Final answer:
The atomic number of an atom with a mass number of 24 and 13 neutrons is 11, corresponding to sodium (Na). The nuclear symbol for the isotope of argon with a mass number of 38 is ^{38}_{18}Ar.
Step-by-step explanation:
To answer the first question, we need to determine the atomic number of an atom that has a mass number of 24 and 13 neutrons. The atomic number is equal to the number of protons in an atom, and given that the mass number is the sum of protons and neutrons, we can calculate the number of protons by subtracting the number of neutrons from the mass number:
Atomic number = Mass number - Number of neutrons
Atomic number = 24 - 13
Atomic number = 11
Therefore, the atomic number of this atom is 11, which corresponds to the element sodium (Na).
For the second question, the nuclear symbol for the isotope of argon with a mass number (A) of 38 is 38Ar. The atomic number of argon is 18, and it is typically written as a subscript before the symbol: 3818Ar.