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12.Kinetic Theory of Gases
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એક મોલ આદર્શ એક પરમાણ્વીય વાયુ ($\gamma$ = $5/3$) ને એક મોલ દ્વિપરમાણ્વીય વાયુ ($\gamma$ = $7/5$) સાથે મિશ્ર કરતાં $\gamma$ = ?
A
$3/2$
B
$23/15$
C
$35/23$
D
$4/3$
Solution
${\gamma _{mix}} = \frac{{\frac{{{\mu _1}{\gamma _1}}}{{{\gamma _1} – 1}} + \frac{{{\mu _2}{\gamma _2}}}{{{\gamma _2} – 1}}}}{{\frac{{{\mu _1}}}{{{\gamma _1} – 1}} + \frac{{{\mu _2}}}{{{\gamma _2} – 1}}}} = \frac{{\frac{{1 \times \frac{5}{3}}}{{\left( {\frac{5}{3} – 1} \right)}} + \frac{{1 \times \frac{7}{5}}}{{\left( {\frac{7}{5} – 1} \right)}}}}{{\frac{1}{{\left( {\frac{5}{3} – 1} \right)}} + \frac{1}{{\left( {\frac{7}{5} – 1} \right)}}}} = \frac{3}{2} = 1.5$
Standard 11
Physics
