Physics
Heat
Easy

Question

Helium gas is subjected to a polytropic process in which t he heat supplied to the gas is four times the work one by it. The molar heat capacity of the gas for the process is: (R is universal gas constant)

  1. R/2
  2. R
  3. 2R
  4. 3R

The correct answer is: 2R


    text  Given,  end text straight capital delta Q equals 4 straight capital delta W
text  But,  end text space of 1em straight capital delta W equals straight capital delta U equals straight capital delta Q
therefore space of 1em straight capital delta U equals 3 straight capital delta W equals 3 over 4 straight capital delta Q
not stretchy rightwards double arrow n C subscript V straight capital delta T equals 3 over 4 n C straight capital delta T text  or  end text comma C equals 4 over 3 C subscript V equals 4 over 3 open square brackets fraction numerator 3 R over denominator 2 end fraction close square brackets equals 2 R

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