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GAS LAWS Dr.R.Selvakumar Asst.Professor, G.R.H.,Madurai. Is it necessary for an Anesthetist to study about the BORING gas laws..? Yes.,of course….. •Better understanding of the behavior of anesthetic gases •Smooth conduct of anesthesia •For the proper use of Boyles machine •To escape from an explosion…! An new oxygen cylinder is being opened.How do you know whether it will last for the entire surgical procedure or not..? Knowing the contents of the cylinder… Relationship between the volume,pressure and temperature O2 N2O Boyle’s law Charles law Gay-Lussac’s law Boyle’s law: At constant temp, volume is inversely proportional to its absolute pressure. Charles law: At constant press, volume is directly proportional to Its absolute temp. Gay-Lussacs law: At constant volume, pressure is directly proportional to its absolute temp. PiVi/Ti = PfVf/Tf Try this calculation…! An O2 cylinder indicates a pressure of 132 atm while being transported in hot weather when the temp is 44C. What pressure will be indicated when it is placed in a cool operation theatre when the temp is 20C? N2O CYLINDERS: 0.67 •Filling ratio •Critical temperature •Why older machine doesn’t have a pressure gauge..? “Wt of N2O in the cylinder/ Wt of H2O,the cylinder can hold” 51 atm 25 atm 18 atm 75atm 94atm 20C -10C -20C 37C 45C PRESSURE IN N2O CYLINDERS ADIABATIC COMPRESSION: When a gas is subjected to sudden compression,heat energy is produced rapidly. If there is no time for dissipation of this heat, the temperature of the system rises enormously. First law of thermodynamics Have you seen ice crystal formation over a cylinder valve if N2O leaks through it? Joule-Thomson effect Joule-Thomson effect: When a compressed gas is allowed free expansion through a narrow opening, the temperature of the surrounding falls rapidly. We often talk about partial pressure when we refer gaseous pressures. What do you mean by that..? Daltons law of partial pressure Daltons law of partial pressure 0 0 0 X/4 x X+x/4 Daltons law: In a mixture of gases having no chemical interaction between them,each constituent gas exerts the same pressure which it would have exerted if it alone had occupied the volume of the mixture,provided the temperature be the same as that of the mixture. Daltons law: It follows that in a mixture of gases, the pressure exerted by each gas is the partial pressure and the pressure of a mixture of gases is the sum of the partial pressures of its constituents. Daltons law: In a mixture of gases, each constituent exerts the same Proportion of total pressure as its volume is to the total volume What happens in an alveoli? alveolus O2 – 100 CO2 – 40 H2O – 47 N2 - 573 O2- 40 vein CO2- 46 H2O- 47 N2- 627 Pulmonary capillary artery O2- 100 CO2- 40 H2O- 47 N2- 573 On the Mount Everest… Altitude – 8800 m ( 29,000 ft ) Atm. Pressure – 240 torr Alveolar O2 – 23 torr PVO2– 40 torr Life is possible only when 100% O2 is supplemented, when PAO2 becomes 153 torr. Try this calculation…! Recently filled D-type N2O cylinder weighs 53.45 kg with Its contents. The tare weight of the cylinder is 24.48 kg. How long will it last if the anesthetist draws 2 lpm of N2O? Avagadros hypothesis Avagadros hypothesis: One gram molecular weight of any gaseous substance will occupy a volume of 22.4L at S.T.P and will contain 6.023 x 1023 number of molecules If you want to give blood rapidly… What will you do? 1.Put a wider gauge canula 2.Increase the drip stand height 3.Use a rapid infusion bag Hagen-Poiseuille formula Hagen-Poiseuille Law: When a fluid flows through a tube, then the quantity of the flow(Q) is 1. Proportional to the pressure difference between the two ends of the tube 2. Proportional to the fourth power of the radius of the tube 3. Inversely proportional to the viscosity of the fluid 4. Inversely proportional to the length of the tube Q = π r4 (P1- P2)/ 8ηl Try to answer these questions..! 1.Why acute bends in the breathing circuits are avoided? 2.What is the rationale behind in giving Helium-O2 mixture for the patients with partial upper respiratory tract obstruction? Flow through tubes… •LAMINAR FLOW •TURBULENT FLOW Reynold’s number “Viscosity affects laminar flow,whereas density affects the Turbulent flow.” What is the common factor among the following..? 1.Gas stove 2. Insect sprayer 3. Venti oxygen mask 4. Nebuliser 5. Ventilator 6. Bunsen burner Have you used a Bunsen burner? Bernoulli’s theorem Clinical application of Bernoulli’s theorem: 0 - + 0 0 DIFFUSER ( VENTURI TUBE ) In the IRCU, you’ve taken O2 for 2 patients from one Flow meter by incorporating a bifurcator in the line: Will both the patients get equal amount of O2? COANDA EFFECT COANDA EFFECT: "That we have written an equation does not remove from the flow of fluids its charm or mystery or its surprise." --Richard Feynman [1964] • Coanda Effect Try to reason out…! 1.Why the rain water takes a globular shape? 2. When the lung decreases in size during expiration how the alveoli remain patent without getting emptied into nearby alveoli? Laplace law Laplace law: The excess pressure inside a spherical gas-liquid interface is equal to twice the co-efficient of surface tension divided by the radius of the interface ΔP= 2γ/ r I think I’ve confused you enough about: 1.Boyle’s law 3.Gay-Lussacs law 5.Daltons law 7.Venturi principle 9.Laplace law 2.Charles law 4.Avagadro hypothesis 6.Law of thermodynamics 8.Joule-Thomson effect 10.Hagen-Poiseuille formula