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Kinetic Theory

Question
CBSEENPH11020450
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A gaseous mixture consists of 16 g of helium and 16 g of oxygen. The ratio cp/cv of the mixture is

  • 1.59

  • 1.62

  • 1.4

  • 1.54

Solution

B.

1.62

The space molar space fractions space semicolon space straight n subscript 1 space space equals 1 half comma space straight n subscript 2 space equals 4 And space straight C subscript straight v subscript 1 end subscript space equals space 5 over 2 space straight R comma space straight C subscript straight V subscript 2 end subscript space equals 3 over 2 straight R straight C subscript straight v space equals space fraction numerator straight n subscript 1 straight C subscript straight v subscript 1 end subscript plus straight n subscript 2 straight C subscript straight v subscript 2 end subscript over denominator straight n subscript 1 plus straight n subscript 2 end fraction space equals fraction numerator begin display style 1 half end style straight x begin display style 5 over 2 end style straight R space plus 4 space straight x begin display style 3 over 2 end style straight R over denominator begin display style 1 half end style plus 4 end fraction space equals space fraction numerator 29 straight R over denominator 18 end fraction straight C subscript straight p space equals straight C subscript straight v space plus space straight R space equals space fraction numerator 29 space straight R over denominator 18 end fraction plus straight R space equals fraction numerator 47 space straight R over denominator 18 end fraction Now comma space straight C subscript straight p over straight C subscript straight v space equals space fraction numerator 47 space straight R over denominator 18 end fraction space straight x fraction numerator 18 over denominator 29 straight R end fraction space equals space 47 over 29 space equals space 1.62

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