easy examples for Given the average atomic mass of an element, find the % abundance of its isotopes

Example 1: Average atomic mass: 15.8 Isotope A mass: 14 Isotope B mass: 16

To find the percentage abundance: Let's assume the abundance of Isotope A is x, and the abundance of Isotope B is y.

Equation 1: (x * 14) + (y * 16) = 15.8 Equation 2: x + y = 100

Solving the equations, we find that x = 40 and y = 60.

Answer: Isotope A: 40% abundance Isotope B: 60% abundance

Example 2: Average atomic mass: 18.9 Isotope A mass: 17 Isotope B mass: 20

To find the percentage abundance: Let's assume the abundance of Isotope A is x, and the abundance of Isotope B is y.

Equation 1: (x * 17) + (y * 20) = 18.9 Equation 2: x + y = 100

Solving the equations, we find that x = 30 and y = 70.

Answer: Isotope A: 30% abundance Isotope B: 70% abundance

Example 3: Average atomic mass: 27.5 Isotope A mass: 26 Isotope B mass: 28

To find the percentage abundance: Let's assume the abundance of Isotope A is x, and the abundance of Isotope B is y.

Equation 1: (x * 26) + (y * 28) = 27.5 Equation 2: x + y = 100

Solving the equations, we find that x = 60 and y = 40.

Answer: Isotope A: 60% abundance Isotope B: 40% abundance