The half-life of radium-226 is 1,600 years and the half-life of carbon-14 is 5,730 years. In one to sentences, mathematically prove that the decay constant for radium-226 is larger than the decay constant for carbon-14. (2 points)

Answer 1

The decay constant is calculated as the natural logarithm of 2 divided by the half-life of the substance. Therefore, since 1,600 is smaller than 5,730, the decay constant for radium-226 is larger than the decay constant for carbon-14.