An engine wear test is to be carried out in which the weight of radioactive piston ring particles in an oil sample is to

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An engine wear test is to be carried out in which the weight ofradioactive piston ring particles in an oil sample is to bedetermined. A sample of the used oil gives 13,834 counts over a3-min period. A standard has been prepared using exactly 100 kg ofthe same activity material which gives 91,396 counts over a 10-minperiod. Background for the detector has been determined to be 281counts/min, measured over a very long counting period (~24 h). Findthe weight of the particles in the sample and its expectedfractional standard deviation. (please include all units)