Physics
Heat
Easy

Question

p- V diagram  of a diatomic gas is a straight line passing through origin . The molar heat capacity of the gas in the process wilI be :

  1. 4R
  2. 2.5R
  3. 3R
  4. 4R/3

The correct answer is: 3R


    P-V diagram of the gas is a straight line passing through origin.
    Hence, p proportional to V
    or P V to the power of negative 1 end exponent equals text constant  end text
    Molar heat capacity in the process PVx=constant is given by
    C equals fraction numerator R over denominator gamma minus 1 end fraction plus fraction numerator R over denominator 1 minus x end fraction
    Here, gamma equals 1.4 (For diatomic gas)
    C equals fraction numerator R over denominator 1.4 minus 1 end fraction plus fraction numerator R over denominator 1 plus 1 end fraction equals 3 R

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