A 14 karat gold alloy contains 58% m/m gold. How much of this alloy can a jeweler make using 50.0 g of pure gold?
(g solute/g solution)*100 = %
You have g solute and %, solve for g solution.
So would the answer be 0.86
I got 0.86
Close. You can check you answer by plugging in your answer.
See if it is.
(50/0.86)*100 = ? I get about 586% so 0.86 must not be right. If you will post your work I will find the error. I think it's must a math error.
58 = 50.0/s
58 x s = 50.0
S= 50.0/58
You left out the 100.
It's (50/s)*100 = 58
s = 5000/58 = s = ?
To find out how much of the 14 karat gold alloy can be made using 50.0 g of pure gold, we need to determine the amount of gold in the alloy.
Given:
- The 14 karat gold alloy contains 58% mass/mass (m/m) gold.
Step 1: Calculate the amount of gold in the alloy.
First, convert the given percentage to a decimal form.
58% = 58/100 = 0.58
Next, multiply the gold content percentage by the total mass of the alloy to find the amount of gold.
Amount of gold = 0.58 * mass of the alloy
Step 2: Calculate the mass of the alloy that can be made using 50.0 g of pure gold.
Since the jeweler has 50.0 g of pure gold, the mass of the alloy that can be made is equal to the mass of gold.
Therefore, the mass of the alloy that can be made using 50.0 g of pure gold is 0.58 * 50.0 g = 29.0 g.
So, the jeweler can make 29.0 g of the 14 karat gold alloy using 50.0 g of pure gold.