1.

At a given temperature, the density of an ideal gas is proportional toA. `p^(2)`B. `p`C. `sqrt(p)`D. `1//p`

Answer» Correct Answer - 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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