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why at the same temperature and pressure all gases will possess same KE per mol?

why at the same temperature and pressure all gases will possess same KE per mol?

Grade:11

1 Answers

Mahendarsingh Mahendarsingh
39 Points
6 years ago
let the initial pressure and volume of two vessel be p and v. and the final pressure will be p’the number of moles in the system will remain constantn1+n2=n1’+n2’pv/RT1 +pv/RT2 =p’v/RT +p’v/RTfrom this p’ will bep’=p(1/T1+1/T2)*T/2 -------------(1)now as the change in volume is zero and assuming the loss in surrounding is zero the internal energy will be constantinternal energy before= internal energy after joiningCvPV/R +CvPV/R=CvP’(V1+V2)/RP’=P--------(2)Using 1 and 2T=2T1T2/(T1+T2)

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