SATHEE: States of Matter - Result Question 48

States of Matter - Result Question 48

####49. 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

[1989]

(a) $\frac{R T}{P M}$

(b) $\frac{P}{R T}$

(c) $\frac{M}{V}$

(d) $\frac{P M}{R T}$

Show Answer

Solution:

(d) $P V = n R T = \frac{m}{M} R T$

or $P M = \frac{m}{V} R T = d R T \Rightarrow d = \frac{P M}{R T}$

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