Question

Make the following conversions using dimensional analysis. SHOW YOUR WORK. Express your answers in scientific notation.

14.8g = ? µg
3.72g = ? kg
7.5 x 104J = ? kJ

Answer 1

To convert grams to micrograms and kilograms, and joules to kilojoules, use the respective conversion factors (1g = 1,000,000µg and 1g = 0.001kg, 1J = 0.001kJ) and express the results in scientific notation.

Step-by-step explanation:

The student is asking how to convert various units of measure using dimensional analysis and express the answers in scientific notation.

1. To convert 14.8 grams to micrograms (ug), we use the fact that 1 gram is equal to 1,000,000 micrograms.
   
2. To convert 3.72 grams to kilograms (kg), we use the conversion 1 gram is equal to 0.001 kilograms.
   
3. For converting 7.5 x 104 joules (J) to kilojoules (kJ), we know that 1 joule is equal to 0.001 kilojoules.