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Answer :
Final answer:
The weight of iron in the metal bar is approximately 64024 grams, calculated by determining the percentage of the bar that is iron and converting that weight from pounds to grams.
Explanation:
To calculate the weight of iron (Fe) in the metal bar, we first determine the portion of the bar that is iron by multiplying the total weight of the bar by the percentage of iron. The bar weighs 196 pounds and is 72% iron. First, we calculate the weight of iron in pounds:
Iron weight in lbs = Total weight of bar in lbs * (Percentage of iron / 100)
Iron weight in lbs = 196 lbs * (72 / 100)
Iron weight in lbs = 141.12 lbs
Next, we need to convert the weight from pounds to grams. There are approximately 453.59237 grams in a pound:
Iron weight in grams = Iron weight in lbs * Grams per pound
Iron weight in grams = 141.12 lbs * 453.59237 g/lb
Iron weight in grams = 64023.98304 g
Therefore, the weight of iron (in grams) in the bar is approximately 64024 g, when rounded to the nearest gram.
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