluid Mechanics and Soil Mechanics.

I note an extra 'specific' crept in mistakenly in my last post.

Quote:
 Studiot The specific heat capacity of something is the amount of heat required to raise that something one degree K
That should just have been the heat capacity.

My apologies.

So yes 'specific heat' is short for 'specific heat capacity'.

Last edited by skipjack; October 11th, 2018 at 06:09 AM.

 October 11th, 2018, 06:10 AM #14 Global Moderator   Joined: Dec 2006 Posts: 20,942 Thanks: 2210 I've moved this to Physics.

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