What is the ratio of the number of molecules having speeds in the range of and to the number of mole — States of Matter and Gaseous State Chemistry Question
Question
What is the ratio of the number of molecules having speeds in the range of $2u_{mp}$ and $2u_{mp} + du$ to the number of molecules having speeds in the range of $u_{mp}$ and $u_{mp} + du$?
Answer: A
💡 Solution & Explanation
Ratio $= f(2u_{mp})/f(u_{mp})$. $f(u_{mp}) \propto u_{mp}^2 e^{-1}$. $f(2u_{mp}) \propto 4u_{mp}^2 e^{-4}$. Ratio $= 4e^{-3}$. Therefore, correct answer is A.
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