• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Archived Volume Expansivity of Ideal Gas

  • Thread starter Seph79
  • Start date
1
0
1. Homework Statement
Calculate the volume expansivity, β, for one mole of ideal gas at constant pressure and at room temperature.


2. Homework Equations

β=1/V(dV/dT)

3. The Attempt at a Solution

Bit stumped on this one, I'm guessing they want it in terms of P as P is not specified.
I used equation of state with n=1 giving PV=RT

> V=RT/P

> β=P/RT(dV/dT)

As the temperature and pressure are constant would dV/dt be zero?
Its from here I am stuck :confused: , any help welcome

Thanks
 

DrClaude

Mentor
6,971
3,144
If V=RT/P, then (dV/dt) = R/P for P = const. Therefore
$$
\beta = \frac{1}{V} \left( \frac{d V}{d T} \right) = \frac{P}{RT} \frac{R}{P} = \frac{1}{T}
$$
 

Want to reply to this thread?

"Volume Expansivity of Ideal Gas" You must log in or register to reply here.

Related Threads for: Volume Expansivity of Ideal Gas

Replies
9
Views
16K
  • Posted
Replies
14
Views
3K
  • Posted
Replies
6
Views
546
  • Posted
Replies
1
Views
1K
Replies
0
Views
2K
Replies
8
Views
23K
Replies
4
Views
1K
  • Posted
Replies
2
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top