Two containers of equal volume contain the same gas

Asked by admin @ 17/08/2021 in Physics viewed by 288 People

Two containers of equal volume contain same gas at pressure p1 and p2 and absolute temperature t1 and t2 respectively. On joining the vessels, the gas reaches a commmon pressure p and common temperature t. The ratio of p/t is

Answered by admin @ 17/08/2021

HEY DEAR ...

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 constant
n1+n2=n1’+n2’
pv/RT1 +pv/RT2 =p’v/RT +p’v/RT
from this p’ will be
p’=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 constant
internal energy before= internal energy after joining
CvPV/R +CvPV/R=CvP’(V1+V2)/R
P’=P--------(2)
Using 1 and 2
T=2T1T2/(T1+T2) answer

Hope , it helps ...

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Two containers of equal volume contain the same gas

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