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  • The diffusion coefficient of an Ideal Gas is Proportional to its mean Free Path and Mean speed. The Absolute Temperature of an ideal was is increased 6 time and its pressure is increased 4 times.<b

The diffusion coefficient of an Ideal Gas is Proportional to its mean Free Path and Mean speed. The Absolute Temperature of an ideal was is increased 6 time and its pressure is increased 4 times.
As a Result, the diffusion cofficent of this gas increase \mathrm{y} times. The value of \mathrm{y} is-

Option: 1

5


Option: 2

10


Option: 3

15


Option: 4

25


Answers (1)

best_answer

Let \mathrm{D i=in ital \, value \: D f= Final \: value}

\mathrm{\frac{D i}{D f}=\frac{\lambda_{i} \sqrt{V i}}{\lambda_{f} \sqrt{V f}} \quad \frac{D_{i}}{D f} =\frac{T_{i}\left|P_{i} \sqrt{T_{i}}\right| M}{T f \mid P f \sqrt{T} f=M}=P}
\mathrm{\frac{D_{i}}{D f} =\frac{P_{f} \cdot T_{i} \sqrt{T_{i}}}{P_{i} \cdot T_{f} \sqrt{T} f}}
\mathrm{\frac{D i}{D f} =\frac{4 P_{i} \cdot T_{i} \sqrt{T_{j}}}{P_{i} \cdot 6 T_{i} \sqrt{6 T f}} }
\mathrm{\frac{D_{i}}{D F} =\frac{4}{14.69}=2 }
\mathrm{D f =\frac{D_{i}}{2}=\frac{10}{2} D_{i}=5 D_{i} }

\mathrm{Therefore\: y=5}

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manish

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