Consider the intermolecular interaction potential shown below

Slides:



Advertisements
Similar presentations
Inflection Points and the Second Derivative
Advertisements

Real Gases. The ideal gas equation of state is not sufficient to describe the P,V, and T behaviour of most real gases. Most real gases depart from ideal.
Compiled by: Gan Chin Heng / Shermon Ong 07S06G / 07S06H
An old friend with a new twist!
Chemical Thermodynamics 2013/ nd Lecture: Zeroth Law, Gases and Equations of State Valentim M B Nunes, UD de Engenharia.
Ideal Gases and the Compressibility Factor 1 mol, 300K for various gases A high pressure, molecules are more influenced by repulsive forces. V real.
The non-Ideal Reality of Gases CM2004 States of Matter: Gases.
The Hartree-Fock-Roothaan Method. Variational Principle.
Deep and Wide: Domain & Range
Real gases 1.4 Molecular interactions 1.5 The van de Waals equation 1.6 The principle of corresponding states Real gases do not obey the perfect gas law.
Chemistry 231 Real Gases. The ideal gas equation of state is not sufficient to describe the P,V, and T behaviour of most real gases. Most real gases depart.
Interatomic Binding Quark binding in nuclear particles Radioactive β-decay Celestial mechanics, Structure of the universe Atomic forces, binding, Optics,
Real gas 1.molecules not always in motion (condense phase can be formed) 2.molecular size is non-negligible (there is molecular repulsion) 3.Molecules.
Dr.Salwa Al Saleh Thermal Physics 2009 Dr.Salwa Al Saleh
Copyright © Cengage Learning. All rights reserved. 3 Applications of the Derivative.
1 f ’’(x) > 0 for all x in I f(x) concave Up Concavity Test Sec 4.3: Concavity and the Second Derivative Test the curve lies above the tangentsthe curve.
Concavity f is concave up if f’ is increasing on an open interval. f is concave down if f’ is decreasing on an open interval.
In this section, we will investigate some graphical relationships between a function and its second derivative.
2.1.  Remember that the first derivative test will tell where a function is increasing or decreasing.
76.8 – Average Rate of Change = = -9 = – Average Rate of Change = = -9 =
Quark binding in nuclear particles Radioactive β-decay Celestial mechanics, Structure of the universe Atomic forces, binding, Optics, electricity,... Binding.
Section Continuity. continuous pt. discontinuity at x = 0 inf. discontinuity at x = 1 pt. discontinuity at x = 3 inf. discontinuity at x = -3 continuous.
Ch  The opposition to the motion of charge in a conductor.  For most metals, resistance is constant over a wide range of applied potential differences.
M 112 Short Course in Calculus Chapter 1 – Functions and Change Sections 1.1 – What is a Function? V. J. Motto.
Real Gases. The ideal gas equation of state is not sufficient to describe the P,V, and T behaviour of most real gases. Most real gases depart from ideal.
GASES.
Advance Chemical Engineering Thermodynamics By Dr.Dang Saebea.
Right Hand Thumb Rule Quick Review 1) How is a solenoid like a bar magnet? 2) Draw a diagram using correct symbols showing a current carrying.
Physical Property Modeling from Equations of State David Schaich Hope College REU 2003 Evaluation of Series Coefficients for the Peng-Robinson Equation.
Number Lines. How to Read Number Lines 0 Arrows: The arrows on either end indicate that numbers increase or decrease infinitely. Numbers: Numbers are.
Applications of Intermolecular Potentials. Example 1. A gas chromatograph is to be used to analyze CH 4 -CO 2 mixtures. To calibrate the response of the.
Boyle's Law For a fixed amount of gas at constant temperature,
Ideal Gas Law Chapter Ideal Gas Law The ideal gas law combines: –pressure –temperature –volume –# of particles (amount)
Pressure – Volume – Temperature Relationship of Pure Fluids.
The Boltzmann Distribution allows Calculation of Molecular Speeds Mathematically the Boltzmann Distribution says that the probability of being in a particular.
Gas Laws and Practical Applications Z.A. Mason-Andrews BSc. (Hons), Dip.Ed.
Thermal Physics 3.2 Modelling a gas. Understanding  Pressure  Equation of state for an ideal gas  Kinetic model of an ideal gas  Mole, molar mass,
SECT 3-8B RELATING GRAPHS Handout: Relating Graphs.
Section Continuity 2.2.
The Ideal Gas Law. 2 Ideal Gas Definition Ideal Gas: a hypothetical gas composed of particles that have zero size, travel in straight lines, and have.
GASES. Gases  The physical state of gases is defined by several physical properties  Volume  Temperature  Amount (commonly expressed as number of.
Properties of Gases. Basic features Free move and fill any container it occupies homogeneously, continuously, and uniformly Collection of molecules (or.
Thermal Physics 3.2 Modelling a gas. Understanding  Pressure  Equation of state for an ideal gas  Kinetic model of an ideal gas  Mole, molar mass,
공정 열역학 Chapter 3. Volumetric Properties of Pure Fluids
The Ideal Gas Law Ideal Gas  Follows all gas laws under all conditions of temperature and pressure.  Follows all conditions of the Kinetic Molecular.
THE STATES OF GASES Chapter 1.
Prepared By: Bhadka Ravi H. Guided By: Mr. P. L. Koradiya
OPTIMIZATION IN BUSINESS/ECONOMICS
Chapter 1. Properties of Gases
PIECEWISE FUNCTIONS.
Properties of Gases Kinetic Molecular Model Speed of gas
Second-order phase transitions
مبررات إدخال الحاسوب في رياض الأطفال
Modified by Jed Macosko
Applications of Differential Calculus
Assume that we have an ideal gas, i.e., non-interacting particles,
Satish Pradhan Dnyanasadhana college, Thane
Partial Molar Variables, Chemical Potential, Fugacities, Activities, and Standard States Partial molar thermodynamic variables with respect to species.
Thermal & Kinetic Lecture 17
1 2 Sec 4.3: Concavity and the Second Derivative Test
Thermodynamic Energy Balances in Solids
Graphing Notes.
Deep and Wide: Domain & Range
21twelveinteractive.com/ twitter.com/21twelveI/ facebook.com/21twelveinteractive/ linkedin.com/company/21twelve-interactive/ pinterest.com/21twelveinteractive/
Categories (independent)
Intro To Integers.
Derivatives and Graphing
Rate of Change and Slope
7th Grade Unit1 Operations with RationalNumbers
Assume that we have an ideal gas, i.e., non-interacting particles,
Presentation transcript:

Consider the intermolecular interaction potential shown below Consider the intermolecular interaction potential shown below. Which part of the potential dominates at which temperature regime? Low T: repulsion; high T: attraction. Low T: attraction; high T: repulsion. The dominant contribution is independent of T, it is always the repulsive part. The dominant contribution is independent of T, it is always the attractive part.

Consider the intermolecular interaction potential shown below Consider the intermolecular interaction potential shown below. Which part of the potential dominates at which temperature regime? Low T: repulsion; high T: attraction. Low T: attraction; high T: repulsion. The dominant contribution is independent of T, it is always the repulsive part. The dominant contribution is independent of T, it is always the attractive part.

What describes the critical point mathematically? The first derivative of the critical isotherm is zero. The first and the second derivative of the critical isotherm are both zero. The second and the third derivative of the critical isotherm are both zero.

What describes the critical point mathematically? The first derivative of the critical isotherm is zero. The first and the second derivative of the critical isotherm are both zero. p(V) is flat (dp/dV = 0) and has an inflection point (d2p/dV2=0) The second and the third derivative of the critical isotherm are both zero.