A small quantity of solution containing Na^{2 | vedclass

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Question

(A) Initial activity $R_0 = 1 \, \mu Ci = 10^{-6} 	imes 3.7 	imes 10^{10} \, dps = 3.7 	imes 10^4 \, dps$.Activity of the sample at time $t = 5 \,

Vedclass · Accepted Answer

$5.94$

Vedclass · Answer

(A) Initial activity $R_0 = 1 \, \mu Ci = 10^{-6} 	imes 3.7 	imes 10^{10} \, dps = 3.7 	imes 10^4 \, dps$.Activity of the sample at time $t = 5 \, hours$ is $r = \frac{296}{60} \, dps = 4.933 \, dps$ per $cm^3$.The activity of the whole blood at time $t$ is given by $R = R_0 e^{-\lambda t}$.Given $e^{-\lambda t} = 0.7927$, the activity of the total blood volume $V$ at time $t$ is $R = 3.7 	imes 10^4 	imes 0.7927 \, dps$.Since $R = V 	imes r$, the total volume $V = \frac{R}{r} = \frac{3.7 	imes 10^4 	imes 0.7927}{4.933} \, cm^3$.$V \approx 5945 \, cm^3 = 5.945 \, Liters$.Rounding to the given option, the total volume is $5.94 \, Liters$.

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