Chapter 19, Problem 8Q

Interpretation Introduction

Interpretation: Use of radioactive decay of ${}^{176}\text{Lu}$ to ${}^{176}\text{Hf}$, estimate the formation of Earth’s crust 4.3 billion years ago is given. Utilization of ratio of ${}^{176}\text{Lu}$ to ${}^{176}\text{Hf}$, date very old rocks is to be stated.

Concept introduction: Radioactive dating is an important method for determining the age of old rocks. It involves comparing the abundance ratio of a radioactive isotope with a reference isotope.

To determine: The decay constant, $K$ and the ratio of ${}^{176}\text{Lu}$ to ${}^{176}\text{Hf}$.