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.