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A gas is at temperature 80^(@)C and pres...

A gas is at temperature `80^(@)C` and pressure `5xx10^(-10)Nm^(-2)`. What is the number of molecules per `m^(3)` if Boltzmann's constant is `1.38xx10^(-23)JK^(-1)`

Text Solution

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Temperature of a gas `(T)=80^(@)C+273=353K`
Pressure of a gas (P) `=5xx10^(10)Nm^(-2)`
Boltzmann.s constant `(K_(B)) =1.38xx10^(-23)JK^(-1)`
`Vm^(3)`
Number of molecules,`n=(PV)/(kT)=(5xx10^(-10)xx1)/1.38xx 10^(-23)xx353`
`(5xx10^(-10))/(487.14xx 10^(-23))=0.01026xx10^(13)`
`n=1.02xx10^(11)`
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