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Calculate the total grams of Pt in 110 kg of an alloy that is composed of...

Calculate the total grams of Pt in 110 kg of an alloy that is composed of 86.5 at% Pt and 13.5 at% Ag.

Solutions

Expert Solution

Consider a sample containing 100 atoms. For example, a sample of Pt-86.5at% and C would contain 86.5 Pt atoms and 13.5 Ag atoms.

Weight of 86.5 Pt atoms (atomic mass = 195.084 u )
= 86.5 x atomic weight of Pt / Avogadro's Constant

= 86.5 x 195.084 / 6.023 x 1023
= 2.801 x 1020 atomic mass units

Weight of 13.5 Ag atoms (Atomic mass = 107.8682 u)
= 13.5 x atomic weight of Ag / Avogadro's Constant

= 13.5 x 107.8682 / 6.023 x 1023 = 0.241 x 1020 atomic mass units
= 0.241 x 1020 atomic mass units

Therefore, wt% of Pt in 110 kg
= Pt weight x 100% / (total weight of C + Fe atoms)
= 2.801 x 110 x 1020/ (2.801 + 0.241) x  1020
=101.25 %

Weight percentage of Pt in 110 Kg alloy = 101.25 %

queen_honey_blossom answered 2 years ago
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