Applied Physics RET 2274 Respiratory Therapy Theory I Module 1.0 States of Matter Three Primary States of Matter Solid Liquid Gas States of Matter Solid Atoms are kept in place by strong mutual attractive forces and are limited to backand-forth motion about a central position States of Matter Liquid Atoms are kept in place by mutual attraction (much weaker than that of solids) and can move about freely and can take the shape of their container – capable of flow. Like solids, liquids are dense and cannot easily be compressed States of Matter Gas Molecular attractive forces are very weak and their movement is rapid and random with frequent collisions. Gases have no inherent boundaries and are easily compressed and expanded. Like liquids, gases can flow. Liquids and gases are considered fluids. Temperature Scales Absolute Zero The concept that a temperature exists at which there is no kinetic energy (energy of motion) – exists in theory only Kelvin (K) Zero degrees K = absolute zero Freezing point of water = 273 K Boling point of water = 373 K Temperature Scales Celsius (C) Freezing point of water = 0º C Boiling point of water = 100º C Note: To covert degrees Celsius to degrees Kelvin, simply add 273 Example: 25º C = 25 + 273 = 298º K Temperature Scales Fahrenheit Freezing point of water = 32º F Boiling point of water = 212º F To covert degrees Fahrenheit to degrees Celsius, use the following formula ºC = 5/9 (ºF – 32) To covert degrees Celsius to degrees Fahrenheit, use the following formula ºF = (9/5 x ºC) + 32 Temperature Scales Linear relationship between gas molecular activity, or pressure, and temperature. The graph shows comparable readings on three scales for five temperature points Freezing point of water Boiling point of water Change of State Liquid-Solid Phase Changes The changeover from the solid to liquid state is called MELTING The temperature at which solid change to liquid is called the MELTING POINT Change of State Liquid-Solid Phase Changes The changeover from the liquid to solid state is called FREEZING; it is the opposite of melting The FEEZING POINTS and MELTING POINTS of a substance are the same Change of State Liquid-Vapor Phase Changes As the temperature of a liquid increases, its state changes to VAPOR Change of State Liquid-Vapor Phase Changes This change of state is called VAPORIZATION Two different forms of vaporization BBOILING EVAPORATION Change of State Liquid-Vapor Phase Changes Boiling occurs at the BOILING POINT The boiling point of a liquid is the temperature at which its vapor pressure equals atmospheric pressure – its molecules must have enough kinetic energy to force themselves into the atmosphere against the opposing pressure Change of State Liquid-Vapor Phase Changes Boiling occurs at the BOILING POINT The boiling point of liquid oxygen at 1 atmosphere pressure is -183º C Change of State Liquid-Vapor Phase Changes EVAPORATION is when a liquid changes into a gas at temperatures lower than its boiling point After water is converted to a vapor, it acts like any gas. This invisible gaseous form of water is called MOLECULAR WATER Change of State Liquid-Vapor Phase Changes When a gas is fully saturated with water vapor, slight cooling of the gas causes its water vapor to turn back into the liquid state, a process called CONDENSATION The temperature at which condensation begins is called the DEW POINT Changes of State Critical Temperature The highest temperature at which a substance can exist as a liquid Critical Pressure The pressure needed to maintain equilibrium between the liquid and gas phases of a substance at its critical temperature A typical phase diagram. The dotted green line gives the anomalous behavior of water Phase Diagram Properties of Liquids Pressure in Liquids Liquids exert pressure The pressure exerted by a liquid depends on both its height (depth) and weight density (weight per unit volume) Pascal’s principle. Liquid pressure depends only on the height (h) and not on the shape of the vessel or the total volume of liquid. (Modified from Nave CR, Nave BC: Physics for the health sciences, ed 3, Philadelphia, 1985, WB Saunders.) Properties of Liquids Buoyancy Liquids exert buoyant force because the pressure below a submerged object always exceeds the pressure above it. The upward buoyant force will overcome gravity, and the object will float Properties of Liquids Buoyancy Gases also exert buoyant force, which helps keep solid particles suspended in gases Blue and white smoke ascending Properties of Liquids Viscosity Viscosity is the force opposing a fluid’s flow; viscosity in fluids is like friction in solids A fluids viscosity is directly proportional to the cohesive forces between it molecules; the stronger the cohesive forces, the greater is the fluid’s viscosity Properties of Liquids Viscosity The greater a