Write the correct symbol, with both superscript and subscript, for each of the following. Use the list of elements inside the front cover as needed: (a) the isotope of platinum that contains 118 neutrons, (b) the isotope of krypton with mass number \(84,(\mathbf{c})\) the isotope of arsenic with mass number \(75,(\mathbf{d})\) the isotope of magnesium that has an equal number of protons and neutrons.

Short Answer

Expert verified
The isotopes for the given elements are: (a) \(_{78}^{196}\text{Pt}\), (b) \(_{36}^{84}\text{Kr}\), (c) \(_{33}^{75}\text{As}\), and (d) \(_{12}^{24}\text{Mg}\).

Step by step solution

01

Find the Atomic Number of Platinum

Using the periodic table, we can find that the atomic number of platinum (Pt) is 78. This means that platinum has 78 protons in its nucleus.
02

Calculate the mass number

Platinum has 118 neutrons as given in the exercise. To find the mass number, we add the number of protons to the number of neutrons: \(78 (protons) + 118 (neutrons) = 196\).
03

Write the isotope symbol

Now that we have the mass number (196) and atomic number (78), we write the isotope symbol for platinum: \(_{78}^{196}\text{Pt}\). #b) The isotope of krypton with mass number 84#
04

Find the Atomic Number of Krypton

Using the periodic table, we can find that the atomic number of krypton (Kr) is 36. This means that krypton has 36 protons in its nucleus.
05

Write the isotope symbol

The exercise tells us that the mass number of this particular isotope is 84. With the atomic number of 36, the isotope symbol is: \(_{36}^{84}\text{Kr}\). #c) The isotope of arsenic with mass number 75#
06

Find the Atomic Number of Arsenic

Using the periodic table, we can find that the atomic number of arsenic (As) is 33. This means that arsenic has 33 protons in its nucleus.
07

Write the isotope symbol

The exercise tells us that the mass number of this particular isotope is 75. With the atomic number of 33, the isotope symbol is: \(_{33}^{75}\text{As}\). #d) The isotope of magnesium that has an equal number of protons and neutrons#
08

Find the Atomic Number of Magnesium

Using the periodic table, we can find that the atomic number of magnesium (Mg) is 12. This means that magnesium has 12 protons in its nucleus.
09

Calculate the mass number

We're told that this isotope of magnesium has an equal number of protons and neutrons. Since it has 12 protons, then it also must have 12 neutrons: \(12 (protons) + 12 (neutrons) = 24\).
10

Write the isotope symbol

Now that we have the mass number (24) and atomic number (12), we write the isotope symbol for this magnesium isotope: \(_{12}^{24}\text{Mg}\).

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