GREPhysics.NET: GR9277 #46

GR9277 #46

Problem

GREPhysics.NET Official Solution

\prob{46}

Isotherms and coexistence curves are shown in the pV diagram above for a liquid-gas system. The dashed lines are the boundaries of the labeled regions.

Which numbered curve is the critical isotherm?

Thermodynamics $\Rightarrow$ }Critical Isotherm

The critical isotherm is the (constant temperature) line that just touches the critical liquid-vapor region, explained in the next question. The condition for the critical isotherm is $\left(\frac{dP}{dV}\right)_c=0$ and $\left(\frac{d^2P}{dV^2}\right)_c=0$ , where c denotes the critical point.

Alternate Solutions

There are no Alternate Solutions for this problem. Be the first to post one!

Comments

neon37
2010-11-11 23:25:48

Easy way even without knowing anything in physics at all. There is nothing "critical" about 1, 3 -5. Only 2 looks "critical".

droosenoose
2019-10-18 19:49:04

that what I did lol

Reply to this comment

sirenayka
2008-10-14 21:49:48

Answer should be 2.

Reply to this comment

Ning Bao
2008-01-29 11:48:28

Immediately we know that there is ino difference between 3, 4, and 5: their properties are the same. There is also nothing differentiating curve 1 from a curve just above or just below it. Only curve 2 is unique enough to be the anwer.

Reply to this comment

bucky0
2007-11-01 14:48:41

(B) Is the answer

Reply to this comment

Post A Comment!

You are replying to:

(B) Is the answer

Bare Basic LaTeX Rosetta Stone
LaTeX syntax supported through dollar sign wrappers $, ex., $\alpha^2_0$ produces $\alpha^2_0$ .
type this...	to get...
$\int_0^\infty$	$\int_0^\infty$
$\partial$	$\partial$
$\Rightarrow$	$\Rightarrow$
$\ddot{x},\dot{x}$	$\ddot{x},\dot{x}$
$\sqrt{z}$	$\sqrt{z}$
$\langle my \rangle$	$\langle my \rangle$
$\left( abacadabra \right)_{me}$	$\left( abacadabra \right)_{me}$
$\vec{E}$	$\vec{E}$
$\frac{a}{b}$	$\frac{a}{b}$

The Sidebar Chatbox...
Scroll to see it, or resize your browser to ignore it...

All-Solutions List | Latest Comments | Unanswered Questions (Cries for Help!) |::| About

This site is not affiliated with ETS, nor is it officially endorsed (yet) by ETS. This site is the work of an individual named Yosun Chang. The solutions, sans user comments and ETS questions, are © 2005 by Yosun Chang except where noted. All rights reserved. / The comments appending particular solutions are due to the respective users. / Educational Testing Service, ETS, the ETS logo, Graduate Record Examinations, and GRE are registered trademarks of Educational Testing Service. The examination questions are © 1997 and © 2001 by ETS.

Bare Basic LaTeX Rosetta Stone