GasLaws, Physics, and Math Flashcards
Molecular Theory of Matter
states that matter is made of minute particles called molecules, that exist in various states (solid, liquid, or gas).
Kinetic Theory of Matter
states that molecules are in constant motion (random motion) and have a degree of attraction between them called van der waals forces.
Critical Temperature
the temp. above which a gas cannot be liquefied regardless of how much pressure is applied
Avagadro’s Hypothesis
Avagadro hypothesized that if you had 2 different containers containing 2 different gases at the same temp and pressure, then they contain the same number of molecules
Avagadro’s Number
1 mole - contains 6.02 x 10^23 molecules
What is one mole equivalent to?
One mole is one gram multiplied by the molecular weight: e.g. 1 mole 02 = 32 grams.
One mole of any substance occupies how many liters?
22.4 liters so: 6.02 x 1023 molecules of 02 = 32 grams and occupies 22.4 L.
Calibration of vaporizers are done using what?
Give an example using sevo
Avagadro’s Hypothesis
- Molecular weight of Sevoflurane is 200, so 200 g Sevo is 1 mole, and would occupy 22.4L at s.t.p.
- If we put 20g of Sevo (0.1 mole) into a vaporizer, and allow it all to vaporize, it would occupy 2.24 liters
Universal Gas Constant
By combining the perfect gas laws with Avagadro’s hypothesis we arrive at the following equation:
PV/T = Constant (k4), for any given quantity of gas
Boyle’s Law
The volume of an ideal gas is inversely proportional to the pressure—Thus as pressure ↑ the volume ↓
V = 1/P
temperature held constant
Application of Boyle’s Law with a reservoir bag
Applying pressure (squeezing it) causes the volume to decrease
Application of Boyle’s Law with an E cylinder
The relatively small volume of gas in the cylinder is at high pressure. When it is released to the atmosphere where there is a relatively low pressure, a large volume results
Pressure ↓ and Volume ↑
Application of Boyle’s Law with spontaneous breathing
When intrapulmonary pressure becomes negative (decreases), intrapulmonary volume increases
Application of Boyle’s Law with bellows on the ventilator
As pressure increases, the volume within the bellows decreases
Charles’ Law
Charles’s Law states that the volume of a given gas is directly proportional to the Kelvin Temperature provided the amount of gas & the pressure remains constant : V/T
temperature ↑ the volume ↑
Gay-Lussac’s Law
At constant Volume, the pressure of a gas sample is directly proportional to the Kelvin Temperature.
Thus as the temperature ↑ the pressure ↑
Application of Gay-Lussac’s Law
A full cylinder of compressed gas is moved from the air conditioned hospital (70 degrees) to the loading dock (100 degrees Fahrenheit)- What happens to the pressure in the cylinder???
-increased pressure
What remains constant in Boyle’s Law?
temperature
What remains constant in Charles’?
pressure
What remains constant in Gay-Lussac’s Law?
volume
Universal (Ideal) Gas Law
PV = nRT
Application of the Ideal Gas Law with a cylinder
As a cylinder of compressed gas empties, the pressure falls-
The cylinder has a constant volume. The number of moles (n) of gas decreases as gas exits the cylinder, so Pressure decreases
Dalton’s Law
states that in a mixture of gases, the pressure exerted by each gas is the same as that which it would exert if it alone occupied the container.
Application of Dalton’s Law using air
760 mmHg x 21% = 160mmHg, this is the partial pressure of Oxygen in the container
What is the partial pressure for nitrogen?
760mmHg x 79% = 600mmHg
Application of Dalton’s Law using a combination of inhaled anesthetic
Commonly used agents might be:
50% N20 .5x760
+ 44% O2 .44x760
+ 6% Desflurane .06x760
100% Mix to patient = 1.0 x760
What is MAC
the concentration of the vapor (measured as a percentage at 1 atmosphere, i.e the partial pressure) that prevents the reaction to a standard surgical stimulus in 50% of subjects.
What is physiologically important, the partial pressure or concentration?
The partial pressure (mm Hg), not the concentration. This is important to remember because atmospheric pressure changes. The concentration may change to keep the same partial pressure of an agent at a different atmospheric pressure
Fick’s Law of Diffusion
Vgas=
Area x Solubility x Partial pressure difference/
Molecular Wt x Distance
Clinical application of Fick’s Law - 2nd gas effect
high inspired concentration of a first gas (N2O) accelerates uptake of a companion gas
Clinical application of Fick’s Law - Concentration Effect
Uptake of high volumes of N2O concentrates the remaining 2nd gas
Graham’s Law
A gas diffuses at a rate that is inversely proportional to the square root of its molecular weight
Thus as molecular weight ↑ the rate of diffusion ↓
Henry’s Law
The amount of gas dissolved in a liquid is directly proportional to the partial pressure of the gas in contact with the solution
What is an application of Henry’s Law?
Allows calculation of O2 and CO2 dissolved in blood.
What is the solubility coefficient of O2? (its a constant)
.003ml/100ml blood/mmHg partial pressure
What is the solubility coefficient of CO2? (its a constant)
.067 ml/100ml blood/mmHg partial pressure