How long will it take for a 10-mCi (370 MBq) sample of 32P(t1/2 ¼ 14.3 days) and a 100-mCi(3.7 GBq)sampleof67Ga(t1/2 ¼ 3.2 days) topossess the same activity?
A1=A012−tT1/2, 1,A_1=A_{01}2^{-\frac t{T_{1/2,~1}}},A1=A012−T1/2, 1t,
A2=A022−tT1/2, 2,A_2=A_{02}2^{-\frac t{T_{1/2,~2}}},A2=A022−T1/2, 2t,
A1=A2, ⟹ A_1=A_2,\impliesA1=A2,⟹
t=T1T2T1−T2log2A02A01=13.7h.t=\frac{T_1T_2}{T_1-T_2}\log _2 \frac{A_{02}}{A_{01}}=13.7^h.t=T1−T2T1T2log2A01A02=13.7h.
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