What is kinetic gas equation?
Answer:
Ek = 1.5kT (for one molecule)
Ek = 1.5NkT (for N molecules)
Ek = 1.5RT (for Na [or one mole] of molecules)
where Ek is kinetic energy, k is the Boltzmann constant (1.38*10^-23JK^-1), T is absolute temperature (K) and R is the universal gas constant (Avagadro's constant x Boltzmann constant-8.314JK^-1mol^-1)
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One form is p*V=1/3*Nmc^2 where N=No particles, m=their mass and c^2= mean square speed. P,V=usual meanings. You get if by imagining a simple one particle gas in a box making elastic collisions with one wall. You apply Newton II to calculate the force using change of momentum divided by the time between these collisions. You then scale it up for N particles moving in X,Y,Z directions (hence the 3-factor) and use P=F/A to derive the pressure.
Another useful result is P=1/3xDensity*c^2 where Density= N*m/V.(can use it to get the root mean square speed of the particles). Works for 'ideal' gases or 'real' gases well above their critical temp (ie temp where they cannot be liquified by pressure alone)
The following equation is called kinetic gas equation:---
PV = 1/3mnC^2. where m = mass of a gas molecule, n= no. of gas molecules,p= pressure of the gas, V = volume occupied by the gas.
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