Estimate the effective radius of a glycine molecule in water at 25 degree C give

Question

Estimate the effective radius of a glycine molecule in water at 25 degree C given that its diffusion coefficient is 1.055 times 10^-9 m^2/s and that the viscosity of water is 1.00 cP (1 centiPoise = 0.001 N.s/m^2). How much time is required for a glycine molecule under these conditions to travel a rms (root-mean-square) displacement of 1.0 cm? If the temperature were 37 degree C, estimate the time for a the same rms displacement. (a) The half-life of the first-order decay of radioactive^14 C is 5720 years. Calculate the rate constant for this reaction. (b) The natural abundance of^14 C in living matter is 1.1 times 10^-13 mol%. Radiochemical analysis of an object obtained in an archeological dig indicates that the^14 C content is 8.9 times 10^-15 mol%. Determine the age of the object State any assumptions that you make.

Explanation / Answer

a)     rate constant of 1st order reaction = 0.693/ half life

                                                          = 0.693/ 5720 yrs

                                                          = 0.00012 yr-1

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