ideal gas equation in terms of KE per unit volume ,E is
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Explanation:
as we know...
PV = 1/3mv²NA
PV = 1/3mv²NA3PV = mv²NA......(1)
divide the equation 1by 2
3/2PV = 1/2mv²NA
3/2PV = 1/2mv²NA3/2 PV = KEof molecule
3/2PV = 1/2mv²NA3/2 PV = KEof molecule3/2P = KE/V
3/2PV = 1/2mv²NA3/2 PV = KEof molecule3/2P = KE/V3/2 P = Kinetic energy per unit volume
P = 2/3*Kinetic energy per unit volume
Ideal gas equation.....
PV = nRT.....(2)
now put value of P in equ. (2)
2/3*Kinetic energy per unit volume*V
2/3*Kinetic energy per unit volume*V = n RT
2/3*Kinetic energy per unit volume*V = n RT2/3*KE*V/V= nRT
2/3*KE = nRT
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