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Chapter 24: 24.141 CP (page 1108)

Use Einstein’s equation, the mass in grams of 1 amu, and the relation between electron volts and joules to find the energy equivalent (in MeV) of a mass difference of 1 amu.

Short Answer

Expert verified

The energy equivalent (in MeV) of a mass difference of 1 amu is 931.5 MeV.

Step by step solution

01

Nuclear energy

Nuclear energy is generated by protons and neutrons in the nucleus, the atom's centre. This type of energy can be generated in two ways: fission, which occurs when atom nuclei split into several pieces, or fusion, which occurs when nuclei fuse together.

02

Calculation

From Einstein's equation:

$E = m c^{2}$

$E = \frac{1 a m u \times 1.66 \times 10^{- 24} g / a m u \times {(3.0 \times 10^{8} c m / s)}^{2}}{1.602 \times 10^{- 19} \times 10^{6} C} = 931.5 M e V$

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Most popular questions from this chapter

Question:What is the most likely mode of decay for each?

(a) ${}^{106}{In}$

(b) ${}^{141}{Eu}$

(c) ${}^{241}{Am}$

A rock contains_$μ$mol of $^{238} U (t_{1/2} {=4.5×10}^{9} yr)$ and110mol of $^{206} Pb$ Assuming that all the $^{206} Pb$ comes from decay of the , estimate the rock’s age.

Question:What is the reaction order of radioactive decay? Explain.

A steel part is treated to form some iron-59 . Oil used to lubricate the part emits298 particles (with the energy characteristic of $^{59} Fe$ ) per minute per milliliter of oil. What other information would you need to calculate the rate of removal of the steel from the part during use?

The reaction that allows for radiocarbon dating is the continual formation of carbon-14 in the upper atmosphere:

${}_{7}^{14}N +_{0}^{1} n \to_{6}^{14} C +_{1}^{1} H$

What is the energy change associated with this process in eV/reaction and in kJ/mol reaction? (Masses of atoms: ${}_{7}^{14}N = 14.003074$ amu; ${}_{6}^{14}C = 14.003241$ amu; ${}_{1}^{1}H = 1.007825$ amu; ${}_{0}^{1}n = 1.008665$ amu.)

See all solutions

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