First, compute the number of each atom in HDBCNOFPSKVYIWULaCePrNdPmTcSmNpPuAmCmCnRgNaLiRuRhAgAuHgTlPbW:
H: 1, B: 1, C: 1, N: 1, O: 1, F: 1, P: 1, S: 1, K: 1, V: 1, Y: 1, I: 1, W: 2, U: 1, La: 1, Ce: 1, Pr: 1, Nd: 1, Pm: 1, Tc: 1, Sm: 1, Np: 1, Pu: 1, Am: 1, Cm: 1, Cn: 1, Rg: 1, Na: 1, Li: 1, Ru: 1, Rh: 1, Ag: 1, Au: 1, Hg: 1, Tl: 1, Pb: 1, D: 1
Then, lookup atomic weights for each element in periodic table:
H: 1.00794, B: 10.811, C: 12.0107, N: 14.0067, O: 15.9994, F: 18.9984032, P: 30.973762, S: 32.065, K: 39.0983, V: 50.9415, Y: 88.90585, I: 126.90447, W: 183.84, U: 238.02891, La: 138.90547, Ce: 140.116, Pr: 140.90765, Nd: 144.242, Pm: 144.912749, Tc: 96.906365, Sm: 150.36, Np: 236.04657, Pu: 238.0495599, Am: 241.0568291, Cm: 243.0613891, Cn: 285.17411, Rg: 280.16447, Na: 22.98976928, Li: 6.941, Ru: 101.07, Rh: 102.9055, Ag: 107.8682, Au: 196.966569, Hg: 200.59, Tl: 204.3833, Pb: 207.2, D: 2.0141017778
Now, compute the sum of products of number of atoms to the atomic weight:
Molar mass (HDBCNOFPSKVYIWULaCePrNdPmTcSmNpPuAmCmCnRgNaLiRuRhAgAuHgTlPbW) = ∑ Counti * Weighti =
Count(H) * Weight(H) + Count(B) * Weight(B) + Count(C) * Weight(C) + Count(N) * Weight(N) + Count(O) * Weight(O) + Count(F) * Weight(F) + Count(P) * Weight(P) + Count(S) * Weight(S) + Count(K) * Weight(K) + Count(V) * Weight(V) + Count(Y) * Weight(Y) + Count(I) * Weight(I) + Count(W) * Weight(W) + Count(U) * Weight(U) + Count(La) * Weight(La) + Count(Ce) * Weight(Ce) + Count(Pr) * Weight(Pr) + Count(Nd) * Weight(Nd) + Count(Pm) * Weight(Pm) + Count(Tc) * Weight(Tc) + Count(Sm) * Weight(Sm) + Count(Np) * Weight(Np) + Count(Pu) * Weight(Pu) + Count(Am) * Weight(Am) + Count(Cm) * Weight(Cm) + Count(Cn) * Weight(Cn) + Count(Rg) * Weight(Rg) + Count(Na) * Weight(Na) + Count(Li) * Weight(Li) + Count(Ru) * Weight(Ru) + Count(Rh) * Weight(Rh) + Count(Ag) * Weight(Ag) + Count(Au) * Weight(Au) + Count(Hg) * Weight(Hg) + Count(Tl) * Weight(Tl) + Count(Pb) * Weight(Pb) + Count(D) * Weight(D) =
1 * 1.00794 + 1 * 10.811 + 1 * 12.0107 + 1 * 14.0067 + 1 * 15.9994 + 1 * 18.9984032 + 1 * 30.973762 + 1 * 32.065 + 1 * 39.0983 + 1 * 50.9415 + 1 * 88.90585 + 1 * 126.90447 + 2 * 183.84 + 1 * 238.02891 + 1 * 138.90547 + 1 * 140.116 + 1 * 140.90765 + 1 * 144.242 + 1 * 144.912749 + 1 * 96.906365 + 1 * 150.36 + 1 * 236.04657 + 1 * 238.0495599 + 1 * 241.0568291 + 1 * 243.0613891 + 1 * 285.17411 + 1 * 280.16447 + 1 * 22.98976928 + 1 * 6.941 + 1 * 101.07 + 1 * 102.9055 + 1 * 107.8682 + 1 * 196.966569 + 1 * 200.59 + 1 * 204.3833 + 1 * 207.2 + 1 * 2.0141017778 =
4680.2635 g/mol
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