Q.

A given sample of an ideal gas occupies a volume V at a pressure p and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?

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a

pKT

b

pmKT

c

pKTV

d

mkT

answer is B.

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Detailed Solution

We know that,  pV=RT⇒V=RTp                      …(i)∴ Density,  ρ=MV=mNARTp                     [From Eq. (i)]                        = mpNAkNAT                            (∵R = kNA)⇒                 ρ = pmkT
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A given sample of an ideal gas occupies a volume V at a pressure p and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?