answer the following question with handwritten neat and clean solution

Activity 3. 3 RATES OF NUCLEAR DECAY Answer the following problems. Number Problems 1 The radioactive nuclide Co has a half-life of 17.5 hours. What mass of Co remains from a 0.0100 gram sample after 24.0 hours have elapsed? 2 The half-life of 'Fe is 44.6 days. How long will it take for 95.0% of a sample of this nuclide to decay? 3 A sample of ,Ca, a B emitter, has an activity of 0.1000 pCi. In 60.0 days, the activity of the sample has declined to 0.0775 pCi. What is the half-life of $ Ca? 4 The half-life of tritium (hydrogen-3) is 12.3 years. If 48.0 milligrams of tritium is released from a nuclear power plant during course of an accident, what mass of this nuclide will remain after 12.3 years? After 49.2 years? 5 A sample of curium-243 was prepared. After 1.00 year, the activity of the sample had declined from 3012 disintegrations per second to 2921 disintegrations per second what is the half-life of the decay process? 6 A freshly isolated sample of "Y was found to have an activity of 9.8 x 10" disintegrations per minute at 1.00Pm on December 3, 1992. At 2:15 PM on December 17, 1992, its activity was predetermined and found to be 2.6 x 10' disintegrations per minute. Calculate thee half-life of DY. 7 The carbon from the heartwood of a giant sequoia tree gives 11 2C counts per minute per gram of carbon, whereas the wood from the outer portion of the tree gives 15 0 per minute per gram of carbon. How old is the tree? The half-life of 1;C is 5730 years. 8 A wooden artifact from a Chinese temple has a "C activity of 24.9 counts per minute as compared with an activity of 32.5 counts per minute for a standard zero age. From the half-life for "C decay, 5715 years, determine the age of the artifact