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An electron tube was sealed off during m...

An electron tube was sealed off during manufacture at a pressure of `1.2xx10^(-7)` mm of mercury at `27^(@)C.` Its volume is 100 `cm^(3)`. The number of molecules that remain in the tube is

A

`2xx10^(16)`

B

`3xx10^(15)`

C

`3.86xx10^(11)`

D

`5xx10^(11)`

Text Solution

Verified by Experts

The correct Answer is:
C
For N molecules, `PV=NkT`
`rArrN=(PV)/(kT)=(1.2xx10^(-10)xx13.6xx10^3xx10xx10^(-4))/(1.38xx10^(-23)xx300)`
`rArrN=3.86xx10^(11)`
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