A mixture of n1 moles of diatomic gas and n2 moles of monatomic gas has Cp/Cv = γ = 3/2, then

Options

A. `n_(1) = n_(2)`
B. `2n_(1) = n_(2)`
C. `n_(1) = 2n_(2)`
D. `2n_(1) = 3n_(2)`

Answer

A

Explanation

` gamma = (n_(1)C_(P1) + n_(2)C_(P2))/ (n_(1)C_(V1) + n_(2)C_(V2))`
` gamma = 1.5 therefore C_(P1) = (5R)/(2) , C_(P2) = (7R)/(2) `
` C_(V1) = (3R)/(2) , C_(V2) = (5R)/(2)` , then `n_(1) = n_(2)`