Question 434: Thermodynamics & KTG

Question

Two moles of an ideal gas with $${{{C_P}} \over {{C_V}}} = {5 \over 3}$$
are mixed with 3 moles of another ideal gas
with $${{{C_P}} \over {{C_V}}} = {4 \over 3}$$. The value of $${{{C_P}} \over {{C_V}}}$$ for the
mixture is :

Accepted Answer

C
p
= $${{{n_1}{C_{{p_1}}} + {n_2}{C_{{p_2}}}} \over {{n_1} + {n_2}}}$$
C
v
= $${{{n_1}{C_{{V_1}}} + {n_2}{C_{{V_2}}}} \over {{n_1} + {n_2}}}$$
$$\gamma $$
mix
= $${{{C_p}} \over {{C_v}}}$$ = $${{2 	imes {5 \over 2}R + 3 	imes {8 \over 2}R} \over {2 	imes {3 \over 2}R + 3 	imes {6 \over 2}R}}$$
= $${{5 + 12} \over {3 + 9}}$$ = 1.42

Answer

1.50

Answer

1.45

Answer

1.47

Answer

1.42

Thermodynamics & KTG

Two moles of an ideal gas with ${{{C_P}} \over {{C_V}}} = {5 \over 3} are mixed with 3 moles of another ideal gas with {{{C_P}} \over {{C_V}}} = {4 \over 3}. The value of {{{C_P}} \over {{C_V}}}$ for the mixture is :

Choose the correct answer: