Understanding Gas Laws

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Questions and Answers

According to Boyle's Law, if the pressure exerted on a gas increases while temperature and mass remain constant, what change will be observed in the volume of the gas?

  • The volume will fluctuate irregularly.
  • The volume will remain constant.
  • The volume will increase.
  • The volume will decrease. (correct)

Charles' Law describes the relationship between which two variables of a gas, assuming constant pressure and mass?

  • Temperature and pressure
  • Volume and temperature (correct)
  • Mass and volume
  • Pressure and volume

According to Gay-Lussac's Law, what happens to the pressure of a gas if the temperature increases while volume and mass are kept constant?

  • The pressure increases. (correct)
  • The pressure fluctuates unpredictably.
  • The pressure decreases.
  • The pressure remains constant.

The Combined Gas Law is useful for scenarios that involve changes in which of the following gas properties?

<p>Pressure, volume, and temperature (D)</p> Signup and view all the answers

What does Dalton's Law of Partial Pressures state regarding the total pressure of a gas mixture?

<p>It is the sum of the partial pressures of each individual gas. (C)</p> Signup and view all the answers

Why might a real gas deviate from behaving ideally, as described by the Ideal Gas Law?

<p>Because it is under conditions of low temperature and high pressure. (C)</p> Signup and view all the answers

In the context of respiratory gases, what causes the change in gas composition from tracheal air to alveolar air?

<p>Oxygen uptake and carbon dioxide removal at the alveolar-capillary membrane (C)</p> Signup and view all the answers

Avogadro's Law states that at the same temperature and pressure, equal volumes of different gases contain the same number of what?

<p>Moles (D)</p> Signup and view all the answers

Which set of conditions is associated with 'STPD' when converting gas volumes?

<p>Standard Temperature, Pressure, Dry (D)</p> Signup and view all the answers

Which adjustment accounts for the pressure exerted by water vapor when applying Dalton's Law to respiratory gases in the lungs?

<p>Subtracting PH2O from the barometric pressure (A)</p> Signup and view all the answers

What is the key factor that differentiates the application of the ideal gas law from the combined gas law?

<p>The ideal gas law involves a universal gas constant. (B)</p> Signup and view all the answers

Why is it necessary to convert temperature to Kelvin when using Charles' Law or Gay-Lussac's Law?

<p>To avoid negative temperature values, which are problematic in gas law calculations. (D)</p> Signup and view all the answers

Under what circumstances is the use of the Ideal Gas Law most appropriate?

<p>Low pressure and high temperature (B)</p> Signup and view all the answers

In the Ideal Gas Law equation, PV = nRT, what does 'n' represent?

<p>Number of moles of gas (C)</p> Signup and view all the answers

Which of the following is a direct application of Dalton's Law of Partial Pressures in respiratory physiology?

<p>Calculating the partial pressure of oxygen in arterial blood. (C)</p> Signup and view all the answers

How does considering water vapor pressure affect the calculation of partial pressures of other gases in a mixture, particularly in the context of respiratory physiology?

<p>It decreases the calculated partial pressures of the other gases. (C)</p> Signup and view all the answers

What is the significance of Avogadro's number in the context of gas laws?

<p>It defines the number of molecules in one mole of a substance. (D)</p> Signup and view all the answers

According to Boyle’s Law, if the initial pressure and volume of a gas are $P_1$ and $V_1$ respectively, what will the new volume ($V_2$) be if the pressure changes to $P_2$, assuming constant temperature and number of moles?

<p>$V_2 = V_1 * (P_1 / P_2)$ (A)</p> Signup and view all the answers

If a container of gas at 27°C is heated to 227°C, what effect will this have on the volume of the gas, assuming the pressure remains constant?

<p>The volume will increase. (D)</p> Signup and view all the answers

If a balloon contains 10L of air at standard temperature and pressure (STP), approximately how many moles of air are in the balloon, given that R = 0.0821 L atm / (mol K)?

<p>0.446 moles (B)</p> Signup and view all the answers

Flashcards

Boyle's Law

Volume and Pressure are inversely proportional when temperature and mass are constant.

Charles' Law

For a given mass of gas, volume varies directly with absolute temperature when pressure is constant.

Gay-Lussac's Law

For a given mass of gas, pressure varies directly with absolute temperature when volume remains constant.

Dalton's Law of Partial Pressure

The sum of the partial pressures of each gas in a mixture equals the total pressure of the mixture.

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Combined Gas Law

Mathematical relationship that combines pressure, volume, and temperature for a fixed mass of gas.

