Numbers & Constants: Planck, Boltzman & Universal Gas

[Mk]

What is the purpose of all the Planck's stuff? Planck's length, Planck's energy. And what is Boltzmann's constant? On my calculator (PCalc 2 for mac) what is the "Universal Gas" (8.31451)?

 

[Integral]

The various "Planck" quantities are arrived at by manipulation of Planck Constant, which is an indication of the smallest units of energy. (Sort of like Universal pennies)

The numbers are not what you should be looking at when you come upon a "constant". You give the number associated with the Gas constant, it is meaningless without the UNITS.

The gas constant is the R in

PV= nRT, the exact number will depend on the units of the other quantities. To get meaningful results the units must be correct.

Boltzmann constant is related to the Gas constant, it is also found in thermodynamics. Once again learn to examine the units associated with such numbers,they tell you a lot.

 

[Hessam]

While on the topic of Planck... I'm new at physics (self-evidently once you read my question), what exactly is the value of Plancks constant? I've read materials that talk about it, but the actual numerical value is what i don't know, any help will be appreciated

 

[dlgoff]

Planks Constant h=6.626x10^-34 Joule sec.

 

[PRodQuanta]

Yes, what dlgoff said is correct. Max Planck was the founder of quantum physics. He said that energy is not continuous, but comes in small, discrete spurts. The energy on one of those spurts = Planck length.
Paden Roder

 

[chroot]

Originally posted by PRodQuanta
The energy on one of those spurts = Planck length.

Energy and length are of different units.

- Warren

 

[PRodQuanta]

yep, sorry, he's right, and that is what I intended. i meant energy.

 

[Michael F. Dmitriyev]

Originally posted by Mk
What is the purpose of all the Planck's stuff? Planck's length, Planck's energy. And what is Boltzmann's constant? On my calculator (PCalc 2 for mac) what is the "Universal Gas" (8.31451)?

Any "fundamental constant” is a patch hiding the gaping hole in our knowledge. For example,
gravity force = G*m1*m2/r^2

Presence of G means, that we know nothing about mass, space and gravity. In other cases also.
Any relation should be straight and should not contain any constants.

 

[Integral]

Please ignore the above post, it adds nothing of significance to the conversation.

Boltzmann constant defines the relationship between Temperature and how entropy changes with a changing energy. Bet that helped a lot! Mathematically (which, most likely, will not help much either!)

$$\frac 1 \tau = (\frac {\partial \sigma} {\partial U})_{N,V}$$
Where:
$$\tau = {Fundamental\ Temperature}$$
$$\sigma = {Fundamental\ Entropy}$$
$$U = {Energy}$$

The Boltzmann's constant is defined to be

$$\tau = k_B T$$
Where T is a temperature scale that you are familiar with (Kelvin, Celsius, Fahrenheit etc) depending on the value of k_B

this constant is used extensively in thermodynamics.

R the gas constant is defined to be

R = N₀k_B

Where N₀ is Avogadro's number

N₀= 6.022 x 10²³
k_B=1.38 x 10^-18erg/deg
R=8.314 x 10⁷erg/(mole deg)

Always include units with fundamental constants, also to learn about the constant, look at the units. In Physics and chemistry it is essential that you learn to appreciate the physical units attached to a number.

 

[ahrkron]

Originally posted by Michael F. Dmitriyev Presence of G means, that we know nothing about mass, space and gravity. In other cases also.
Any relation should be straight and should not contain any constants.

I strongly disagree with this. Whe you find a relation like that of gravity, you have pretty much nailed down: 1. which quantities are relevant for the interaction, 2. how they are involved in the phenomenon under study, and 3. the fact that a combination of them gives you always the same quantity (G in this case).

Also, constants have to do with the definition of the units you choose to use. Some constants in nature are indeed intriguing (maybe 26), but apart from those, they are not "gaps".