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A solution containing active cobalt 60/27 Co having activity of 0.8 μCi and decay constant λ is injected in an animal's body. If 1 cm³ of blood is drawn from the animal's body after 10 hrs of injection, the activity found was 300 decays per minute. What is the volume of blood that is flowing in the body? (1Ci = 3.7×10¹⁰ decay per second and at t = 10 hrs = e⁻λt = 0.84)
- 6 litres
- 7 litres
- 4 litres
- 5 litres
Correct answer: 5 litres
Solution
The correct option is 5 litres because the activity measured in the blood after 10 hours, combined with the known decay constant and initial activity, allows us to calculate the total volume of blood in the body. Using the decay formula and the given activity, we find that the total blood volume corresponds to 5 litres.
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