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Calculate the average speed M of oxygen gas, O2, at T=277 degrees Celsius.
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You need to remember the formula that helps you to evaluate the average molecular speed of `O_2` such that:
`v = sqrt(3TR/M)`
R expresses Boltzmann's constant = `8.314 J*K^(-1)*mol^(-1)`
T expresses temperature in Kelvin
M expresses mass of 1 mole of oxygen
Notice that the problem provides the temperature in Celsius degrees, hence you need to convert from Celsius to Kelvin such that:
T = Celsius + 273.15
`T = 277 + 273.15`
`T = 550.15` Kelvin
You need to remember that the mass of 1 mole of oxygen is of 32 grams.
Substituting, 8.314 for R, 550.15 for T and 0.032 Kg for in formula of molecular speed yields:
`v = sqrt(3*550.15*8.314/0.032)`
`v = 654.833 m/s`
Hence, evaluating the average molecular speed of `O_2` yields v = `654.833 m/s. `
Posted by sciencesolve on April 18, 2012 at 8:50 AM (Answer #1)
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