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Answer :
Final answer:
To convert the mass of a 35.8 carat diamond to ounces, multiply the mass in carats by 200 mg/carat to get milligrams, convert to grams, and then use the conversion factor of 1 oz = 28.349 g to find the mass in ounces, resulting in approximately 0.2527 oz.
Explanation:
The student has asked for the mass of a diamond in mass ounces, given its mass in carats, where 1 carat is equal to 200.0 mg. To find the mass of the diamond in ounces, we need to use the conversion from carats to grams and then from grams to ounces.
First we convert the mass of the diamond from carats to grams: 35.8 carats × 200.0 mg/carat
= 7160 mg
=7160 mg (1 g / 1000 mg)
= 7.16 g
Now, using the conversion factor for grams to ounces (1 ounce = 28.349 g): 7.16 g × (1 oz / 28.349 g)
= 0.2527 oz
Therefore, the mass of a 35.8 carat diamond in mass ounces is approximately 0.2527 oz.
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