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Question

Two closed bulbs of equal volume (v) containing an ideal gas initially at pressure P4 and temperature T1 are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to T2. What is the final pressure Pf?
1151556_4aa3e60d3dd944beb2b755f5fc43fe7b.png

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Solution

Let us consider the problem:

n1+n2=n1+n2

Therefore,
piVRT1+piVRT1=pfVRT1+pfVRT2

=>2piVRT1=pfVR(T1+T2T1T2)

=>Pf=2piT2T1+T2

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