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If P, V, M, T and R are pressure, Volume, molar mass, temperature and gas constant respectively, then for an ideal gas, the density is given by:

1. RT / PM
2. P / RT
3. M / V
4. PM / RT

Correct answer: PM / RT

Solution

The ideal gas equation is PV = nRT. Substituting n = m/M (where m is mass and M is molar mass), we get P = (m/V)RT/M. Since density (ρ) = m/V, the equation simplifies to ρ = PM/RT.

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