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AP EAMCET202125 Aug 2021Evening ShiftPhysicsKinetic Theory of GasesActual

A vessel has 6 g of oxygen at pressure p and temperature 400 K. A small hole is made in it so that oxygen leaks out.How much oxygen has leaked out if the final pressure is p 2 and final temperature is 300 K?

Options

  1. A5 g
  2. B4 g
  3. C2 g
  4. D3 g

Correct answer

C. 2 g

Step-by-step solution

Given, initial pressure, p_i=p Final pressure, p_f= p 2 Initial temperature T=400 ~K Final temperature T^ =300 ~K Initial mass of gas, m=6 ~g From ideal gas equation, we get aligned & p V=n R T & p V= m M R T & ( m M =n ) & aligned Initial condition, p V= m M R T ...(i) Final condition, p^ V= m^ M R T^ ...(ii) Dividing Eq. (ii) by Eq. (i), we get aligned & p^ p = m^ T^ m T & m^ = p^ p T T^ m= p 2 1 p 400 300 6 & m^ =4 ~g & aligned Mass of oxygen leaked, m=m-m^ m=6-4=2 ~g

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