When working with fluid or gas flow rates, you may often need to convert between different units. If you’re trying to convert 0.2 cubic meters per day (m³/day) to kilograms per hour (kg/h), this guide will break it down step by step.
Step 1: Relationship Between m³ and kg
Cubic meters (m³) measure volume, while kilograms (kg) measure mass. To convert between them, you need to know the density of the substance you’re dealing with (e.g., water, oil, or gas).
- For water, the density is approximately 1000 kg/m³ (at standard conditions).
Step 2: Convert m³/Day to m³/Hour
To move from m³/day to m³/hour, divide the flow rate by the number of hours in a day (24 hours).Flow rate in m³/hour=Flow rate in m³/day24\text{Flow rate in m³/hour} = \frac{\text{Flow rate in m³/day}}{24}Flow rate in m³/hour=24Flow rate in m³/day
For 0.2 m³/day:Flow rate in m³/hour=0.224=0.00833 m³/hour\text{Flow rate in m³/hour} = \frac{0.2}{24} = 0.00833 \, \text{m³/hour}Flow rate in m³/hour=240.2=0.00833m³/hour
Step 3: Convert m³/Hour to kg/Hour
Multiply the flow rate in m³/hour by the density of the substance. For water (1000 kg/m³):Mass flow rate in kg/hour=Flow rate in m³/hour×Density\text{Mass flow rate in kg/hour} = \text{Flow rate in m³/hour} \times \text{Density}Mass flow rate in kg/hour=Flow rate in m³/hour×Density Mass flow rate in kg/hour=0.00833×1000=8.33 kg/hour\text{Mass flow rate in kg/hour} = 0.00833 \times 1000 = 8.33 \, \text{kg/hour}Mass flow rate in kg/hour=0.00833×1000=8.33kg/hour
Final Answer: 0.2 m³/Day = 8.33 kg/Hour (for Water)
If the substance has a different density, simply replace 1000 kg/m³ with the correct value in Step 3.
Quick Tip
Always verify the density and units used for calculations. For gases, remember that density changes with temperature and pressure, so use accurate conditions for conversions.