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An insulated cylindrical vessel filled 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 5 ~cm . Length of the cylindrical vessel in cm is

Options

  1. A13.65
  2. B27.3
  3. C38.6
  4. D64.6

Correct answer

B. 27.3

Step-by-step solution

According to question, array rlrl & & 273 L / 2 & = 373 (L / 2)+5 & 273 ( L 2 +5 ) & =373 ( L 2 ) array or 273 5=100 ( L 2 ) or L=27.3 ~cm

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