Pressure temp relationaship

  • #1
My lecturer writes the following in his lecture notes:

" P [tex]\propto[/tex] t for a fixed volume of gas,
P = P0(1+[tex]\alpha[/tex]t)

Using the Celcius scale of temperature, we find [tex]\alpha \cong[/tex] 1/273."

Is P really proportional to t?

How do we find [tex]\alpha \cong[/tex] 1/273 using the Celcius temp scale?
 

Answers and Replies

  • #2
mgb_phys
Science Advisor
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My lecturer writes the following in his lecture notes:
" P [tex]\propto[/tex] t for a fixed volume of gas,
Correct

P = P0(1+[tex]\alpha[/tex]t)
Just another way of writing the above,

Is P really proportional to t?
Yes - for an ideal gas or at low pressure and reasonable temperatures.

How do we find [tex]\alpha \cong[/tex] 1/273 using the Celcius temp scale?
Experimentally - it's the definition of absolute zero
 
  • #3
If P [tex]\alpha[/tex] t for a fixed volume of gas, then should P not equal [tex]\alpha[/tex] t, instead of being equal to a constant P-nought times the sum of 1 and [tex]\alpha[/tex] t?
 
  • #4
Experimentally - it's the definition of absolute zero

How can it be the definition of absolute zero?
 

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