fluid’s viscosity, the greater is its resistance to deformation and the greater is its opposition to flow Properties of Liquids Viscosity The greater the viscosity of a fluid, the more energy is needed to make it flow Example: When there is an increase in red blood cells (polycythemia), the heart must work harder to circulate the blood because it is more viscous Properties of Liquids Laminar Flow When fluids move in discrete cylindrical layers called streamlines Properties of Liquids Laminar Flow The difference in the velocity among these concentric layers is called shear rate The pressure pushing or driving the fluid is called shear stress Properties of Liquids Cohesion and Adhesion The attractive force between like molecules is called cohesion Properties of Liquids Cohesion and Adhesion The attractive forces between unlike molecule is adhesion Properties of Liquids Cohesion and Adhesion The shape of the meniscus depends on the relative strengths of adhesion and cohesion. A, Water; adhesion stronger than cohesion. B, Mercury; cohesion stronger than adhesion Properties of Liquids Surface Tension The force exerted by like molecules at a liquid’s surface Properties of Liquids Surface Tension The force of surface tension in a drop of liquid. Cohesive force (arrows) attracts molecules inside the drop to one another. Cohesion can pull the outermost molecules inward only, creating a centrally directed force that tends to contract the liquid into a sphere Properties of Liquids Surface Tension The lungs resemble clumps of bubble, it follows therefore that surface tension plays a key role in the mechanics of ventilation Abnormalities in alveolar surface tension occur in certain clinic conditions, e.g., infant respiratory distress syndrome Properties of Liquids Surface Tension Laplace’s Law: In a liquid sphere, the pressure required to distend the sphere is directly proportional to the surface tension of the liquid and inversely proportional to the sphere’s radius Properties of Liquids Surface Tension Laplace’s relationship. Two bubbles of different sizes with the same surface tension. Bubble A, with the smaller radius, has the greater inward or deflating pressure and is more prone to collapse than the larger bubble B. Because the two bubbles are connected, bubble A would tend to deflate and empty into bubble B. Conversely, because of bubble A’s greater surface tension, it would be harder to inflate than bubble B. Equation for liquid bubble P = 4ST r P = distending pressure ST = surface tension r = spherical radius Properties of Gases Gases share many properties with liquids Gases: Exert pressure Capable of flow Exhibit the properties of viscosity However, unlike liquids, gases are readily compressed and expanded and fill the spaces available to them through diffusion Properties of Gases Gaseous Diffusion Diffusion:The process whereby molecules move from areas of high concentration to areas of lower concentration Kinetic Energy: The driving forced behind diffusion. Because gases have high kinetic energy, they diffuse most rapidly Note: Because diffusion is based on kinetic activity, anything that increases molecular activity will quicken diffusion, e.g., heating Properties of Gases Gaseous Diffusion Graham’s Law: The rate of diffusion of a gas (D) is inversely proportional to the square root of its density: Lighter gases diffuse rapidly, whereas heavy gases diffuse more slowly Properties of Gases Gas Pressure Whether free in the atmosphere, enclosed in a container, or dissolved in a liquid such as blood, all gases exert pressure In physiology, the term tension is often used to refer to the pressure exerted by gases when dissolved in liquids Pressure is a measure of force per unit area PSI: Pounds per square inch (lb/in²) British fps N/m² : Newton per meter squared (Pascal) International System of Units (SI) Properties of Gases Gas Pressure Pressure can also be measured indirectly as the height of column of liquid: Centimeters of water pressure (cm H2O) Millimeters of mercury (mm Hg) Both mercury and water columns are still used in clinical practice, especially when vascular pressures are being measured Properties of Gases Partial Pressure (Dalton’s Law) Many gases exist together as mixtures, for example air, which contain mostly oxygen and nitrogen The pressure exerted by a single gas is called its partial pressure PressureTotal = Pressure1 + Pressure2 ... Pressuren Properties of Gases Partial Pressure (Dalton’s Law Partial Pressure = Fractional concentration x Total atmospheric pressure Approximate Fractional Gas Concentrations of Air Partial Pressures of Gases in Air PO2 = 0.21 x 760 torr = 160 torr PN2 = 0.79 x 760 torr = 600 torr Properties of Gases Composition of Earth’s Atmosphere Properties of Gases Solubility of Gas in Liquids (Henry’s Law) At a constant temperature, the