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Physics – insights. Dr. S. Parthasarathy MD., DA., DNB, MD ( Acu ), Dip. Diab.DCA , Dip. Software statistics PhD ( physio ) Mahatma gandhi medical college and research institute, puducherry , India. Definitions.
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Physics – insights Dr. S. Parthasarathy MD., DA., DNB, MD (Acu), Dip. Diab.DCA, Dip. Software statistics PhD (physio) Mahatma gandhi medical college and research institute, puducherry, India
Definitions • What is a gas?A gas is a substance that is in its gaseous phase, but is above its critical temperature. Critical temperature is the temperature above which a gas cannot be liquefied no matter how high the pressure. A vapouris a substance in the gaseous phase but is below its critical temperature.
For example • 20 degrees – gas – apply 50 PSI – liquifies • 30 degrees gas – apply 500 PSI – liquifies • 36.1 degrees – apply any PSI does not • 36 – critical temperature
Pressure, volume and temperature • Pressure = f/a • Units = 1 bar = 1 atm = 100 kpa = 760 mmHg= 14.7 PSI • 138 bar = 2000 psi • Temperature – units – 00 C = 320F = 2730k • Volume == litres or Cubic cm ( cc = ml)
There are some gas laws which inter relate the three variables • Boyle’s law • “For a fixed mass of gas at constant temperature, the pressure is inversely proportional to the volume” P is proportional to 1 / V or PV = K
Application in anaesthetic practice Oxygen cylinder of volume 10 L, molybdenum steel – 138 bars. So how much oxygen is stored ? P1V1 = P2V2 138*10 = 1*V2 So, V2 = 1380 L
Transfer • 100 bar – 15 litre cylinder • P1 V1 = P2V2 one • 1500 litres of oxygen • 5 litres / minute --- 300 minutes approx
Charles law • “For a fixed mass of gas at a constant pressure, the volume is directly proportional to the temperature” V is proportional to T or V / T = K
Charles’ Law (Temperature-Volume Law)Gas volume varies directly with temperature at a constant pressure V1/T1=V2/T2
Application of charles law • Respiratory gas measurements of tidal volume & vital capacity etc are done at ambient temperature while these exchanges actually take place in the body at 37 OC.
Pressure law- Gay lussac law • “For a fixed mass of gas at a constant volume, the pressure is directly proportional to the temperature” P is proportional to T or P / T = K
Cylinders are kept in high temperature?? • Volume same • Pressure raises to explode • Molybdenum steel can withstand 210 bars , if there is any damage , temperature rise ??
Universal gas law • PV = nRT • Look at the gauge of the oxygen cylinder • Pressure • Volume, R, temperature constant • P ∝ n • Look at the gauge and tell • But for nitrous ??
Is there a pneumonic ?? • Pakistan Tele Vision -- Can Be Good • P constant – C • T constant – B • V constant – G
Avogadro’s hypothesis • Equal volumes of gases, under the same conditions of temperature and pressure, contain equal numbers of molecules. • One mole of a gas • Oxygen (O2) = 32 • 32 grams of oxygen will have 6.022 * 1023 atoms
If we describe in volume • One mole of a gas will occupy 22.4 litres • Gram molecular weight –( Oxygen – 16 ) =O2- 32 • i.e 44 gm of CO2, 2 gram of hydrogen, 32 gm. O2, • Will occupy ?? • 22.4 litres
Take sevoflurane as example • MW = 200 • i.e. 200 gm of sevo will occupy 22.4 litres • 20 gm = 2.24 litres • flow of oxygen through vaporizer of 224 litres this 2.24 will be 1 %
Nitrous oxide ?? • N2O is stored in cylinder as liquid. • Exists partly as liquid and partly as gas. • So customary to weigh the cylinder along with its contents. • From known cylinder wt. and measured wt. amount of N2Oand usage is found out using Avogadro’s hypothesis
E.g. Wt of cylinder with N2O - 5.6kg Tare wt. - 4.5kg So, wt of N2O - 1.1kg 44 g of N2O = 22.4 l Therefore 1.1 kg of N2O = = 560 l So, if we give 2 liters of N2O / min, this cylinder will come for 280 min or 4.6 hrs
Dalton’s law • total pressure of a gas mixture was the sum of the pressures of each of the gases if they were to exist on their own. • P = p1+p2+p3….. • If a cylinder of air = 100 kPa • Nitrogen is 79 kPa and oxygen 21 kPa Entonox 100 kPa == ??
