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Answer :
Final answer:
To find the mass of magnesium in 97.4g of Mg(OH)2, multiply the mass of Mg(OH)2 by the percentage composition of Mg (41.7%). After converting the percentage to a decimal form, we calculate that there are 40.63 grams of magnesium.
Explanation:
To calculate the number of grams of magnesium in 97.4g of Mg(OH)2, we use the given percent composition for magnesium, which is 41.7%. This means that 41.7% of the total mass of Mg(OH)2 is magnesium. Therefore, to find the mass of magnesium in the compound:
- Multiply the total mass of Mg(OH)2 by the percentage composition of Mg.
- Convert the percentage to a decimal by dividing by 100.
Applying the calculation:
Mg mass = total mass of Mg(OH)2 × (percentage composition of Mg / 100)
Mg mass = 97.4 g × (41.7 / 100)
Mg mass = 97.4 g × 0.417
Mg mass = 40.63 grams of Mg
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