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The average kinetic energy of a molecule...

The average kinetic energy of a molecule in a gas at STP is `5.6 times 10^-14erg`. Find out the number of molecules per volume of the gas Given, density of mercury `=13.6 g.cm^-3`.

Text Solution

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Pressure of the gas p
`=2/3 times` energy of gas molecules per unit volume
`=2/3 times n times` average kinetic energy f 1 molecule
where n=number of molecules per unit volume of the gas
`thereforen=(3p)/(2timesavera g e ki n et ic en ergy of 1 mol e cu l e )`
`(3times(76times13.6times980))/(2times(5.6times10^-14))=2.71 times 10^19`
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