A diagnostic scan requires a patient to have an activity of of (

PHYSICS · Subjective · CBSE · Physics · Nuclei · Nuclei

Problem

A diagnostic scan requires a patient to have an activity of

5.0\times10^{7}\,\text{Bq}

^{99\mathrm{m}}\text{Tc}

(

T_{1/2}=6.0\,\text{h}

, molar mass

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

) at the time of imaging, which will occur

10\,\text{h}

after administration. Calculate the mass of

^{99\mathrm{m}}\text{Tc}

(in micrograms) that must be injected now to achieve the required activity. (Use

N_A = 6.02\times10^{23}\,\text{mol}^{-1}

and

1\,\text{h}=3600\,\text{s}