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At a given temperature, the density of a...

At a given temperature, the density of an ideal gas is proportional to

A

`p^(2)`

B

`p`

C

`sqrt(p)`

D

`1//p`

Text Solution

Verified by Experts

The correct Answer is:
B
Rearranging the ideal gas equation `(pV = nRT)` , we have
`(n)/(V) = (p)/(RT)`
Replacing the number of moles `(n)` of the gas by
`(m("mass of the gas"))/(M("molar mass"))`
we get
`(m)/(MV) = (p)/(RT)`
Since density `(d)` is mass per unit volume , we can write
`d = (m)/(V) = (pM)/(RT)`
`:. d prop p`
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Knowledge Check

  • Kinetic energy of an ideal gas is proportional to

    A
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