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Fluid dynamics

Principles of Chemistry Chapter 5

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Chapter 5: Gases Section 5.2: Pressure Sunday, October 19, 2014 12:43 PM Pressure = Force / Area ? **note: atmospheric pressure is caused by the weight of air molecules as they are attracted by gravity (hence why pressure decreases as altitude decreases) ? Measuring Pressure ? Barometer - device that measures atmospheric pressure Long tube filled with mercury, essentially you pour the mercury out of the tube until it stops because the mercury creates a seal and a vacuum in the closed end of the tube -pressure decreases cause the mercury seal to fall lower -pressure increases cause the mercury seal to fall higher ? Units of Pressure ? Pascal - (Pa) unit for pressure, equal to one Newton / meter squared --> Force / area

Chapter 11

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Kinetic Theory Of Gases Postulates of the Kinetic Theory of Gases: A gas consists of a large number of tiny particles that are in constant, random motion The gas particles occupy a net volume so small in relation to the volume of their container that their contribution to the total volume can be ignored The collisions between particles and the walls of the container are perfectly elastic (no energy transfer) Kinetic Theory of Gases relates temperature to average kinetic energy Kinetic Theory of Gases (aka Kinetic Molecular Theory) can be used to explain the Gas Laws: Pressure-Volume Relationship (Boyle?s Law) P? 1/V or V ? 1/P (at constant n, T) Pressure-Temperature Relationship (Guy-Lussac?s Law) ?T, ?v ?v, ?P Volume-Temperature Relationship (Charles?s Law)

Bob Jones PPT Notes -- Chapter 10a

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Properties of Gases Kinetic Theory of Gases Many independent particles Random motion at high speed Separated by great distances Kinetic Theory of Gases Interact only when they collide 5. Elastic collisions Physical Properties of Gases Diffusion Effusion Permeability Compressibility Expansibility Diffusion spontaneous mixing due to particle motion Effusion gas particles passing through a tiny opening into an evacuated area Both diffusion and effusion are directly related to the speed of the gas molecules. rate of effusion for gas 1 Graham?s Law of Effusion rate of effusion for gas 2 = molar mass2 molar mass1 molar massN = 28.02 g/mol Sample Problem 1 Calculate the ratio of effusion rates between nitrogen (N2) and Argon (Ar). molar massAr = 39.95 g/mol rate of effusion for gas 1

Chapter 5

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Chapter 5 ? Gases 5.1- Pressure ~Barometer ? Measures atmospheric pressure. Invented in 1643 Units of Pressure ~Manometer ? instrument used for measuring pressure. MmHg / Torr ~ Standard atmosphere : 1 atm = 760 mmHg = 760 Torr = 101325 Pa 5.2 The Gas Laws of Boyle, Charles, and Avogadro Boyle?s Law- Pressure and volume are INVERSELY PROPORTIONAL P goes up V goes down P1V1 = P2V2 Charles Law- As T increases V increases V1/ T1 = V2/ T2 ~ K = `C + 273 ~ Pgas = Patm + Ph in an open ended manometer Gay- Lussac?s Law- P1/T1 = P2/T2 Avogadro?s Law- V1/n1 = V2/n2 Combined gas law- P1V1/n1T1 = P2V2/n2T2 Ideal Gas Laws- PV = nRT ~Kinetic Molecular Theory of Gases consant motion and perfectly elastic gas molecules do not attract or repel

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WORK, ENERGY, AND POWER Objective: 82 ? Describe the relationship between force, displacement, and work change in an object's motion is related to both force and how long it acts net force x distance = WORK WORK = the product of the NET FORCE an object and the DISTANCE through which the object is moved the heavier the load or higher something is lift, the more we do WORK IS DONE WHEN A FORCE ACTS ON AN OBJECT AND THE OBJECT MOVES IN TEH DIRECTION OF THE FORCE EXAMPLE: If we lift TWO loads up one story, we do TWICE as much WORK as we would in lifting one load the same distance because the FORCE needed to lift TWICE the weight is twice as great, and if we lift one load two stories instead of one story, we do twice as much work because the DISTANCE is twice as great

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WORK, ENERGY, AND POWER Objective: 82 ? Describe the relationship between force, displacement, and work change in an object's motion is related to both force and how long it acts net force x distance = WORK WORK = the product of the NET FORCE an object and the DISTANCE through which the object is moved the heavier the load or higher something is lift, the more we do WORK IS DONE WHEN A FORCE ACTS ON AN OBJECT AND THE OBJECT MOVES IN TEH DIRECTION OF THE FORCE EXAMPLE: If we lift TWO loads up one story, we do TWICE as much WORK as we would in lifting one load the same distance because the FORCE needed to lift TWICE the weight is twice as great, and if we lift one load two stories instead of one story, we do twice as much work because the DISTANCE is twice as great

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WORK, ENERGY, AND POWER Objective: 82 ? Describe the relationship between force, displacement, and work change in an object's motion is related to both force and how long it acts net force x distance = WORK WORK = the product of the NET FORCE an object and the DISTANCE through which the object is moved the heavier the load or higher something is lift, the more we do WORK IS DONE WHEN A FORCE ACTS ON AN OBJECT AND THE OBJECT MOVES IN TEH DIRECTION OF THE FORCE EXAMPLE: If we lift TWO loads up one story, we do TWICE as much WORK as we would in lifting one load the same distance because the FORCE needed to lift TWICE the weight is twice as great, and if we lift one load two stories instead of one story, we do twice as much work because the DISTANCE is twice as great
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