Download PHYS 2220: Physics for Scientists and Engineers II

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5. The radium isotope 223 Ra (with mass 223.018499 u and half life 11.43 days) decays to the radon
isotope 119 Rn (with mass 219.009477 u) by emitting an alpha particle (with mass 4.002606 u),
Ra −→
Rn + α + energy.
You happen to have a 1 gram cube of radium and decide to boil some water for tea. You fill a well
insulated container with 100 mL of water at 18◦ C and drop in the cube of radium.
(a) What is the total energy released per reaction, in Joules?
(b) How many reactions are necessary to heat the water to the boiling point (assume water has a
specific heat of 4186 kgJ K ? Calculate this as a fraction of the total number of radium atoms in
the sample.
(c) How long does it take to heat up the water?
(d) Is this a good idea? Answer: No.