Calculation of specific activity when element consists of two isotopes

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The discussion focuses on calculating the specific activity of natural rubidium chloride, which contains two isotopes: stable Rb-85 and radioactive Rb-87, with Rb-87 having an abundance of 27.83%. The specific activity is defined as the ratio of activity to mass, where activity is determined by the product of the decay constant and the number of atoms of the radionuclide. For rubidium chloride, the relevant atomic masses are provided, including A(r) for Rb and M(r) for RbCl. The formula for specific activity involves the total activity of the radionuclides in the numerator and the total mass of all nuclides in the denominator. Accurate calculations require careful consideration of the isotopic composition and their respective contributions to the overall activity.
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The element rubidium consists of two isotopes; the stable Rb-85 and the radioactive Rb-87 (abundance 27.83%). What is the specific activity of natural rubidium chloride? if you use A(r)=85.47 g.mol-1 for Rb-element, A(r)= 86.91 g.mol-1 for Rb-87, and M(r) = 120.92 g.mol-1 for RbCl.
 
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Specific activity is simply activity divided by mass, and activity is simply the product of the decay constant and the number of atoms of particular radionuclide present.

So if one is measuring an alloy or compound of radionuclides and stable atoms, then the specific activity would be the ratio of the activity (∑λiNi)/(∑AjNj), where N is the number of atoms of a given isotope. The numerator includes on the activity of radionuclides, whereas the denominator includes the mass of all nuclides.
 

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