Monel metal is a corrosion-resistant copper-nickel alloy used in the electronics industry. a particular alloy with a density of 8.80 g/cm3 and containing 0.073% si by mass is used to make a rectangular plate that is 15.0 cm long, 12.5 cm wide, and 2.50mm thick and has a 2.50-cm-diameter hole drilled through its center such that the height of the hole is 2.50mm .

the silicon in the plate is a mixture of naturally occurring isotopes. one of the those isotopes is silicon-30, which has an atomic mass of 29.97376 amu and a percent natural abundance of 3.10%

how many silicon-30 atoms are found in this plate?
express your answer numerically using two significant figures.

Answer is: there are 1.82·10²⁰ silicon-30 atoms.

V₁(alloy) = 15 cm · 12.5 cm · 0.25 cm.

V₁(alloy) = 46.875 cm³; volume of the alloy without hole.

V(hole) = 0.25 cm · (1.25 cm)² · 3.14.

V(hole) = 1.23 cm³

V₂(alloy) = 46.875 cm³ - 1.23 cm³.

V₂(alloy) = 45.65 cm³; volume of the alloy with hole.

m(alloy) = V₂(alloy) · d(alloy).

m(alloy) = 45.65 cm³ · 8.80 g/cm³.

m(alloy) = 401.7 g; mass of the alloy.

ω(Si) = 0.073% ÷ 100%.

ω(Si) = 0.00073.

m(Si) = ω(Si) · m(alloy).

m(Si) = 0.00073 · 401.7 g.

m(Si) = 0.293 g; mass of silicon it the alloy.

m(Si-30) = m(Si) · ω(Si-30).

m(Si-30) = 0.293 g · 0.031.

m(Si-30) = 0.0091 g; mass of the silicon-30.

n(Si-30) = m(Si-30) ÷ M(Si-30).

n(Si-30) = 0.0091 g ÷ 29.97376 g/mol.

n(Si-30) = 0.000303 mol; amount of the silicon-30.

N(Si-30) = n(Si-30) · Na (Avogadro constant).

N(Si-30) = 0.000303 mol · 6.022·10²³ 1/mol.

N(Si-30) = 1.824·10²⁰.

beta decay is the answer

the food using pesticides in the future will harm you by giving you diseases like cancer or something since they have things that we should not eat in it like chemicals or pesticides. that is why organic food is more expensive because they take the time to make it right and healthy for you to eat.

explanation: