Question 425: Thermodynamics & KTG

Question

Two moles of helium are mixed with n moles of hydrogen. If  $${{Cp} \over {Cv}} = {3 \over 2}$$ for the mixture, then the value of n is :

Accepted Answer

$${{{C_p}} \over {{C_v}}} = {{{f_{mix}} + 2} \over {{f_{mix}}}} = {3 \over 2}$$
$$ \Rightarrow $$$$\,\,\,$$ f
mix
= 4
As, f
mix
= $${{{n_1}{f_1} + {n_2}{f_2}} \over {{n_1} + {n_2}}}$$
$$ \Rightarrow $$$$\,\,\,$$ 4 = $${{2 	imes 3 + n 	imes 5} \over {2 + n}}$$
$$ \Rightarrow $$$$\,\,\,$$ n = 2 moles.

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Thermodynamics & KTG

Two moles of helium are mixed with n moles of hydrogen. If ${{Cp} \over {Cv}} = {3 \over 2}$ for the mixture, then the value of n is :

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