Calculate the total number of atoms and total mass of 99mTc present in 15 mCi (555 MBq) 99mTc activity (t1/2 = 6 h).
A=Nln2T1/2, ⟹ A=\frac {N\ln2}{T_{1/2}},\impliesA=T1/2Nln2,⟹
N=AT1/2ln2=17.3⋅1012;N=\frac{AT_{1/2}}{\ln 2}=17.3\cdot 10^{12};N=ln2AT1/2=17.3⋅1012;
N=mMNA, ⟹ N=\frac mMN_A,\impliesN=MmNA,⟹
m=NMNA=2.85⋅10−12 kg.m=\frac{NM}{N_A}=2.85\cdot 10^{-12}~kg.m=NANM=2.85⋅10−12 kg.
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