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AP EAMCET201823 Apr 2018Evening ShiftPhysicsThermodynamicsActual

An ideal gas is found to obey p V^ 3 2 = constant during an adiabatic process. If such a gas initially at a temperature T is adiabatically compressed to half of its initial volume, then its final temperature is

Options

  1. A2 T
  2. B2T
  3. C2 2 T
  4. D4T

Correct answer

A. 2 T

Step-by-step solution

aligned & Given, p V^ = constant , = 3 2 & T V^ -1 = constant T_f=T_i ( V_i V_f )^ r-1 & T_f=T ( 2 V_f V_f )^ 3 2 -1 T_f=T(2)^ 1 / 2 T_f= 2 T aligned

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