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Question

A vessel containing 9 litres of an ideal gas at 760 mm pressure is connected to an evacuated 9 litre vessel. The resultant pressure is


A
380 mm
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B
760 mm
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C
190 mm
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D
1140 mm
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Solution

The correct option is A 380 mm
By ideal gas equation, PV = nRT
now we are given that T is constant
We observe that n α PV
also number of moles depend on mass so number of moles will remain conserved
so, product PV will remain conserved because PV is proportional to "n"
P1V1=P2V2
here P1 = 760
V1 = 9 ltr
V2 = 9 + 9 = 18 ltr
solving, we get P2 = 380 mm of mercury

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