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Q.

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
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