The material lists exercises converting glucose from milligrams per decilitre to millimoles per litre and vice versa, but gives no conversion factor. What additional information is needed to calculate numerical answers?
Answer
A conversion factor relating the glucose mass concentration in mg/dL to the amount concentration in mmol/L is needed. Equivalently, the glucose molar mass and the necessary volume-unit relationship must be supplied. Without that information, the listed values cannot be converted to unique numerical answers from the provided material alone.
Explanation
### The concept
The two glucose units describe concentration in different ways. Milligrams per decilitre reports mass per volume, while millimoles per litre reports amount of substance per volume. Converting between them requires a relationship between glucose mass and amount, along with the volume-unit relationship. The provided notes list glucose conversion practice values, but they do not state that conversion factor. A numerical answer should not be guessed from the exercise prompt alone.
### What a good answer covers
- Identify that the units represent different concentration forms.
- State that a conversion factor is required.
- Explain that the factor must relate glucose mass to amount and account for the volume units.
- Note that the supplied material does not provide enough information for unique numerical answers.
### Terms
- **Milligram (mg)**: one thousandth of a gram, a mass unit.
- **Decilitre (dL)**: one tenth of a litre, a volume unit.
- **Millimole (mmol)**: one thousandth of a mole, an amount-of-substance unit.
- **Litre (L)**: a unit of volume.
- **Concentration**: the amount of a substance present in a specified volume.
### Remember
When concentration units differ in both substance amount and volume, check that the conversion factor covers both differences.
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