A horizontal narrow glass tube of 100 cm length closed at both ends contains a gas divided in to equal parts by a mercury pellet 10 cm long with the system at 127°C. Now one side is heated to 227°C, while the other side is cooled to 27°C. The distance moved by the mercury pellet in cm is nearly (neglect expansion of glass and mercury)
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a
11.2
b
5.6
c
56.2
d
33.8
answer is A.
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Detailed Solution
Initially both sides contain same number of moles and finally also they must contain same number of moles. If x is displacement of mercury pellet on the hot side the length of gas column is (45 + x) and on the cold side it is (45 - x). The pressures on both sides are equal and apply PV = nTR for hot side and cold side