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Avogadro's Law

At equal temperatures and pressures, equal volumes of different gases contain equal numbers of molecules.

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Ideal Gas Law

PV = nRT, describing the state of an ideal gas.

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Study Notes

  • Gas laws are examined.

Introduction to Gas Laws

  • Gas behavior depends on temperature, pressure, and volume.
  • Mass (amount of gas) remains constant, denoted as k.
  • Gases do not typically behave ideally under all conditions of temperature and pressure.
  • Pressure and temperature must not reach the point where the gas changes state for ideal behavior.

Boyle's Law

  • For a fixed mass of gas, volume (V) and pressure (P) are inversely proportional when temperature (T) and mass are constant.
  • Expressed as P x V = k.
  • When pressure goes up, volume goes down.
  • When pressure goes down, volume goes up.

Charles' Law

  • For a given mass of gas, the volume varies directly with the absolute temperature when the pressure is constant.
  • Temperature must be in Kelvin.
  • V/T = k
  • When temperature goes up, volume will go up.
  • When temperature goes down, volume will go down.

Gay-Lussac's Law

  • For a given mass of gas, the pressure varies directly with the absolute temperature when the volume remains constant.
  • P/T = k
  • When temperature goes up, pressure goes up.
  • When temperature goes down, pressure goes down.

Constants

  • "Boyle is boiling mad, because poor Charles is under so much pressure, because of Gay-Lussac's radio's volume is up so high." helps memorization.
  • "Liquor Control Board" relates to the combined gas law.

Dalton's Law of Partial Pressure

  • The sum of each of the gases in a mixture equals the barometric pressure of that gas.

  • The partial pressure of a gas is equal to the concentration x the barometric pressure [Pb].

  • When applied to atmospheric air in the lungs: PB = P02 + PC02 + PN2 + PH20.

  • Examples of partial pressures in atmospheric air:

    • O2: 20.9 kPa, 3.03 psi, 21%
    • N2: 78.1 kPa, 11.32 psi, 78%
    • Ar: 0.97 kPa, 0.14 psi
    • H2O: 1.28 kPa, 0.18 psi, 47 mm Hg
    • CO2: 0.05 kPa, 0.007 psi, 0.05%, 760 mm Hg

Dry Atmospheric Air & Air Containing Water Vapor Pressure

  • Converting gas percentages to partial pressure.
  • Correction for PH2O.
  • PB – PH2O follows Dalton’s law and allows for pressure of gases.

Tracheal Air vs. Alveolar Air

  • As gas travels from the trachea to the carina to the alveoli, it changes due to oxygen uptake and carbon dioxide removal at the alveolar-capillary membrane caused by O2 and CO2 pressure gradients.
  • BTPS (Body Temperature Saturated) is at 47 mmHg.
  • ATPS (Atmosphere Temperature Pressure Saturated).

Combined Gas Law

  • Incorporates the pressure, volume, and temperature of a fixed mass of gas.
  • (P x V) / T = k, and (P1 x V1) / T1 = (P2 x V2) / T2.
  • Allows for calculation of gas volume conversion:
    • From Atmosphere Temperature, Pressure, Saturated (ATPS) to Standard Temperature (0 °C) Pressure (760 torr) Dry (STPD) (0 torr PH20).
    • From ATPS to Body Temperature, Pressure, Saturated (BTPS) (37 °C at 47 torr).
    • From STPD to BTPS.

Convert Gas Volume: STPD to BTPS

  • P1 = 750 mmHg, P2 = 760 mmHg
  • T1 = 273 K, T2 = 310 K
  • PH2O = 0 mmHg, PH2O = 47 mmHg
  • Conversion factor is approximately 1.2

Ideal Gas Law

  • PV = nRT
  • n = number of moles of gas
  • R = universal gas (Boltzmann's) constant (82.1 atm ml/mol. K, or 8.31 Pa.m3 / mol. K).
  • If the amount of gas remains constant (nR), it can be used to predict changes of temperature (K), pressure, and volume.

Ideal Gas Equation

  • It does not reflect the real relationship of gas molecules but only under "ideal" conditions.
  • "Ideal" conditions for the ideal gas law are under high temperature and low pressure.
  • Deviations from ideal behavior: Volume and Van der Waals forces

Avogadro's Law

  • At equal temperatures and pressures, equal volumes of different gases, regardless of their mass, contain equal numbers of molecules.
  • Avogadro's number represents the number of molecules in 1 GMW of a substance.
  • N = kV

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