A one gram sample of thorium contains 2 64 1021 atoms and undergoes a decay with a half life of 1 913 yr (1 677 104 h) Each disintegration releases an energy of 5 52 MeV (8 83 10 13 J) Assume that all of the energy is used to heat a 3 8 kg sample of water Concepts (i) How much heat Q is needed to raise the temperature of a mass m of water by T degrees (ii) The energy released by each disintegration is E What is the total energy E total released by a number n of disintegrations (iii) What is the number n of disintegrations that occur during a time t Calculations Find the change in temperature of the 3 8 kg sample of water that occurs in one hour 90

Question: A one-gram sample of thorium contains 2.64 1021 atoms and undergoes a decay with a half-life of 1.913 yr (1.677 104 h). Each

A one-gram sample of thorium contains 2.64 × 1021 atoms and undergoes a decay with a half-life of 1.913 yr (1.677 × 104 h). Each disintegration releases an energy of 5.52 MeV (8.83 × 10^–13 J). Assume that all of the energy is used to heat a 3.8-kg sample of water.

Concepts:

(i) How much heat Q is needed to raise the temperature of a mass m of water by ΔT degrees?

(ii) The energy released by each disintegration is E. What is the total energy E_total released by a number n of disintegrations?

(iii) What is the number n of disintegrations that occur during a time t? Calculations: Find the change in temperature of the 3.8-kg sample of water that occurs in one hour.

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i According to Equation 124 the heat needed is Q cmT where the specific heat capacity of water is c ... View full answer

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