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A spherical balloon of volume V contains...

A spherical balloon of volume V contains helium at a pressure P. How many moles of helium are in the balloon if the average kinetic energy of the helium atoms is `vec(K)`?

A

`(2PV)/vecKN_(A)`

B

`3PV/KN_(A)`

C

`5PV/3KN_(A)`

D

`3PV/KN_(A)`

Text Solution

Verified by Experts

The correct Answer is:
D
`P=(2N)/(3V) bar(K)` From the kinetic theory account for pressure.
`N = 3/2 (PV)/(barK)`
`n = (N)/(N_A) = 3/2 (PV)/(bar(K)N_A)`.
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