60% of diatomic gas is dissociated to monoatomicgas. What is Cp/Cv for this situation
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Cp/Cv = 9/19
Given:
60% diatomic gas dissociates to monoatomic gas.
To find:
Cp/Cv for this situation
Solution:
The mixture contains 60% monoatomic gas and 40% diatomic gas.
Cv of monoatomic gas: 3/2R
Cv of diatomic gas: 5/2R
Cv of the given mixture is given by: [ n₁ (Cv)₁ + n₂ (Cv)₂ ] / [n₁ + n₂]
Cv of the mixture: [3/5 × 3/2R + 2/5 × 5/2R]
Cv of the mixture: 19/10R
Since Cp = Cv - R
Cp of the mixture = 19/10R - R
Cp of the mixture = 9/10R
γ = Cp/Cv
γ = 9/19
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