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Please give me the 100% soultion White Gold alloy is 90% Gold and 10% Nickel by

ID: 1860052 • Letter: P

Question

Please give me the 100% soultion

White Gold alloy is 90% Gold and 10% Nickel by weight. Assume that Gold has a density of rho = 19.3g/cm3 and Nickel has a density of rho=- 8.900g/cm3. Assume that this White Gold alloy is used for a dental crown to cap a bad tooth. What is the density of White Gold alloy in kg/m3? What is the specific gravity S of White Gold alloy? The White Gold alloy dental crown weighs 0.08N when suspended in air. What will it weigh when suspended in water at a temperature of T=50 deg C? Draw the free body force diagrams for each case. Ignore the buoyant force of air. What is the volume of the White Gold alloy dental crown? Gold is worth $39/g. If you have 8 teeth with Gold crowns, how much is your mouth worth?

Explanation / Answer

1)Dg = Mg/Vg


Dn = Mn/Vn


Dmix = (Mg+Mn)/(Vg+Vn)


Dmix = D = (Mg+Mn)/(Mg/Dg+Mn/Dn) = 17.28 g/cm^3


2)S = 17.28


3) Vol of the White gold (V )= M/D = 100/17.28 = 5.79 cm^3


Therefore Vol of water displaced = vol of the white gold = 5.79 cm^3


Bouyancy Force (F) = density of water* Vdis*g = 1000*5.79*10^-6*10 = 0.0579 N


Weight in water = W -F = 0.08-0.0579 = 0.0221 N


4) Vol of the White gold (V )= M/D = 100/17.28 = 5.79 cm^3


5)Volume of the gold = Mg/Dg = 90/19.3 = 4.66


Total Gold cost =no.of teeth*Gold worth*mass= 8*39*4.66*19.3 Dollars = 28,060.656 Dollors