Date: __________________ Decay Law 1. The graph of the activity A of a radioactive sample against time t is shown below. A / MBq 4 3 2 1 0 t/s 10 20 30 40 50 Find (a) the decay constant of the sample. (b) the number of undecayed nuclei at t = 0. (c) the number of undecayed nuclei at t = 75. (3 marks) (2 marks) (2 marks) 2. Xenon-133 (Xe-133) is a radioisotope used in lung and liver imaging. It has a half-life of 126 hours and an atomic number of 54. Xenon-133 would undergo beta decay and turn into caesium-133 (Cs-133). (a) How many nucleons are there in a xenon-133 nucleus? (1 mark) (b) Write down the nuclear equation for the beta decay of xenon-133. (2 marks) (c) Find the decay constant of xenon-133 in s−1. (2 marks) (d) A sample of xenon-133 has an activity of 2 × 108 Bq. Calculate its activity after 240 hours. (2 marks) Date: __________________ Decay Law 1. The graph of the activity A of a radioactive sample against time t is shown below. A / MBq 4 3 2 1 0 t/s 10 20 30 40 50 Find (a) the decay constant of the sample. (b) the number of undecayed nuclei at t = 0. (c) the number of undecayed nuclei at t = 75. (3 marks) (2 marks) (2 marks) 2. Xenon-133 (Xe-133) is a radioisotope used in lung and liver imaging. It has a half-life of 126 hours and an atomic number of 54. Xenon-133 would undergo beta decay and turn into caesium-133 (Cs-133). (a) How many nucleons are there in a xenon-133 nucleus? (1 mark) (b) Write down the nuclear equation for the beta decay of xenon-133. (2 marks) (c) Find the decay constant of xenon-133 in s−1. (2 marks) (d) A sample of xenon-133 has an activity of 2 × 108 Bq. Calculate its activity after 240 hours. (2 marks)