An isotope, X, of a particular element has an atomic number of 15 and a mass number of 31.
Which of the following statements are true?
I. X is an isotope of phosphorus.
II. X has 16 neutrons per atom.
III. X has an atomic mass of 30.973
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To find the correct statements, let's go through each one and determine whether it is true or false based on the information given.
I. X is an isotope of phosphorus.
To determine if X is an isotope of phosphorus, we need to identify the element with an atomic number of 15. The atomic number represents the number of protons in an atom. By looking at the periodic table, we can see that the element with an atomic number of 15 is phosphorus. Therefore, Statement I is true.
II. X has 16 neutrons per atom.
To calculate the number of neutrons, we need to subtract the atomic number from the mass number. In this case, the mass number of X is 31, and the atomic number is 15. Subtracting 15 from 31 gives us 16 neutrons. Therefore, Statement II is true.
III. X has an atomic mass of 30.973.
The atomic mass is the weighted average of the masses of all the isotopes of an element. The given mass number of X is 31, which is the mass of a particular isotope. However, it does not represent the atomic mass of the element. Statement III is false because the atomic mass of an isotope is different from its mass number.
In conclusion, Statements I and II are true, and Statement III is false.