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Question

Under identical conditions of temperature and pressure the ratio of the rates of effusion of O2 and CO2 gases is given by?

A
rateofeffisionofoxygenrateofeffisionofCO2=0.87
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B
rateofeffisionofoxygenrateofeffisionofCO2=1.17
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C
rateofeffisionofoxygenrateofeffisionofCO2=8.7
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D
rateofeffisionofoxygenrateofeffisionofCO2=0.117
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Solution

The correct option is A rateofeffisionofoxygenrateofeffisionofCO2=0.87
Given,
Temperature and pressure are constant
Molar mass of oxygen =(2×16)g/mole
Molar mass of carbon dioxide=44g/mole
Now,
According to graham's law of diffusion
Rate of diffusion is inversely proportional to the square root of molar mass
r1M
r1r2=M2M1
r1r2=4432=1.375=1.17

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