A one-gram sample of thorium 2287 n -50 Th contains 2.64 x 10 atoms and undergoes a decay with a half-life of 1.913 yr (1.677 x 104 h).Each disintegration releases an energy of 5.52 MeV (8.83 x 10-15 J). Assuming that all of the energy is used to heat a 3.67-kg sample of water, find the change in temperature of the sample that occurs in one hour. Number UnitsMultiple-Concept Example 1 discusses the concepts that are relevant to this problem. A person undergoing radiation treatment for a cancerous growth receives an absorbed dose of 2.8 Gy. All the radiation is absorbed by the growth. If the growth has a specific heat capacity of 4400 J/(kg .Co), determine the rise in its temperature. Number UnitsA film badge worn by a radiologist indicates that she has received an absorbed dose of 3.0 x 10" Gy. The mass of the radiologist is 65 kg. How much energy has she absorbed? Number UnitsA beam of nuclei is used for cancer therapy. Each nucleus has an energy of 108 MeV, and the relative biological effectiveness (RBE) of this type of radiation is 16. The beam is directed onto a 0.200-kg tumor, which receives a biologically equivalent dose of 218 rem. How many nuclei are in the beam? Number UnitsMultiple-Concept Example 1 uses an approach similar to that needed in this problem, except here the temperature remains constant while a phase change occurs. A sample of a liquid undergoes a phase change from liquid to gas because it is irradiated with a large dose of ionizing radiation. If the latent heat of vaporization of the liquid is 29.6 x 10" J/kg, what is the absorbed dose of the radiation in rads? Number Units