solubility of a gas in a liquid is proportional to the pressure of that gas above the liquid William Henry (chemist) Properties of Gases Solubility of Gas in Liquids (Henry’s Law) Temperature plays an important role in gas solubility High temperatures decrease solubility Low temperatures increase solubility Leave a carbonated drink open and out of the refrigerator and it will quickly go flat Gas Laws Several laws help define the relationship among gas pressure, temperature, mass, and volume Boyle’s Law Charles’ Law Gay-Lussac’s Law Combined Gas Law Gas Laws Boyle’s Law Description Constants Working Formula The volume of a gas varies inversely with its pressure Temperature, mass P1V1 = P2V2 Gas Laws Boyle’s Law Gas Laws Charles’ Law Description Constants Working Formula The volume of a gas varies directly with changes in its temperature Pressure, mass V1 = V2 T1 T2 Gas Laws Charles’ Law Gas Laws Gay Lussac’s Law Description Constants Working Formula The pressure exerted by a gas varies directly with its absolute temperature Volume, mass P1 = P2 T1 T2 Gas Laws Gay Lussac’s Law Gas Laws Combined Gas Law Description Constants Working Formula Interaction of the all the gas laws None P1V1 = P2V2 T1 T2 Gas Laws Combined Gas Law P1V1 = P2V2 T1 T2 Gas Behavior Under Changing Conditions Effects of Water Vapor Water vapor, like any gas, occupies space The dry volume of a gas at a constant pressure and temperature is always smaller than it saturated volume Ptotal - Pwater vapor = Pdry gas Gas Behavior Under Changing Conditions Effects of Water Vapor Correcting from the dry state to saturated state always yields a larger gas volume Pdry gas + Pwater vapor = Ptotal Gas Behavior Under Changing Conditions Effects of Water Vapor Addition of water vapor to a gas mixture always lowers the partial pressures of the other gases present Pc = Fgas x (PT – PH2O) Pc = Corrected gas pressure Fgas = The fractional concentration of gas in the mixture P = The water vapor pressure at a given temperature Gas Behavior Under Changing Conditions Critical Temperature The highest temperature at which a substance can exist as a liquid Critical Pressure The pressure needed to maintain equilibrium between the liquid and gas phases of a substance at its critical temperature A typical phase diagram. The dotted green line gives the anomalous behavior of water Gas Behavior Under Changing Conditions Phase Diagram Fluid Dynamics Both liquids and gases can flow Flow is the bulk movement of a substance through space Flow = Movement of a volume per unit of time = L/minute Fluid Dynamics Pressures in Flowing Fluids Flow Resistance Available energy decreases because frictional forces (fluid viscosity, tube wall) oppose fluid flow R = (P1 – P2) Fluid Dynamics Patterns of Flow Laminar Flow Turbulent Transitional Fluid Dynamics Patterns of Flow Laminar Flow During laminar flow a fluid moves in discrete cylindrical layers or streamlines Fluid Dynamics Patterns of Flow Laminar Flow Poiseuille’s Law: For fluids flowing in a laminar pattern, the driving pressure will increase whenever the fluid viscosity, tube length, or flow increases; greater pressure is required to maintain a given flow if the tube radius is decreased P = 8nl _ r4 Fluid Dynamics Patterns of Flow Turbulent Flow Under certain conditions, fluid molecules may form irregular eddy currents in a chaotic pattern called turbulent flow Fluid Dynamics Patterns of Flow Turbulent Flow Reynold’s Number >3000 = Turbulent 2000 – 3000 = Transitional <2000 = Laminar Fluid Dynamics Patterns of Flow Transitional Flow Mixture of laminar and turbulent flow Flow in the respiratory tract is mainly transitional Fluid Dynamics The Bernoulli Effect As a fluid flows through a constriction, its velocity increases and its lateral pressure decreases Fluid Dynamics The Bernoulli Effect According to the Bernoulli theorem, a flowing fluid’s lateral pressure must vary inversely with its velocity. a, Flow in tube “a”; va, velocity in tube “a”; vb, velocity in tube “b”; b, flow in tube “b”; Pa, lateral wall pressure in tube “a”; Pb, lateral wall pressure after restriction Fluid Dynamics Fluid Entrainment When a flowing fluid encounters a very narrow passage, its velocity can increase greatly and cause the fluid’s lateral pressure to fall below that exerted by the atmosphere and pull another fluid into the primary flow stream Fluid Dynamics Fluid Entrainment The amount of air entrained depends on both the diameter of the jet orifice and the size of the air entrainment ports Fluid Dynamics Fluids and the Coanda Effect The amount of air entrained depends on both the diameter of the jet orifice and the size of the air entrainment ports Fluid Dynamics Fluids and the Coanda Effect Is the tendency of a fluid jet to stay attached to an adjacent curved surface that is very well shaped