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  •   of a monatomic gas is mixed with <img alt="1 \mathrm{~mol}" src="https:

 2 \mathrm{~mol} of a monatomic gas is mixed with 1 \mathrm{~mol} of a diatomic 8 as. Find out the value of \gamma of the mixture.

Option: 1

1.57


Option: 2

2.58


Option: 3

2.57


Option: 4

1.58


Answers (1)

best_answer

For the monatomic gas, r_{1}=1+\frac{2}{f}=1+\frac{2}{3}=\frac{5}{3};

where f = number of degrees of freedom

For the diatomic gas, r_{2}=1+\frac{2}{f}=1+\frac{2}{5}=\frac{7}{5}

f=3 for a monatomic gas and f=5 for a diatomic gas)

So, for the mixture,

r=\frac{n_{1} r_{1}+n_{2} r_{2}}{n_{1}+n_{2}}=\frac{2 \times \frac{5}{3}+1 \times \frac{7}{5}}{2+1}=1.58

Posted by

Suraj Bhandari

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