Using appropriate equations in the text, determine 3= (a)...

Using appropriate equations in the text, determine $3=$
(a) the energy in joules corresponding to the destruction of $6.02 \times 10^{-23} \mathrm{g}$ of matter;(b) the energy in mega electron volts that would be released if one $\alpha$ particle were completely destroyed.

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Key Concepts

Mass-Energy Equivalence

This principle, most famously represented by Einstein's equation E = mc², states that mass can be converted into energy and vice versa. It is fundamental to understanding how even a small amount of mass can yield a very large amount of energy, which is key in determining the energy released in scenarios involving the complete conversion of matter.

Mass Unit Conversion

Converting units is an essential step in any calculation involving physical quantities. In problems of mass-energy conversion, it is often necessary to convert mass from grams to kilograms—the standard SI unit—so that the equation E = mc² is applied correctly. This ensures that the resulting energy is calculated in the proper units.

Energy Unit Conversion

Energy unit conversion is important for expressing the energy in a form that is most useful for context, such as converting joules to electron volts (eV) or mega electron volts (MeV). Since one electron volt is defined based on the energy gained by an electron when accelerated through a potential difference, using the appropriate conversion factors allows the energy to be compared or expressed in terms used commonly in atomic and particle physics.

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