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+$$\alpha$$t)

Using the celsius 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 celsius 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+$$\alpha$$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 $$\alpha \cong$$ 1/273 using the celsius 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?