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A `0.20 mL` sample of a solution containing `1.0 xx 10^(-7) Ci` of `._(1)H^(3)` is injected into the blood stream of a laboratory animal. After sufficient time of of a circulatory equilibrium to be established, `0.10 mL` of blood is found to have an activity of 20 dpm. Calculate the blood volume of the animal. |
Answer» In the injected sample the activity is `(1.0 xx 10^(7) Ci) ((3.7 xx 10^(10) dps)/(Ci)) = 3.7 xx 10^(3) dps` In the sample withdraw `= (20 dpm)` `(1 "min"//60 s)` `= 0.33 dps` The total activity of the entire blood volume is equal to the activity of the sample injected. The ratio of volumes, where `V` is the original body blood volume: `(3.7 xx 10^(3) dps)/(0.33 dps) = (V + 0.20 mL)/(0.10 mL)` `V = 1.1 xx 10^(3) mL = 1.1 L` |
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