Estimate the total thermal energy of the following systems at 290 K:
(a) the air in your bedroom (one mole occupies 22.4 liters at 0 °C);
(b) the iron atoms in a 5 gram nail (the atomic mass number for iron is 56);
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(c) A diamond of mass 0.1 gram (the atomic mass number of carbon is 12);
(d) the Pacific Ocean (0.7 × 109 km3 of water, each molecule having six degrees of freedom).