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Question

# A stopcock connecting two bulbs of volume 10 litre and 5 litre containing an ideal gas at 6 atm and 9 atm respectively, is opened. What is the final pressure if the temperature remains the same?

A
7 atm
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B
8 atm
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C
15 atm
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D
7.5 atm
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Solution

## The correct option is A 7 atmAfter opening of the stop cock the pressure in both the bulb becomes equal to the final value. At the beginning, the no. of moles of gas in A=10×6RT=60RT At the beginning, the no. of moles of gas in B=5×9RT=45RT ∴ Total no. of moles at the beginning ntotal=60RT+45RT=105RT Total number of moles of gas before opening the stopcock = Total number of moles of gas after opening stopcock =105RT ∴ Pressure after the opening the stopcock Ptotal=ntotalRTVtotal Ptotal=105RT×RTVtotal=10510+5=7 atm

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