Question

Convert 0.0193 kg convert into grams. Show your
work, using dimensional analysis.

Answer 1

To convert 0.0193 kg to grams, multiply by the conversion factor of 1000 grams per kilogram, resulting in 19.3 grams. This method is known as dimensional analysis.

Step-by-step explanation:

To convert 0.0193 kilograms into grams using dimensional analysis, you can follow this step:

1. Start by writing down the quantity you want to convert (0.0193 kg).
2. Now use the conversion factor between kilograms and grams. Since 1 kilogram is equal to 1000 grams, set up the conversion factor so that kilograms will cancel out, leaving you with grams.
3. Multiply 0.0193 kg by the conversion factor:

0.0193 kg × 1000 g/1 kg = 19.3 g

You end up with 19.3 grams because when you multiply 0.0193 by 1000, the 'kg' units cancel out and you are left with grams. This process is known as dimensional analysis.