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  4. A gas mixture contains monoatomic and diatomic molecules of 2 moles each. The mixture has a total internal energy of (symbols have usual meanings)

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Q. A gas mixture contains monoatomic and diatomic molecules of 2 moles each. The mixture has a total internal energy of (symbols have usual meanings)

KCETKCET 2021Kinetic Theory

Solution:

$C _{ v }$ for monoatomic gas is $\frac{3 R }{2}$
$C _{ v }$ for diatomic gas is $\frac{5 R }{2}$
Total internal energy for mixture
$U =2 \times\left(\frac{3}{2}\right) RT +2\left(\frac{5}{2}\right) RT$
$U =8 \,RT$