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In a certain region of space there are o...

In a certain region of space there are only 5 molecules per `cm^(3)` of gas on an average. The temperature is `3K`. What is the average pressure of this gas ? .

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The correct Answer is:
20.7
Let `mu` be the number of molecules in the gas. Then
`PV=mu k_B T` or `P=(mu k_BT)/(V)`
But `(mu)/(V)=5 cm^(-3)=5 xx 10^(-6)m^(-3)`
`therefore P=5 xx 10^(-6)xx1.38 xx 10^(-23)xx3`
`=20.7 xx 10^(-17)Nm^(-2)`
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