Physics
Heat
Easy

Question

A certain mass of an ideal diatomic gas contained in a closed vessel is heated ; it is observed that the temperature remains constant; however, half the amount of gas gets dissociated; the ratio of the heat supplied to the gas initial internal energy of the gas will be

  1. 1 : 2
  2. 1 : 4
  3. 1 : 5
  4. 1 : 10

The correct answer is: 1 : 10


    U subscript 1 equals n open parentheses fraction numerator 5 R over denominator 2 end fraction close parentheses T
text  and  end text U subscript 2 equals n over 2 open parentheses fraction numerator 5 R over denominator 2 end fraction close parentheses T plus fraction numerator 2 n over denominator 2 end fraction open parentheses fraction numerator 3 R over denominator 2 end fraction close parentheses T equals n open parentheses fraction numerator 11 R over denominator 4 end fraction close parentheses T
U subscript 2 equals U subscript 1 plus Q
therefore space of 1em Q over U subscript 1 equals U subscript 2 over U subscript 1 minus 1 equals 11 over 10 minus 1 equals 1 over 10

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