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

In a certain region of space, there are only 5 molecules per `cm^(3)` on an average. The temperature is 3K. What is the average pressure of this very dilute gas? `(K=1.38xx10^(-23)J//molK)`

Text Solution

Verified by Experts

According to ideal gas equation
PV = NKT where N is number of molecules (or)
`P=(NKT)/V" here "N/V=5"molecules"//cm^(3)=5"molecules"//(10^(-2)m)^(3)=5xx10^(6)"molecules"//m^(3)`
So `P=(5xx10^(6))(1.38xx10^(-23))(3)`
= `2.07xx10^(-16)Pa`
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