Find the ratio of rate diffusion of SO2,O2, CH4?
The answer is in a ratio of 1:2
To find the ratio of the rate of diffusion of SO2, O2, and CH4, you need to compare their rates of diffusion. The rate of diffusion can be calculated using Graham's law of diffusion.
Graham's law of diffusion states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass.
The formula for calculating the rate of diffusion is as follows:
Rate of Diffusion = (Square root of Molar Mass of Gas 1) / (Square root of Molar Mass of Gas 2)
To find the ratio of the rate of diffusion of SO2, O2, and CH4, we need to compare the rates of diffusion of each gas with respect to one another.
1. Determine the molar masses of SO2, O2, and CH4:
The molar mass of SO2 (sulfur dioxide) is approximately 64 g/mol.
The molar mass of O2 (oxygen) is approximately 32 g/mol.
The molar mass of CH4 (methane) is approximately 16 g/mol.
2. Use the formula for the rate of diffusion to calculate the ratio:
Ratio of Rate of Diffusion:
SO2/O2 = (Square root of Molar Mass of SO2) / (Square root of Molar Mass of O2)
SO2/CH4 = (Square root of Molar Mass of SO2) / (Square root of Molar Mass of CH4)
O2/CH4 = (Square root of Molar Mass of O2) / (Square root of Molar Mass of CH4)
Insert the respective molar masses into the formula and calculate each ratio.
For example:
SO2/O2 = (Square root of 64 g/mol) / (Square root of 32 g/mol)
= 8 / 4
= 2
Repeat the above steps for the other combinations to find the ratios of the rate of diffusion for each gas.
Therefore, the ratio of the rate of diffusion of SO2, O2, and CH4 would be:
SO2:O2:CH4 = 2:1:0.5
2:1
It isn't clear what ratios you want. Lat's assume you want ratio SO2/O2; SO2/CH4 but you could have other combinations.
Choose an arbitrary rate for SO2 in say Liters/minute. Then plug into the formula for Graham's Law.
(rate SO2/rate O2) = (MM O2/MM SO2) where MM stands for molar mass. Use the assumed rate for SO2 and the molar masses, solve for rate of O2, then calculate the rate SO2/rate O2 to find the ratio between those two. The others are done similarly. Post your work if you get stuck.