(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a crown that is supposed to be pure gold has a mass of 850g. Its apparent mass when immersed in water is 798g. (a) what is the volume of the crown? (b)is it pure gold?If not, what is the percentage by volume of gold in the crown assuming that the crown is an alloy of lead and gold?

2. Relevant equations

density = m/v

specific gravity = weight of object in air /weight of object in air - weight of object immersed in water

density of gold = 19300kg/m^3

density of lead = 11300kg/m^3

3. The attempt at a solution

converted 850g to kg. 850g/1000g=.85kg

converted .85kg to weight. .85*9.8m/s^2=8.33 newton

converted 798g to kg. 798g/1000g = .798kg

converter 798kg to weight. .798*9.8m/s^2=7.8204

used specific gravity

sp gr= 8.33N/8.33N - 7.8204N

cancel newton

16.34615

since specific gravity is numerically equal to 1g/cm^3 in cgs system

16.34615*1g/cm^3 = 16.34615g/cm^3

converted 16.34615g/cm^3 to kg/m^3

16.34615g/cm^3 = 16346.15kg/m^3

density of crown = 16346.15kg/m^3

i don't know what's next...

i don't even know if i'm on the right track...

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# Homework Help: Archimedes Principle and Specific Gravity Determination

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