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cant understand 5 The number of radioactive atoms, /, in a sample of a sodium isotope after time t hours can be modelled by N

cant understand

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5 The number of radioactive atoms, /, in a sample of a sodium isotope after time t hours can be modelled by N = Noe-kt where No is the initial number of radioactive atoms in the sample and & is a positive constant. The model remains valid for large numbers of atoms. 5 (a) It takes 15.9 hours for half of the sodium atoms to decay. Determine the number of days required for at least 90% of the number of atoms in the original sample to decay. [5 marks] (b) Find the percentage of the atoms remaining after the first week. Give your answer to two significant figures. [2 marks] 5 (c) Explain why the model can only provide an estimate for the number of remaining atoms. [1 mark] 5 (d) Explain why the model is invalid in the long run. [1 mark]

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