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Question

Two closed bulbs of equal volume (V) containing an ideal gas initially at pressure p1 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. The final pressure pf is:

A
2pf(T1T1+T2)
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B
2pf(T2T1+T2)
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C
2pf(T1T2T1+T2)
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D
2pf(T1T2T1+T2)
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Solution

The correct option is B 2pf(T2T1+T2)
Initial moles = final moles
Pi×VRT1+Pi×VRT1=Pf×VRT2+Pf×VRT1
PiT1+PiT1=PfT2+PfT1
2PiT1=Pf[1T2+1T1]
2PiT1=Pf[T1+T2T1T2]

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