Consider that: the tetravalent cation of an isotope has 78 electrons and 128 neutrons; Nuclear relative mass of the same cation is 1.44% higher than the relative nuclear mass of its most common isotope based on these data, calculate the number of neutrons isotope.
To calculate the number of neutrons in the isotope, we need to use the information provided about the tetravalent cation and its relative nuclear mass.
Let's break down the information and steps to solve the problem:
1. The tetravalent cation has 78 electrons and 128 neutrons.
2. The relative nuclear mass of the tetravalent cation is 1.44% higher than the relative nuclear mass of its most common isotope.
Now, we can proceed with the calculations to find the number of neutrons in the isotope:
Step 1: Find the relative nuclear mass of the tetravalent cation.
Since we know that the nuclear relative mass of the tetravalent cation is 1.44% higher than the relative nuclear mass of its most common isotope, we can calculate it as follows:
Relative nuclear mass of tetravalent cation = Relative nuclear mass of most common isotope + (1.44% * Relative nuclear mass of most common isotope)
Relative nuclear mass of tetravalent cation = Relative nuclear mass of most common isotope + (0.0144 * Relative nuclear mass of most common isotope)
Relative nuclear mass of tetravalent cation = Relative nuclear mass of most common isotope * (1 + 0.0144)
Step 2: Calculate the number of neutrons in the isotope.
To determine the number of neutrons in the isotope, we subtract the number of electrons from the tetravalent cation. Therefore:
Number of neutrons in the isotope = Total number of nucleons - Number of electrons
Since the total number of nucleons is the sum of protons and neutrons, we can write it as:
Number of neutrons in the isotope = (Relative nuclear mass of tetravalent cation * Atomic mass unit) - Number of electrons
By substituting the values given in the problem into the formula above, we can calculate the number of neutrons in the isotope.