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JEE Advanced
Exam
JEE Advanced
Subject
Chemistry
Chapter
States of Matter

JEE Advanced · Chemistry · States of Matter

For a sample of an ideal gas, the maxwell distribution curve of...

For a sample of an ideal gas, the maxwell distribution curve of molecular speed is given as : For a sample of an ideal gas, the maxwell distribution curve of molecular speed is given as : Select the correct
Select the correct statements.

Options

  1. AMost probable speed at 27∘C27^{\circ} \mathrm{C} is V1\mathrm{V}_1
  2. BMost probable speed at 127∘C127^{\circ} \mathrm{C} is 43 V1\sqrt{\frac{4}{3}} \mathrm{~V}_1
  3. CVmms\mathrm{V}_{\mathrm{mms}} at 27∘C=32 V127^{\circ} \mathrm{C}=\frac{3}{2} \mathrm{~V}_1
  4. DVms\mathrm{V}_{\mathrm{ms}} at 127∘C=2 V1127^{\circ} \mathrm{C}=\sqrt{2} \mathrm{~V}_1

Correct answer

D. Vms\mathrm{V}_{\mathrm{ms}} at 127∘C=2 V1127^{\circ} \mathrm{C}=\sqrt{2} \mathrm{~V}_1

Step-by-step solution

Vmp at 127∘C=400300V1=43V1Vrms at 27∘C=32V1Vms at 127∘C=32×43 V1=2 V1\begin{aligned} & V_{m p} \text { at } 127^{\circ} \mathrm{C}=\sqrt{\frac{400}{300}} V_1=\sqrt{\frac{4}{3}} V_1 \\ & V_{r m s} \text { at } 27^{\circ} \mathrm{C}=\sqrt{\frac{3}{2}} V_1 \\ & V_{m s} \text { at } 127^{\circ} \mathrm{C}=\sqrt{\frac{3}{2}} \times \sqrt{\frac{4}{3}} \mathrm{~V}_1=\sqrt{2} \mathrm{~V}_1\end{aligned}
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