Perfect Gas Equation
- Perfect gas equation is given by PV=μRT,
- WhereP,V are pressure, volume, T =absolute temperature,μ = number of moles and R =universal gas constant.
- R= kBNA where kB = Boltzmann constant and NA = Avogadro’s Number
- This equation tells about the behaviour of gas at a particular situation.
- If a gas satisfies this equation then the gas is known as Perfect gas or an ideal gas.
Different Forms of Perfect Gas Equation
- PV=μRT (i)
- Where μ (no. of moles) = N/NA where N=no of molecules and NA = Avogadro number(no of molecules in 1 mole of gas).Orμ = M/Mowhere M=mass of sample of gas and Mo = molar mass.
- PV = (N/NA)RT(putting μ=N/NA in equation(i))
- By simplifying PV = NkBT
- PV=NkBT => P = (N/V) kBT => P=nkBT where n(number density) =N/V where N=number of molecules and V=volume.
- Therefore we get PV=nkBT
- Substitute μ = M/Mo in equation(i)
- PV=(M/Mo) RT => P=(M/V)1/MoRT where
- ρ(mass density of the gas) = M/V
- Therefore P=ρRT/Mo