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JEE Advanced 2016Paper 1
Exam
JEE Advanced
Year
2016
Paper
Paper 1
Subject
Chemistry
Chapter
States of Matter

JEE Advanced 2016 · Paper 1 · Chemistry · States of Matter

The diffusion coefficient of an ideal gas is proportional to its...

The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 44 times and its pressure 22 times. As a result, the diffusion coefficient of this gas increases xx times. The value of xx is:

Correct answer

0

Step-by-step solution

Rate of diffusion ∝λ×UAvg∝ \lambda \times {U}_{Avg}
∝12πσ2N∗×UAvg∝ \dfrac{1}{\sqrt{2}{\pi \sigma}^{2}{N}^{*}} \times {U}_{Avg}
∝12πσ2N∗∝ \dfrac{1}{\sqrt{2}{\pi \sigma}^{2}{N}^{*}}
∝UAvg(kT)2πσ2P∝ \dfrac{{U}_{Avg}\left(kT\right)}{\sqrt{2}{\pi \sigma}^{2}P}
Rate of diffusion ∝T32P∝ \dfrac{T\dfrac{3}{2}}{P}
rfinalrinitial=(4)322\dfrac{{r}_{final}}{{r}_{initial}} = \dfrac{\left(4\right)\dfrac{3}{2}}{2}
rfinalrinitial=4\dfrac{{r}_{final}}{{r}_{initial}} = 4
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