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Two moles on ideal gas with gamma=5/3 is...

Two moles on ideal gas with `gamma=5/3` is mixed with 3 moles of another ideal non reacting gas with `gamma=7/5` .The value of `(C_p)/(C_v)` for the gasous mixture is closer to :

A

1.36

B

1.48

C

1.63

D

1.42

Text Solution

Verified by Experts

The correct Answer is:
B
`C_("V, mix")=(n_(1)C_(V_(1))n_(2)C_(V_(2)))/(n_(1)+N_(2))=(2xx(3R)/(2)+3xx(5R)/(2))/(2+3)=(21R)/(10)`
`C_("P, mix")=C_("V, mix")+R=(31R)/(10)" "therefore gamma_(mix)=(C_("p, mix"))/(C_("v, mix"))=(31)/(21)~~1.48`.
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