Back in the late 1980s, when Dr. Egghead's trusty sleuthing dog Gamma was just a pup, the Department of Energy began using a method of worker dose calculation referred to as the "committed effective dose equivalent." Even then, Gamma was interested in such things and would entertain himself by calculating effective dose equivalents for workers. (Always the workhound, that Gamma.) He recently fetched his old records and was hoping for some help in completing some unfinished dose estimates. Note that Gamma was at that time learning the Standard International units of becquerels and sieverts, and so was converting from rems and picocuries to sieverts and becquerels. His notes are reprinted below, paw prints, conversions, and all, except for the final dose calculation:

A worker is exposed to an annual average concentration of uranium-238 of 27 picocuries per cubic meter of air -- or 1 becquerel per cubic meter of air.

The worker breathes 9.6 m3 (cubic meters) of air on each working shift (8 hours) and works 200 shifts per year.

The dose conversion factor for the lung is 9.84 x 10-4 rem per picocurie -- or 2.66 x 10-4 sieverts per becquerel. (Gamma converted rems to sieverts by dividing by 100. He then multiplied the result by 27 because there are 27 picocuries per becquerel. Try it!)

The weighting factor for the lung is 0.12.

Assuming no other organ is affected, what is this worker's dose in rem? (Note: This dose is called the "committed effective dose equivalent." See main article.) Round to 2 decimal points. What is the committed effective dose equivalent in sieverts?

Hint: The dose conversion factor is used to convert radiation intake into dose. The weighting factor converts the lung dose into the effective dose equivalent.