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gas behaviour and equations

Introduction

  • most substances become gases once they have become liquids (at their melting point temperature) and then the temperature exceeds their boiling point temperature
  • NB. some substances sublime straight from solid to gas

Boiling point

  • this is the temperature at which a liquid will form gas bubbles and start to evaporate into its gaseous form
  • the vapour pressure of a liquid rises as its temperature increases
  • the boiling point temperature is when the liquid's vapour pressure exceeds that of the pressure of the space above it
  • the standard boiling point is measured when the space above it is normal atmospheric pressure of 1 atm
  • if the pressure of the space above it falls then the boiling point temperature falls (eg. high altitude)
    • this is why butane gas stoves can work in freezing conditions at high altitude but not at normal altitudes
  • if the pressure of the space above it increases, then the boiling point temperature increases (eg. pressure cooker, LPG bottles)

The Gas Equation

PV = nRT

  • where:
    • P = pressure in Pascal (N/m2)
    • V = volume of space the gas is contained within measured in m3
    • n = number of moles of gas substance in mol
    • R = the gas constant = 8.314 J/(mol.K)
    • T = temperature in degrees Kelvin K= Celsius temp + 273.15
  • NB. if use P in atm, V in litres, then the gas constant is 0.08206 L.atm/(mol.K)

moving gas from one volume space to another volume space

  • the PV product above remains constant as you have not lost any gas, hence:
    • P2V2 = P1V1
    • ie. the new pressure = P1V1 / V2

Gaseous pressure units

  • 1 atmosphere (atm) is the standard pressure of earth's atmosphere which equates to:
    • 1.01325 bar
    • 101.325 kPa
    • 760mmHg = 760 Torr
    • 14.696 pounds per square inch (psi)

Relative gas densities to air

  • in general gas density rises in proportion to its molecular weight for the same temperature and pressure
  • the following assumes same temperature and pressure (except for the hot wood fire smoke which is compared to normal ambient air temperature)
  • carbon monoxide, like smoke, coming from a stove or heater will initially rise hence smoke alarms and CO alarms should generally be mounted near a ceiling for the earliest warning, later both will mix with air as they cool to air temperatures and smoke may even sink
  • underground coal miners are at major risk from:
    • pools of carbon dioxide (“black damp”) as it forms from human respiration, the rotting of timber supports, or the slow oxidation of coal
    • carbon monoxide poisoning via either:
      • “white damp” - CO produced from machinery exhausts or slow coal fires
      • “after damp” - CO left behind after a methane or coal dust explosion
    • methane asphyxiation “firedamp” from methane trapped within coal seams and rock strata that bleed out when mined
    • hydrogen sulphide “stinkdamp” produced by the decomposition of iron pyrites in the presence of moisture or organic breakdown
  • NB. fog tends to lie close to ground not because of intrinsic gas density but because it is colder and thus more dense
Relative density to air molecular weight (g/mol)
hydrogen H2 0.07 2
helium He 0.138 4
methane (natural gas) CH4 0.554 16
pure water vapour H2O 0.62 18
hot wood fire smoke (mainly nitrogen, carbon dioxide and water vapor) 0.6 to 0.8 depending upon temperature
acetylene C2H2 0.91 26
carbon monoxide CO 0.97 28
nitrogen N2 0.97 28
dry air 1.0 29 (average of constituents)
same temperature wood fire smoke 1.01-1.05
oxygen O2 1.105 32
hydrogen sulphide H2S 1.19 34
carbon dioxide CO2 1.53 44
propane C3H8 1.53 44
butane C4H10 2.0 58
science/gas.1788353237.txt.gz · Last modified: 2026/09/02 12:47 by gary1

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