Question 543: Thermodynamics & KTG

Question

One mole of ideal monatomic gas $$\left( {\gamma  = 5/3} \right)$$ is mixed with one mole of diatomic gas $$\left( {\gamma  = 7/5} \right)$$. What is $$\gamma $$ for the mixture? $$\gamma $$ Denotes the ratio of specific heat at constant pressure, to that at constant volume

Accepted Answer

$${{{n_1} + {n_2}} \over {\gamma  - 1}} = {{{n_1}} \over {{\gamma _1} - 1}} + {{{n_2}} \over {{\gamma _2} - 1}}$$
$$ \Rightarrow {{1 + 1} \over {\gamma  - 1}}$$
$$ = {1 \over {{5 \over 3} - 1}} + {1 \over {{7 \over 5} - 1}}$$
$$ \Rightarrow \gamma  = {3 \over 2}$$

Answer

$$35/23$$

Answer

$$23/15$$

Answer

$$3/2$$

Answer

$$4/3$$

Thermodynamics & KTG

One mole of ideal monatomic gas $\left( {\gamma = 5/3} \right) is mixed with one mole of diatomic gas \left( {\gamma = 7/5} \right). What is \gamma for the mixture? \gamma $ Denotes the ratio of specific heat at constant pressure, to that at constant volume

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