A certain gas effuses out of two different vessels A and B. A has a ci...
More the area more the effusion.
∴r1/r2 = A1/A2
r1/r2 = πr2/r2 = π
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A certain gas effuses out of two different vessels A and B. A has a ci...
Area of circular vessel=pi r2 (A)
Area of square vessel=r2. (B)
According to Graham 's law,
Rate of diffusion of 1/ "" 2= A/B
= pi/1
A certain gas effuses out of two different vessels A and B. A has a ci...
Rate of Diffusion in Vessel A and Vessel B
The rate of diffusion of a gas depends on several factors, including the size of the orifice through which the gas is diffusing. In this question, we are comparing the rate of diffusion of a gas from two vessels, A and B, with different orifice shapes.
Orifice Shapes in Vessel A and Vessel B
Vessel A has a circular orifice, while Vessel B has a square orifice. The length of the square orifice in Vessel B is equal to the radius of the circular orifice in Vessel A.
Comparison of the Rate of Diffusion
To compare the rate of diffusion from Vessel A to that from Vessel B, we need to consider the shape of the orifices and their impact on the diffusion process.
- Circular Orifice in Vessel A:
- The circular orifice in Vessel A has a larger area compared to the square orifice in Vessel B.
- This means that a larger amount of gas can pass through the circular orifice in a given time compared to the square orifice.
- Therefore, the rate of diffusion from Vessel A is expected to be higher than that from Vessel B.
- Square Orifice in Vessel B:
- The square orifice in Vessel B has smaller dimensions compared to the circular orifice in Vessel A.
- This restricts the flow of gas through the orifice, leading to a lower rate of diffusion compared to Vessel A.
Ratio of Diffusion Rates
Based on the above analysis, we can conclude that the rate of diffusion from Vessel A is greater than the rate of diffusion from Vessel B. Therefore, the ratio of the rate of diffusion from Vessel A to that from Vessel B is 1:1.
Hence, the correct answer is option 'A': 1.
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