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Q.

An insulated cylindrical vessel open at one end is fitted with an insulated piston of negligible weight and negligible thickness at the mid point of the vessel. The cylinder contains a gas at 0∘C. When the gas is heated to 100∘C, the piston moves through a length of 5cm. Length of the cylindrical vessel in cm is

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a

38.6

b

64.6

c

13. 65

d

27.3

answer is B.

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Detailed Solution

detailed_solution_thumbnail

Given that,  

Initial temperature, t1=00C

Final temperature, t2=100ºC

Moving length of piston = 5 cm

The above given process is isobaric  

V1/T1=V2/T2

(L/2)/273=((L/2)+5)/373,L/546=L+10/746

L=27.3cm

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