Question

1 mole of a gas with γ = 7/5 is mixed with 1 mole of a gas with γ = 5/3, then the value of γ for the resulting mixture is(a) 7/5(b) 2/5(c) 24/16(d) 12/7

Answer 1

Answer:

24/16

Explanation:

Quantity of mole 1 = γ = 7/5

Quantity of another mole = γ = 5/3

Therefore,

(n1+n2)/(γ-1) = n1/(γ1-1) + n2/(γ2-1)

(1+1)/(γ-1) = 1/(7/5 - 1) + 1/(5/3 - 1)

2/(γ-1) = 5/2 + 3/2 = 4

(γ-1) = 1/2

γ = 3/2 or 24/16

Thus, the value of  γ for the resulting mixture is 24/16