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Problems are listed in approximate order of difficulty. A single dot (•) indicates straigh...

Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.

• When two molecules of hydrogen combine with one molecule of oxygen to form two water molecules,

 2H2 + O2 → 2H2O

the energy released is 5 eV. (a) What is the mass difference between the three original molecules and the two final ones? (b) Given that the water molecule has mass about 3 × 10−26 kg, what is the fractional change in mass, ΔM/(total mass)? (Does it matter significantly whether you use the initial or final total mass?) (c) If one were to form 10 g of water by this process, what would be the total change in rest mass?

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