Convert Grams Per Deciliter To Milligrams Per Liter. Select The Correct Units And Conversion Factors For Each Step In The Following Unit Roadmap Unit Roadmap G DL Mg DL Conversion Factors And Units: Х Х 1mg 1000 G X 1g 1000 Mg 10 DL 1L 1000 G 1 Mg Х 1dL 10L L 10L 1L Mg 1000 Mg
The Correct Answer and Explanation is :
To convert grams per deciliter (g/dL) to milligrams per liter (mg/L), we can follow a step-by-step approach using the correct conversion factors and units.
Unit Roadmap:
- Starting unit: g/dL (grams per deciliter)
- Target unit: mg/L (milligrams per liter)
Step 1: Convert grams to milligrams
We start by converting grams (g) to milligrams (mg). The conversion factor between grams and milligrams is:
[
1 \text{ gram} = 1000 \text{ milligrams}
]
Step 2: Convert deciliters to liters
Next, we need to convert deciliters (dL) to liters (L). The conversion factor between deciliters and liters is:
[
1 \text{ deciliter} = 0.1 \text{ liters}
]
Step 3: Apply the Conversion Formula
We can now apply these conversion factors step by step. Let’s take a value of ( X ) g/dL (grams per deciliter) and convert it to mg/L (milligrams per liter).
- First, convert grams to milligrams:
[
X \, \text{g/dL} = X \times 1000 \, \text{mg/dL}
] - Then, convert deciliters to liters:
[
X \times 1000 \, \text{mg/dL} = X \times 1000 \times 10 \, \text{mg/L}
]
Simplifying this:
[
X \times 10000 \, \text{mg/L}
]
Final Formula:
Thus, the conversion from grams per deciliter (g/dL) to milligrams per liter (mg/L) is:
[
X \, \text{g/dL} = X \times 10000 \, \text{mg/L}
]
Example:
If we have a value of 5 g/dL, the conversion to mg/L is:
[
5 \, \text{g/dL} = 5 \times 10000 \, \text{mg/L} = 50000 \, \text{mg/L}
]
Explanation:
- Step 1 (grams to milligrams): Since there are 1000 milligrams in one gram, we multiply the number of grams by 1000.
- Step 2 (deciliters to liters): Since one deciliter equals 0.1 liter, and we need to convert to milligrams per liter, we multiply the deciliter conversion by 10 to account for this difference in units.
Therefore, to convert grams per deciliter to milligrams per liter, you multiply the value in g/dL by 10,000. This is a straightforward unit conversion that is commonly used in medical and scientific measurements.