Ideal gas

• Ideal gas is a gas which obeys the equation PV=nRT at all values of pressure, volume and thermodynamic temperature.
• A mole is the amount of substance which contains the same number of particles as in 0,012kg of carbon-12 isotope.
• Avogadro constant is the number of atom in 0.012kg of carbon-12.
• Boyle's law states that for a fixed mass of gas, the pressure is inversely proportional to its volume provided that thermodynamic temperature is constant,
• Chales's law states that for a fix mass of gas, the volume of the gas is directly proportional to its thermodynamic temperature provided pressure is constant.
• Pressure law states that for a fixed mass of gas. the pressure of the gas is directly proportional to the thermodynamic temperature provided that volume stays constant.
• IDEAL GAS:

  $PV=$$nRT$

  $PV=$$NkT$
• VOLUME OCCUPIED BY ONE GAS PARTICLE:

  total volume by gas/no of gas particles

  $V/N$
• AVERAGE SEPARATION B/W GAS PARTICLES:

  $3√V occupied by one gas particle$
• KINETIC ENERGY OF A MOLECULE:

  • comparing PV=nRT and PV=NkT

  $K=$$R/Na$

  • PV=NrT

  PV=1/3Mn<c2>

  • NkT=1/3Nm<c2>

  ke of 1 molecule= 3/2kT

  • average ke for 1 molecule = 1/2m<c2>=3/2kT

  <c2>∝ T
• Basic assumptions pf kinetic theory of gases:

  • gas molecules behave elastically
  • no intermolecular cohesive forces between particles
  • all the molecules are in a state of random motion