Previous Year NEET Question- Kinetic Theory L-8

Question: The equation of state for $5 \mathrm{~g}$ of oxygen at a pressure $p$ and temperature $T$, when occupying a volume $V$, will be [CBSE AIPMT 2004]#

A) $p V=\left(\frac{5}{32}\right) R T$

B) $p V=5 R T$

C) $p V=\left(\frac{5}{2}\right) R T$

D) $p V=\left(\frac{5}{16}\right) R T$

Answer: $p V=\left(\frac{5}{32}\right) R T$#

Solution:#

Number of moles, $$ n=\frac{m}{\text { molecular weight }}=\frac{5}{32} $$

As, from ideal gas equation $$ p V=n R T \Rightarrow p V=\frac{5}{32} R T $$