QuestionAn alloy has $52 \mathrm{~g}$ silver and $24 \mathrm{~g}$ copper. Find the percentage of silver in the alloy.

Studdy Solution

STEP 1

Assumptions1. The alloy contains52g of pure silver. . The alloy contains24g of pure copper.
3. We are asked to find the percentage of silver in the alloy.

STEP 2

First, we need to find the total weight of the alloy. We can do this by adding the weight of the silver to the weight of the copper.
$Total\, weight = Weight\, of\, silver + Weight\, of\, copper$

STEP 3

Now, plug in the given values for the weight of silver and copper to calculate the total weight.
$Total\, weight =52g +24g$

STEP 4

Calculate the total weight of the alloy.
$Total\, weight =52g +24g =76g$

STEP 5

Now that we have the total weight of the alloy, we can calculate the percentage of silver in the alloy. The percentage of silver is the weight of the silver divided by the total weight of the alloy, multiplied by100%.
$Percentage\, of\, silver = \left(\frac{Weight\, of\, silver}{Total\, weight}\right) \times100\%$

STEP 6

Plug in the values for the weight of silver and the total weight to calculate the percentage of silver.
$Percentage\, of\, silver = \left(\frac{52g}{76g}\right) \times100\%$

STEP 7

Calculate the percentage of silver in the alloy.
$Percentage\, of\, silver = \left(\frac{52g}{76g}\right) \times100\% \approx68.42\%$

STEP 8

Round the percentage of silver to two significant figures.
$Percentage\, of\, silver =68\%$ The percentage of silver in the alloy is68%.

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