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Question

Figure (24 - E3) shows two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and the volume are pA,TA,V in the vessel A and pB,TB,V in the vessel B. The vessels are now connected through a small tube. The ratio between P and T is

A
12(PATA+PBTB)
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B
12(PATA+PBTB)R
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C
(PATB+PBTA)
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D
None
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Solution

The correct option is A 12(PATA+PBTB)
PAV=nARTA,PBV=nBRTB
nA=PAVRTA,PBVRTB=nB
nA+nB = Total no. of molecules after equilibrium
Volume total = 2V.
Pe2V=neRTe
Pe.2V=(nA+nB)RTe
Pe.2V=(PAVRTA+PBVRTB).RTe
Pe=12(PATA+PBTB).Te

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