Is Pressure Directly Proportional to Temperature in Gases?

[hasan_researc]

My lecturer writes the following in his lecture notes:

" P \propto t for a fixed volume of gas,
P = P₀(1+\alphat)

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

Is P really proportional to t?

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

 

[mgb_phys]

My lecturer writes the following in his lecture notes:
" P \propto t for a fixed volume of gas,

Correct

P = P₀(1+\alphat)

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 \alpha \cong 1/273 using the Celcius temp scale?

Experimentally - it's the definition of absolute zero

 

[hasan_researc]

If P \alpha t for a fixed volume of gas, then should P not equal \alpha t, instead of being equal to a constant P-nought times the sum of 1 and \alpha t?

 

[hasan_researc]

Experimentally - it's the definition of absolute zero

How can it be the definition of absolute zero?