Which of the following equations represent mathematically valid arrangements of the ideal gas equati — States of Matter and Gaseous State Chemistry Question
Question
Which of the following equations represent mathematically valid arrangements of the ideal gas equation for a pure gas? (Assume $P$ = pressure, $V$ = volume, $n$ = moles, $m$ = mass, $M$ = molar mass, $d$ = density, $R$ = universal gas constant, $T$ = absolute temperature).
Answer: A,B,C
💡 Solution & Explanation
Options A, B, and C are correct derivations. Starting from $PV = nRT$, substituting $n = m/M$ gives $PV = (m/M)RT$. Rearranging gives $P = (m/V)(RT/M)$. Since density $d = m/V$, this becomes $P = dRT/M$ or $PM = dRT$. Option D is incorrect as it should be $d = PM/RT$.
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