Here is the whole question....
The density of gold is 19.3g/cm3 and silver is 10.5g/cm3.
A crown with a mass of 1000g displaces 56.0ml of water. How many grams of gold and how many grams of silver are in the crown?
2006-06-15 09:18:00 · 3 answers · asked by mlharris_98 1 in Science & Mathematics ➔ Chemistry
Density of the crown: 1000 / 56 = 17.857 g/ml (which is very nearly the same as 17.856 g/cm3)
Crown is 7.357 g/cm more than silver and 1.443 g/cm less than gold; therefore the proportions of the two metals are 1.443 parts silver to 7.357 parts gold. Expanding to 1000 grams = 163.98 g silver, and 836.02 g gold.
2006-06-15 09:32:55 · answer #1 · answered by Keith P 7 · 0⤊ 0⤋
g = grams of gold in crown
s = grams of silver in crown
g + s = 1000
g / 19.3 + s / 10.5 = 56
g / 19.3 = 56 - s / 10.5
g = 19.3 (56 - s / 10.5) = 1080.8 - 1.838s
(1080.8 - 1.838s) + s = 1000
-.838s = -80.8
s = 96.42 grams
g + 96.42 = 1000
g = 903.58 grams
There are 96.42 grams of silver and 903.58 grams of gold in the crown.
2006-06-15 18:55:23 · answer #2 · answered by jimbob 6 · 0⤊ 0⤋
This is a binary alloy consist of silver and gold
the equation is a straight line: y =mx+b
862.57g of gold
137.43g of sliver
2006-06-16 03:33:11 · answer #3 · answered by bige1236 4 · 0⤊ 0⤋