ABC26PH0709 · Gaseous State
Subject: Physical Chemistry · Chapter: Gaseous State · Topic: Gaseous State – General · Exam: JAM 2001-2022 · Marks: 2 · Difficulty: Medium
The Maxwell distribution function for the distribution of speeds of molecules in gaseous systems is given by \[ \mathrm{f(c)} = 4\pi\left(\dfrac{\mathrm{m}}{2\pi \mathrm{kT}}\right)^{3/2} \mathrm{c}^{2} \exp\left(\dfrac{-\mathrm{mc}^{2}}{2\mathrm{kT}}\right) \]
Show that the most probable speed, $\mathrm{c_{mps}} = \left(\dfrac{2\mathrm{kT}}{\mathrm{m}}\right)^{1/2}$ Answer
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