Naturally occurring silver consists of two isotopes: 107^Ag (51.84%) with an isotopic mass of 106.9051 and 109^Ag (48.16%) with an isotopic mass of 108.9048. What is the atomic weight of silver? Check your answer in a periodic table.

Video transcript

Hello, everyone. Today, we have the following problem. Naturally occurring. Element Z consists of two isotopes, one with an abundance of 63.42% with a mass of 106.9334. And another isotope with 36.58% abundance. And an isotopic mass of 108.9329. What is the atomic weight of Z? So solving for our atomic mass of the element Z, we can multiply the mass and the fractional abundance of the isotope for isotope 107. So that is 106.9334. And that is atomic mass units multiplied by its abundance, which is 0.6342. And then we can add that to the isotopic mass of our second isotope 109 Z. And there's 106.9334 multiply that by its abundance of 0.3658. And we can arrive at an answer of 107.9 atomic mass units or answer choice D as our answer. And with that, we have solved the problem overall, I hope this helped and until next time.