Concept explainers
(a)
Check whether the decay
(a)
Answer to Problem 45P
Since the disintegration energy is negative,
Explanation of Solution
Write the equation to find the disintegration energy.
Here,
Write the equation for
Here,
Conclusion:
Substitute
Negative value of
Thus, since the disintegration energy is negative,
(b)
Check whether the decay
(b)
Answer to Problem 45P
Since the disintegration energy is negative,
Explanation of Solution
Write the equation for
Here,
Conclusion:
Substitute
Negative value of
Thus, since the disintegration energy is negative,
(c)
Check whether the decay
(c)
Answer to Problem 45P
Since the disintegration energy is possible,
Explanation of Solution
Write the equation for
Here,
Conclusion:
Substitute
Positive value of
Thus, since the disintegration energy is possible,
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Chapter 13 Solutions
EBK MODERN PHYSICS
- Derive an approximate relationship between the energy of (decay and halflife using the following data. It may be useful to graph the leg t1/2 against Ea to find some straightline relationship. Table 31.3 Energy and HalfLife for (Decay Nuclide E( (MeV) t1/2 216Ra 9.5 0.18 (s 194Po 7.0 0.7 s 240Cm 6.4 27 d 226Ra 4.91 1600 y 232Th 4.1 1.41010yarrow_forward(a) Calculate the energy released in the a decay of 238U. (b) What fraction of the mass at a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is laws for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forwardThe Galileo space probe was launched on its long journey past Venus and Earth in 1989, with an ultimate goal of Jupiter. Its power source is 11.0 kg of 238Pu, a by-product of nuclear weapons plutonium production. Electrical energy is generated thermoelectrically from the heat produced when the 5.59-MeV a panicles emitted in each decay crash to a halt inside the plutonium and its shielding. The half-life of 238Pu is 87.7 years. What was the original activity of the 238Pu in becquerels? What power was emitted in kilowatts? What power was emitted 12.0 y after launch? You may neglect any extra energy from daughter nuclides and any losses from escaping rays.arrow_forward
- (a) Neutron activation of sodium, which is 100% 23Na, produces 24Na, which is used in some heart scans, as seen in Table 32.1. The equation for the reaction is 23Na+n24Na+ . Find its energy output, given the mass of 24Na is 23.990962 u. (b) What mass at 24Na produces the needed 5.0mCi activity, given its halflife is 15.0 h?arrow_forward(a) Calculate the energy released in the a decay of 238U . (b) What fraction of the mass of a single 238U is destroyed in the decay? The mass of 234Th is 234.043593 u. (c) Although the fractional mass loss is large for a single nucleus, it is difficult to observe for an entire macroscopic sample of uranium. Why is this?arrow_forward(a) Write the complete decay equation for 90Sr, a major waste product of nuclear reactors, (b) Find the energy released in the decay.arrow_forward
- Data from the appendices and the periodic table may be needed for these problems. Unreasonable Results A nuclear physicist finds 1.0 (g of 236U in a piece of uranium ore and assumes ii is primordial since its halflife is 2.3107y. (a) Calculate the amount at 236U that would had to have been on Earth when it formed 4.5109y ago for 1.0 (g to be left today. (b) What is unreasonable about this result? (c) What assumption is responsible?arrow_forward(a) Write the complete a decay equation for 226Ra. (b) Find the energy released in the decay.arrow_forward(a) Calculate BE/A for 235U, the rarer of the two most common uranium isotopes. (b) Calculate BE/A for 238U. (Most of uranium is 238U.) Note that 238U has even numbers at both protons and neutrons. Is the BE/A of 238U significantly different from that of 235U?arrow_forward
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