Question

A certain food has a gluten ratio of 13 mg of gluten per L of the food. What is the gluten ratio in micrograms per milliliter uh/mL

Answer 1

The gluten ratio in micrograms per milliliter is 13 μg/mL

Explanation:

From the question, we're given

Gluten Ratio = 13mg/L

What the question requires is to convert this unit to uh/mL

first we convert mg (milligram) to μg (microgram)

By conversion;

1 mg = 10⁻³ grams

1 μg = 10⁻⁶ grams

By cross multiplication;

1mg * 10⁻⁶ grams = 1 μg * 10⁻³ grams

1mg = 1 μg * 10⁻³ grams / 10⁻⁶ grams

1mg = 1 μg * 10⁶⁻³

1mg = 1 μg * 10³

1mg = 1 μg * 1000

1mg = 1000μg

Then we convert 1 L (1 liter) to milliliter

1 L = 1000 milliliter = 1000mL

The gluten ratio in micrograms per milliliter is 13 * 1000μg/1000mL

= 13 μg/mL

Hence, the gluten ratio in micrograms per milliliter is 13 μg/mL

Answer 2

For this case we must do a conversion. By definition we have to:

1 milligram equals 1000 micrograms

1 liter equals 1000 milliliters

So:

`13 \frac {mg} {L} * (\frac {1} {1000} * \frac {L} {mL}) * (\frac {1000} {1} * \frac {ug} {mg}) =\\\frac {13 * 1000} {1000} * \frac {ug} {mL} =\\13 \frac {ug} {mL}`

Answer:

`13 \frac {ug} {mL}`