Dalton’s law • What is the partial pressures of O2 and N2O if you are administering a ratio of 70/30? N20 70% X 760 mmHg = 532 mmHgO2 30% X 760 mmHg = 228 mmHg 760 mmHg • Would this differ if you were administering anesthesia at Ooty General Hospital? N20 70% X 630 mmHg = 441 mmHgO2 30% X 630 mmHg = 189 mmHg 630 mmHg
Graham’s law of diffusion • rate of diffusion was inversely proportional to the square root of the molecular mass of the gas Applications: • Flow meters: each gas with its own phy property must pass through its own calibrated flow meter. • Rate of diffusion is slower in liquids and thus local anaesthetics, if not injected in close proximity to the nerve fibre will not be effective. • Helium, a lighter gas is used in airway obstruction to improve diffusion and gas exchange
Gas B more mass than A • A will effuse out of the alveolus quicker than B, leaving behind more of B and so raising its concentration. • for example, halothane is more massive than nitrous oxide, • Graham’s law will indicate that the nitrous will diffuse quicker and so raise the concentration of the halothane in the alveolus.
Fick law • Diffusion – concentration gradient pressure gradient 1. DLCO 2. vapour into circuits 3. Nitrous into cuffs and air filled cavities Carbondioxide is 20 times more soluble than oxygen – membrane defects affect oxygenation
Henry’s Law • Henry’s law states that for a gas-liquid interface the amount of the gas that dissolves in the liquid is proportional to its partial pressure. • So Henry’s law helps to predict how much gas will be dissolved in the liquid. • The actual amount also depends on the solubility of the gas.
Adiabatic expansion • Adiabatic, when applied to expansion or compression of a gas, means that energy is not added or removed when the changes occur. • Compression of gas – temperature rises • Expansion of gas – temperature falls • Think there are no pressure regulators in Boyle s machine
Reynolds number • whether flow is laminar or turbulent Where – Reynold’s number density of fluid v – velocity of fluid d – diameter of tube and – viscosity of fluid
Reynold s number • Reynold s number of 2000 – borderline • When • Re < 2000 – laminar • Re > 2000 – turbulent • Viscosity is the important property of laminar flow • Density is the important property of turbulent flow • Reynold’s number of 2000 delineates laminar from turbulent flow
Applications of reynold number • 1- undersized ETT may cause a tremendous decrease in the flow of gases • 2- Every piece of anaesthetic equipment; because of diameters & shape of connectors,FGF affected • 3- In respiratory tract obstruction, oxygen – helium mixtures are given to reduce density and improve the flow. • 4- Laminar flow during quiet breathing is changed to turbulent during speaking & coughing- dyspnea. • Flow meter – low flows – laminar flow – density • High flows – turbulent flow – viscosity
Roughly speaking • Numerical value for critical value in l/min for O2 + N2O is same as ID of ETT in mm. • Flow changes to turbulent from laminar. • Flow – 5 litres , ok for 5 mm ID ET tube
Hagen poiseille equation • Flow – Q is determined by a few factors
Pressure bags and height • Viscosity of common infusions: • 1.0 centipoise - Lactated Ringers • 4.0 cP- Hetastarch • 40.0 cP- 5% albumin • Warming decrease viscosity
Joule-Thompson Effect • When a compressed gas is allowed to escape freely into an open space, cooling occurs. • Condensation of water or frost may accumulate on the cylinder valve. • A cryoprobe operates on the Joule-Thompson effect.
(Joule-Thompson Effect) • As gas escapes from a N2O cylinder, the liquid N2O in the cylinder vaporizes. • Heat is lost as the liquid vaporizes (latent heat of vaporization) • the temperature in cylinder falls Hot summer – what is necessary ??
Bernoulli principle • An increase in the flow velocity of an ideal fluid will be accompanied by a simultaneous reduction in its pressure. Kinetic + potential = same
Venturi • The effect by which the introduction of a constriction to fluid flow within a tube causes the velocity of the fluid to increase, therefore, the pressure of the fluid to fall.
Venturi -- clinical uses • Suction • Scavenging • Venturi mask • Nebulizers • Checking Bains circuit
Coanda effect • This effect was named after a Romanian aircraft designer Henri Coanda, after an aircraft he designed went up in flames as a consequence of this effect.
Coanda Effect If a constriction occurs at bifurcation because of increase in velocity and reduction in the pressure, fluid (air, blood) tends to stick to one side of the branch causing maldistribution.
Coanda effect • Mucus plug at the branching of tracheo-bronchial tree may cause maldistribution of respiratory gases. • Unequal flow may result because of atherosclerotic plaques in the vascular tree • Fluid logic used in ventilators employs this principle to replace valves or mobile parts.
Boyle law, charles law , Gay lussac, universal • Graham s law • Fick law • Bernoulli and venturi • Reynold number • Poiseulli • Joule thomson effect • Coanda effect