A sample of a pure radioactive isotope Y has molar mass and half-life

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

0.30\,\text{g}

sample of a pure radioactive isotope Y has molar mass

60\,\text{g mol}^{-1}

and half-life

2\,\text{h}

. Take Avogadro’s number

N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}

. (a) Calculate its decay constant

\lambda

. (b) Determine the initial number of nuclei present in the sample. (c) Find the activity of the sample after

6\,\text{h}