Which of the following mathematical expressions correctly evaluate the specified type of molecular s β States of Matter and Gaseous State Chemistry Question
Question
Which of the following mathematical expressions correctly evaluate the specified type of molecular speed for an ideal gas? (Assume $P$ = pressure, $d$ = density, $R$ = universal gas constant, $M$ = molar mass).
Answer: A,B,C,D
π‘ Solution & Explanation
All formulas are correct. Options A, B, and C are the standard speed formulas from KTG. Option D is derived from the ideal gas density formula $PM = dRT \implies RT/M = P/d$. Substituting this into the $U_{rms}$ formula yields $U_{rms} = \sqrt{3P/d}$.
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