Two closed vessels of equal volume contain air at pressure 100kPa and temperature 250K and are connected through a narrow tube. If one of the vessels is now maintained at 250K and the other at 300K, what will be the pressure in the vessels?
A
100kPa
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B
210kPa
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C
109kPa
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D
120kPa
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Solution
The correct option is C109kPa Let the initial pressure, volume and temperature in each vessel be P0(=100kPa),V0 and T0(=250K). Let the number of moles in each vessel be n.
At final state, both vessels have same pressure P and let the number of moles be n1,n2 respectively . Then, n1+n2=2n [Total moles will be same] Using ideal gas equation, PV0RT0+PV0RT1=2P0V0RT0 ⇒PT0+PT1=2P0T0 ⇒P=2P0T0×T0×T1T0+T1 =2×100250×250×300550 ∴P=109kPa