The equation of state for $5 \mathrm{~g}$ of oxygen at a pressure $P$ and temperature $T$, when occupying a…

The equation of state for $5 \mathrm{~g}$ of oxygen at a pressure $P$ and temperature $T$, when occupying a volume $V$, will be: (where $R$ is the gas constant)
  1. $P V=(5 / 32) R T$
  2. $P V=5 R T$
  3. $P V=(5 / 2) R T$
  4. $P V=(5 / 16) R T$

Solution

We know that $P V=\underline{n} R T$ $\begin{gathered} \therefore n=\frac{m}{\text { moleculer mass }}=\frac{5}{32} \\ \Rightarrow \quad P V=\left(\frac{5}{32}\right) R T \end{gathered}$ *

Asked in: NEET 2004

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