Final answer:
To convert 5.5 x 10⁴ kg/mol x dL to g/mol x L, multiply by 1000 to get grams and by 10 to convert deciliters to liters, resulting in 5.5 x 10⁷ g/mol x L.
Step-by-step explanation:
To convert 5.5 x 10⁴ kg/mol to grams per mole per liter (g/mol x L), you need to recognize that a kilogram is equal to 1000 grams. This means that you should multiply the given value by 1000 to convert kilograms to grams. Furthermore, a deciliter (dL) is a tenth of a liter (L), so to convert to liters, you multiply by 10.
Thus, the conversion would look like this:
- 5.5 x 10⁴ kg/mol x dL x 1000 g/1 kg x 10 dL/1 L = 5.5 x 10⁷ g/mol x L.
The unit of moles cancels out in this conversion, leaving you with grams per liter (g/L) as the final unit.