Gas Laws

Q.Express ideal gas equation into(P=2/3E),where E is the kinetic energy per unit volume.

4 Answers

K = Î£mv²/2
K = Î£mv²*N/2*N
K = MÎ£v²/2N
M is the total mass
Î£v²/N = v_rms²
K = Mv_rms²/2

Now PV = Mv_rms²/3
PV = 2Mv_rms²/3*2
K = Mv_rms²/2
PV= 2K/3
E = K/V
Therefore
P = (2/3)E
Let tell if you require more data for understanding

did not understand first three steps

Kinetic Energy is K
K is the summation of all the atoms of the gas
N is the no. of atoms and m is the mass of each atom

Do you require more explaination

thx dear friend....

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