Temperature and Pressure Calculation

AI Thread Summary
A user is developing a formula to calculate pressure changes due to temperature increases in a fixed volume, utilizing Charles Law and Boyle's Law. They seek validation on the originality and utility of their formula, which has shown promising results despite limited testing resources. Feedback indicates that the formula may have flaws, particularly when no temperature change occurs, leading to confusion about pressure outcomes. The user clarifies that the formula is intended to reflect pressure changes in a gas vessel. The discussion highlights the importance of ensuring the formula aligns with established gas laws for accurate applications.
Phil31
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Hi there,

New to the forum.

I decided to come here as I am currently working on a formula that will give me the resulting pressure as a result of an increase in temperature within fixed volume.

I have used Charles Law and Boyles law and combined them in a way that gives me this increase.

Firstly, I was wondering if this is anything new, I couldn't find anything exact when researching it so used Charles Law and Boyles law to come up with it

Secondly, Is this useful? I know it is for me but in a general physics application?

So far it has held up to tests (that have not been all that scientific but as accurate as possible given my limited resource).

The formula is:

Where x is temperature increase in Celcius

P2 = P1 - (P1 x V1 x T1)/(x+T1)xV1

P is in Pascals
V in any metric unit
T is in kelvin

A bit about me, I have a Degree in Marketing and Economics but work in the Gas Industry.

Any feed back would be appreciated

Cheers
 
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Phil31 said:
Hi there,

New to the forum.

I decided to come here as I am currently working on a formula that will give me the resulting pressure as a result of an increase in temperature within fixed volume.

I have used Charles Law and Boyles law and combined them in a way that gives me this increase.

Firstly, I was wondering if this is anything new, I couldn't find anything exact when researching it so used Charles Law and Boyles law to come up with it

Secondly, Is this useful? I know it is for me but in a general physics application?

So far it has held up to tests (that have not been all that scientific but as accurate as possible given my limited resource).

The formula is:

Where x is temperature increase in Celcius

P2 = P1 - (P1 x V1 x T1)/(x+T1)xV1

P is in Pascals
V in any metric unit
T is in kelvin

A bit about me, I have a Degree in Marketing and Economics but work in the Gas Industry.

Any feed back would be appreciated

Cheers
What is P2 in your formula?
 
nasu said:
What is P2 in your formula?

P2 is the the New Pressure as a result of the temperature change.
 
Then you have a problem. It seems that if x=0 (so no change in temperature) the final pressure is zero.
 
nasu said:
Then you have a problem. It seems that if x=0 (so no change in temperature) the final pressure is zero.

That would be correct as no change in temperature will mean no change in pressure as there is no expansion (or contraction) of the gas. The formula calculates the effect of temp on pressure in a vessel.
 
Phil31 said:
That would be correct as no change in temperature will mean no change in pressure as there is no expansion (or contraction) of the gas. The formula calculates the effect of temp on pressure in a vessel.
My mistake i see wgat you are saying now will check that
 
nasu said:
Then you have a problem. It seems that if x=0 (so no change in temperature) the final pressure is zero.

Just checked and you end up with P2 being equal to p1. Am i missing something?
 
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