Postby SilverSurfer » Tue Jan 01, 2008 8:46 pm
Thanks, but I still have the same questions. Using a digital platform scale good to +/- one gram, I weighed my six mystery salt spoons at 60 grams. I then weighed a cup filled with water, with and without the mystery spoons. The mass of all three was 350 grams, and that of the cup full of water and no spoons was 296 grams. So, letting M = mass, D = density, and V = volume, I have for the case of all three
Mcup + Mwater + Mspoons = 350 g
Then, without the spoons, I have the mass of the cup plus the mass of the original water plus the mass of the additional water occupying the space that was previously occupied by the spoons (this mass is equal to the density of water times the volume of the spoons), or
Mcup + Mwater + (Dwater x Vspoons) = 296 g
Subtracting the second line from the first, I get
Mspoons - (Dwater x Vspoons) = 54 g,
and since Mspoons = 60 g and Dwater = 1 g/ml,
Vspoons = (60 g - 54 g)/(1 g/ml) = 6 ml, so
Dspoons = Mspoons/Vspoons = 60 g/6 ml = 10 g/ml
The density of pure silver is 10.49 g/ml, that of sterling around 10.4 g/ml, and that of copper, nickel and other likely base metals is under 9 g/cc. So it would appear that the spoons are most likely sterling. BUT ... an error of just 1 gram (the limit of my scale) in the subtraction calculation (60 g - 54 g) is more than enough to throw the answer the other way. ALSO ... it is very difficult to determine when the cup is precisely "filled". I used an eye dropper and stopped as I just began to see a reverse meniscus form as I sighted across the plane of the rim. So the likely errors don't give me a sense of assurance. Is there a technique that can more accurately determine the density, using a simple platform scale? TIA!
SS
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