If two gases have molar masses M1 and M2, Graham's law states that the ratio R of their rates of effusion through a small opening is given by R = √M1/M2 . The effusion rate of an unknown gas through a small opening is measured to be 1.66 ± 0.03 times greater than theeffusion rate of carbon dioxide. The molar mass of carbon dioxide may be taken to be 44 g/mol with negligible uncertainty.a) Estimate the molar mass of the unknown gas, and find the uncertainty in the estimate.b) Find the relative uncertainty in the estimated molar mass.
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If two gases have molar masses M1 and M2, Graham's law states that the ratio R of their rates of effusion through a small opening is given by R = √M1/M2 . The effusion rate of an unknown gas through a small opening is measured to be 1.66 ± 0.03 times greater than the
effusion rate of carbon dioxide. The molar mass of carbon dioxide may be taken to be 44 g/mol with negligible uncertainty.
a) Estimate the molar mass of the unknown gas, and find the uncertainty in the estimate.
b) Find the relative uncertainty in the estimated molar mass.
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