Respuesta :
Answer:
5.89 g × 10⁶ μg
Explanation:
Step 1: Convert 5.00 scruples to grains
We will use the conversion factor 1 scruple = 20 grains.
5.00 scruple × 20 grain/1 scruple = 100 grain
Step 2: Convert 100 grains to ounces
We will use the conversion factor 1 oz = 480 grains.
100 grain × 1 oz/480 grain = 0.208 oz
Step 3: Convert 0.208 oz to grams
We will use the conversion factor 1 oz = 28.34 g.
0.208 oz × 28.34 g/1 oz = 5.89 g
Step 4: Convert 5.89 g to micrograms
We will use the conversion factor 1 g = 10⁶ μg.
5.89 g × 10⁶ μg/1 g = 5.89 g × 10⁶ μg
The mass in micrograms of 5 scruples is 5.9×10⁶ μg
We'll begin by converting 5 scruples to grains.
1 scruple = 20 grains
Therefore,
5 scruples = 5 × 20
5 scruples = 100 grains
- Next, we shall convert 100 grains to grams
480 grains = 1 ounce
But
1 ounce = 28.34 g
Thus, we can say that
480 drains = 28.34 g
Therefore,
100 grains = (100 × 28.34) / 480
100 grains = 5.9 grams
- Finally, we shall convert 5.9 grams to micro grams
1 g = 1×10⁶ μg
Therefore,
5.9 g = 5.9 × 1×10⁶ μg
5.9 g = 5.9×10⁶ μg
Therefore, 5 scruples is equivalent to 5.9×10⁶ μg
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