Final answer:
The conversion of 5.00 L/min to cm³/s is 83.3 cm³/s, and to m³/s is 0.0000833 m³/s.
Step-by-step explanation:
The question pertains to the conversion of flow rates from one unit to another, specifically from liters per minute (L/min) to cubic centimeters per second (cm³/s) and cubic meters per second (m³/s). To convert 5.00 L/min to cm³/s, we use the fact that 1 L = 1000 cm³ and there are 60 seconds in one minute:
- 5.00 L/min × 1000 cm³/L = 5000 cm³/min
- 5000 cm³/min ÷ 60 s/min = 83.3 cm³/s
Therefore, the correct conversion is 83.3 cm³/s (option a).
For part (b), converting this rate to m³/s:
- 5.00 L/min × 1/1000 m³/L = 0.005 m³/min
- 0.005 m³/min ÷ 60 s/min = 0.0000833 m³/s
The rate in m³/s is 0.0000833 m³/s.