47. the amount of carbon - 14 in ancient artifacts and fossils is often used to establish their age…

47. the amount of carbon - 14 in ancient artifacts and fossils is often used to establish their age. determine the number of protons and neutrons in a carbon - 14 isotope and write its symbol in the form $_z^a x$.
Answer
Explanation:
Step1: Recall atomic number of carbon
Carbon has an atomic number (Z = 6). The atomic number is equal to the number of protons. So, the number of protons (p=6).
Step2: Calculate number of neutrons
The mass - number (A) of carbon - 14 is 14. The mass - number (A=n + p), where (n) is the number of neutrons and (p) is the number of protons. So, (n=A - p). Substituting (A = 14) and (p = 6), we get (n=14 - 6=8).
Step3: Write the isotope symbol
The general form of an isotope symbol is (_Z^A X), where (X) is the chemical symbol of the element, (A) is the mass - number and (Z) is the atomic number. For carbon - 14, (X = C), (A = 14) and (Z = 6). So the symbol is (_6^{14}C).
Answer:
Number of protons: 6, Number of neutrons: 8, Symbol: (_6^{14}C)