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1. In apothecaries' measures: 1 scruple = 20 grains, 1 ounce = 480 grains, 1 oz = 28.34 g
What is the mass in micrograms of 5.00 scruples? Remember the known and the
unknown?!

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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