How many grams silver is added to 13 grams gold to produce 85% gold alloy?
I assume the percent you want is w/w.
(grams solute/grams solution)*100 = % w/w
[(x)/(x+13)]*100 = 85
Solve for x
I tried that formula. I guess it's wrong :(
Sorry. I gave you the correct formula; however, I substituted Ag for Au which determine 85% Ag in Au. For 85% Au you want the same formula but substitute 13 for solute (Au) and x+13 (grams solution) for the solution
[(grams solute)/(grams solution)]*100 = 85
[13/(x+13)]*100 = 85
Solve for x = grams Ag. I would plug that back into the equation to see that it is 85%.
sir, when I used the first formula, I get 73.7g. Ag is that correct? or there's something wrong with my calculation?
when I used the second formula I get g.Au? :(
Your answer is right. Try to check it. [73.7/(73.7+13)]*100=85
To find the amount of silver added to 13 grams of gold to produce an 85% gold alloy, we need to use the concept of mass percent.
Let's start by assuming that x grams of silver is added to the 13 grams of gold. The total mass of the resulting alloy will be the sum of gold and silver, which is represented as 13 + x grams.
Since we want to produce an 85% gold alloy, we know that the gold content in the alloy should be 85% of the total mass.
To calculate the gold content, we multiply the total mass of the alloy by the gold percentage (85% = 0.85) to get:
Gold content = 0.85 * (13 + x)
Since the mass of gold is simply 13 grams, we can set up the following equation:
0.85 * (13 + x) = 13
To find the value of x, we need to solve this equation.
First, distribute 0.85 on the left side of the equation:
11.05 + 0.85x = 13
Next, subtract 11.05 from both sides of the equation:
0.85x = 1.95
Finally, divide both sides of the equation by 0.85 to solve for x:
x = 1.95 / 0.85
Using a calculator, x ≈ 2.29 grams.
Therefore, approximately 2.29 grams of silver needs to be added to 13 grams of gold to produce an 85% gold alloy.