Final answer:
To convert 23 kg/L to dg/cm³, the kilograms are converted to grams and then to decigrams, recognizing that 1 L = 1,000 cm³, resulting in 230 dg/cm³.
Step-by-step explanation:
The question is asking to convert the density from kilograms per liter (kg/L) to decigrams per cubic centimeter (dg/cm³). To do this conversion, we need to understand the relationship between the given units and the desired units. Here is how you can convert 23 kg/L to dg/cm³.
- First, recognize that 1 kg = 1,000 g and 1 L = 1,000 cm³.
- Now convert kilograms to grams (23 kg × 1,000 g/kg = 23,000 g).
- Since 1 L is equal to 1,000 cm³, the density is also 23,000 g/L (since 1 L = 1,000 cm³).
- Finally, convert grams to decigrams (1 g = 10 dg). So, 23,000 g/L is equal to 230,000 dg/L. Since we have cm³ and L as equivalent, we also have 230,000 dg/1,000 cm³, which simplifies to 230 dg/cm³.
Therefore, 23 kg/L is equal to 230 dg/cm³.