prettykevahk
09.10.2020 •
Chemistry
The purity of gold is measured in karats, with pure gold being 24 karats. other purities of gold are expressed as proportional parts of pure gold. thus 18-karat gold is startfraction 18 over 24 endfraction 18 24, or 75% pure gold; 12-karat gold is startfraction 12 over 24 endfraction 12 24, or 50% pure gold; and so on. how much 2020-karat gold should be mixed with pure gold to obtain 8080 grams of 2222-karat gold? how much 2020-karat gold should be used?
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Ответ:
40.2g of the 20 karat gold must be mixed with pure gold to obtain the 22 karat gold
Explanation:
The purity of a 22 karats gold is:
22/24 * 100 = 91.6% of purity
From a gold that is:
20/24 * 100 = 83.3% of purity
We can write:
80g = X + Y (1)
Where X is the mass of the 20-karat gold and Y the mass of pure gold
And in therms of purity:
91.6*80 = 83.3X + 100Y (2)
Replacing (1) in (2):
7328 = 83.3X + 100(80-X)
7328 = 83.3X -100X + 8000
-672 = -16.7X
X =
40.2g of the 20 karat gold must be mixed with pure gold to obtain the 22 karat goldОтвет: