Physics
Heat
Easy

Question

Initial volume of three samples of same gas A,B and C are same. The process A is adiabatic, B is isobaric and C is isothermal. Each of the sample has same final pressure and volume. The initial pressure of which sample was maximum.

  1. A
  2. B
  3. C
  4. Same pressure for all samples

The correct answer is: A


    P subscript A V to the power of gamma equals P left parenthesis V plus straight capital delta V right parenthesis to the power of gamma equals P V to the power of gamma open parentheses 1 plus fraction numerator straight capital delta V over denominator V end fraction close parentheses to the power of gamma
P subscript A equals P open parentheses 1 plus fraction numerator straight capital delta V over denominator V end fraction close parentheses to the power of gamma... left parenthesis i right parenthesis
text  Also  end text P subscript B equals P... left parenthesis i i right parenthesis
text  and  end text space of 1em P subscript c V equals P left parenthesis V plus straight capital delta V right parenthesis equals P V open parentheses 1 plus fraction numerator straight capital delta V over denominator V end fraction close parentheses
text  or  end text space of 1em P subscript c equals P open parentheses 1 plus fraction numerator straight capital delta V over denominator V end fraction close parentheses... left parenthesis i i i right parenthesis
text  obviously  end text comma P subscript A greater than P subscript C greater than P subscript B

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