Physics
Heat
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Question

When 1 mole of a monatomic gas is mixed with 3 moles of a diatomic gas , the value of adiabatic exponent gamma for the mixture is :

  1. 5/3
  2. 1.5
  3. 1.4
  4. 13/9

The correct answer is: 13/9


    fraction numerator n plus n subscript 2 over denominator gamma minus 1 end fraction equals fraction numerator n subscript 1 over denominator gamma subscript 1 minus 1 end fraction plus fraction numerator n subscript 2 over denominator gamma subscript 2 minus 1 end fraction
fraction numerator 1 plus 3 over denominator gamma minus 1 end fraction equals fraction numerator 1 over denominator 5 over 3 minus 1 end fraction plus fraction numerator 3 over denominator 7 over 5 minus 1 end fraction
fraction numerator 4 over denominator gamma minus 1 end fraction equals 3 over 2 plus 15 over 2 equals 9
text  or  end text space of 1em gamma minus 1 equals 4 over 9 not stretchy rightwards double arrow gamma equals 1 plus 4 over 9 equals 13 over 9

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