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A closed hollow insulated cylinder is filled with gas at 0^ C and also contains an insulated piston of negligible weight and negligible thickness at the middle point. The gas in one side of the piston is heated to 100^ C . If the piston moves 5 ~cm . The length of the hollow cylinder is

Options

  1. A15.65 ~cm
  2. B27.3 ~cm
  3. C38.6 ~cm
  4. D64.6 ~cm

Correct answer

D. 64.6 ~cm

Step-by-step solution

From Charle's law, V₁ V₂ = T₁ T₂ Volume (V) is proportional to the length of hollow cylinder. aligned l₁ l₂ & = T₁ T₂ l+5 l-5 & = 273+100 273+0 l+5 l-5 & = 373 273 2 l 10 & = 646 100 & = 646 10 2 100 =32.3 ~cm aligned aligned Length of cylinder & =2 l=2 32.3 & =64.6 ~cm aligned

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