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An isotope of gallium, 67Ga, has an atomic number of 31 and a half-life of 78 hours. Consider a small mass of 3.9 grams for 67Ga which is initially pure.
1) Initially, what is the half-life of the gallium?
2) Initially, what is the initial decay constant of the Ga atom in the sample?
3) Initially, what is the decay rate of the gallium?
4) What is the half-life of the gallium after 24 hours?
5) Initially, what is the initial decay constant of the Ga atoms after 24 hours?
6) What is the decay rate of the gallium after 24 hours?
1) Initial t1/2=78hrs
2)initial decay constant=0.693/t1/2
3)decay rate = decay constant*number of particles
=3.12*1023particles per hr
Or 3.024*1016 Cu
4)Half life remains same after 24 hrs
5)Decay constant remains same after 24 hrs
6)decay rate= decay constant *no. of particles
The math is attatched as an image
An isotope of gallium, 67Ga, has an atomic number of 31 and a half-life of 78...
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