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Chapter 29: Problem 5

Write the symbol (in the form \(_{Z}^{A} \mathrm{X}\) ) for the isotope of potassium with 21 neutrons.

Short Answer

Expert verified
Answer: The symbol for a potassium isotope with 21 neutrons is $_{19}^{40} \mathrm{K}$.

Step by step solution

01

Find the element symbol and atomic number of potassium

Look up potassium in the periodic table and see that its element symbol is K, and its atomic number (Z) is 19, denoting 19 protons.
02

Determine the mass number (A)

The mass number (A) is the sum of protons and neutrons in the nucleus. Since potassium has 19 protons and 21 neutrons are present in this specific isotope, the mass number (A) can be calculated as: A = Protons + Neutrons = 19 + 21 = 40.
03

Write the symbol for the isotope

Now that we have the atomic number (Z) and mass number (A) for this potassium isotope, we can write the symbol in the \(_{Z}^{A} \mathrm{X}\) format, resulting in: \(_{19}^{40} \mathrm{K}\).

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Most popular questions from this chapter

A radioactive sample has equal numbers of \(^{15} \mathrm{O}\) and $^{19} \mathrm{O}$ nuclei. Use the half-lives found in Appendix B to determine how long it will take before there are twice as many \(^{15} \mathrm{O}\) nuclei as \(^{19} \mathrm{O} .\) What percent of the \(^{19} \mathrm{O}\) nuclei have decayed during this time?
Once Rutherford and Geiger determined the charge-to mass ratio of the \(\alpha\) particle (Problem 71 ), they performed another experiment to determine its charge. An \(\alpha\) source was placed in an evacuated chamber with a fluorescent screen. Through a glass window in the chamber, they could see a flash on the screen every time an \(\alpha\) particle hit it. They used a magnetic field to deflect \(\beta\) particles away from the screen so they were sure that every flash represented an alpha particle. (a) Why is the deflection of a \(\beta\) particle in a magnetic field much larger than the deflection of an \(\alpha\) particle moving at the same speed? (b) By counting the flashes, they could determine the number of \(\alpha\) s per second striking the screen (R). Then they replaced the screen with a metal plate connected to an electroscope and measured the charge \(Q\) accumulated in a time \(\Delta t .\) What is the \(\alpha\) -particle charge in terms of \(R, Q,\) and \(\Delta t ?\)
To make an order-of-magnitude estimate of the energy level spacing's in the nucleus, assume that a nucleon is confined to a one-dimensional box of width \(10 \mathrm{fm}\) (a typical nuclear diameter). Calculate the energy of the ground state.
Write the symbol (in the form \(_{Z}^{A} \mathrm{X}\) ) for the nuclide with 38 protons and 50 neutrons and identify the element.
Calculate the activity of \(1.0 \mathrm{g}\) of radium- 226 in Ci.
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