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QuestionCalculate the percentage of lead in a bullet with 12.7−g12.7-\mathrm{g} lead, 0.3−g0.3-\mathrm{g} tin, and 0.8−g0.8-\mathrm{g} antimony.

Studdy Solution

STEP 1

Assumptions1. The weight of lead in the bullet is12.7g. The weight of tin in the bullet is0.3g3. The weight of antimony in the bullet is0.8g4. The percentage of a metal in the bullet is calculated as the weight of that metal divided by the total weight of the bullet, multiplied by100

STEP 2

First, we need to find the total weight of the bullet. We can do this by adding the weights of the three metals.
Total weight=Weight of lead+Weight of tin+Weight of antimonyTotal\, weight = Weight\, of\, lead + Weight\, of\, tin + Weight\, of\, antimony

STEP 3

Now, plug in the given values for the weights of the three metals to calculate the total weight.
Total weight=12.7g+0.3g+0.8gTotal\, weight =12.7g +0.3g +0.8g

STEP 4

Calculate the total weight of the bullet.
Total weight=12.7g+0.3g+0.8g=13.8gTotal\, weight =12.7g +0.3g +0.8g =13.8g

STEP 5

Now that we have the total weight of the bullet, we can find the percentage of lead in the bullet. This is done by dividing the weight of lead by the total weight, and then multiplying by100.
Percentage of lead=Weight of leadTotal weight×100%Percentage\, of\, lead = \frac{Weight\, of\, lead}{Total\, weight} \times100\%

STEP 6

Plug in the values for the weight of lead and the total weight to calculate the percentage of lead.
Percentage of lead=12.g13.8g×100%Percentage\, of\, lead = \frac{12.g}{13.8g} \times100\%

STEP 7

Calculate the percentage of lead in the bullet.
Percentage of lead=12.7g13.g×100%≈92%Percentage\, of\, lead = \frac{12.7g}{13.g} \times100\% \approx92\%The percentage of lead metal in the bullet is approximately92%.

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