A vessel of volume V is required to be evacuated by means of a piston air pump that…

Physics · JEE Main · NTA ExamsKinetic Theory of Gases

A vessel of volume V is required to be evacuated by means of a piston air pump that captures volume ΔV in each stroke, how many strokes will reduce the pressure in the vessel η times? Assume the process to be isothermal and the gas to be ideal.
  1. \(\text { sn n }\)
  2. \(\frac{\ln \eta}{\ln \left(1-\frac{\Delta V}{V}\right)}\)
  3. \(\frac{2 \ln \eta}{\ln \left(1+\frac{\Delta V}{V}\right)}\)
  4. \(\frac{\ln \eta}{\ln \left(1+\frac{\Delta V}{V}\right)}\)

Answer

(B) (1- V V )

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