Converting 2.4 cubic meters per hour (m³/h) to kilograms per hour (kg/h) requires understanding the material being measured. Since the cubic meter measures volume and the kilogram measures weight, the conversion depends on the density of the substance. Density is typically measured in kilograms per cubic meter (kg/m³) and is key to this calculation.
Here’s a simple step-by-step guide to make the conversion:
- Determine the Density of the Material
The density of the substance must be known to perform the conversion. For example:- Water has a density of approximately 1,000 kg/m³.
- Air at standard conditions has a density of about 1.225 kg/m³.
- Other materials, such as oil, gases, or solids, will have their specific densities listed in reference tables or material safety data sheets (MSDS).
- Use the Conversion Formula
The formula to convert volume flow rate to mass flow rate is:Mass Flow Rate (kg/h)=Volume Flow Rate (m³/h)×Density (kg/m³)\text{Mass Flow Rate (kg/h)} = \text{Volume Flow Rate (m³/h)} \times \text{Density (kg/m³)}Mass Flow Rate (kg/h)=Volume Flow Rate (m³/h)×Density (kg/m³) - Substitute the Known Values
If you’re converting for water (density = 1,000 kg/m³):Mass Flow Rate=2.4 m³/h×1,000 kg/m³=2,400 kg/h\text{Mass Flow Rate} = 2.4 \, \text{m³/h} \times 1,000 \, \text{kg/m³} = 2,400 \, \text{kg/h}Mass Flow Rate=2.4m³/h×1,000kg/m³=2,400kg/hFor a material like air (density = 1.225 kg/m³):Mass Flow Rate=2.4 m³/h×1.225 kg/m³=2.94 kg/h\text{Mass Flow Rate} = 2.4 \, \text{m³/h} \times 1.225 \, \text{kg/m³} = 2.94 \, \text{kg/h}Mass Flow Rate=2.4m³/h×1.225kg/m³=2.94kg/h - Adjust for Specific Conditions
If the temperature or pressure affects the density of the material (common for gases), use the corrected density value before applying the formula. For gases, you may need to use the ideal gas law to calculate density under specific conditions. - Verify Units
Always ensure the units are consistent. If the density is provided in grams per cubic centimeter (g/cm³), convert it to kilograms per cubic meter (1 g/cm³ = 1,000 kg/m³) before using it in the formula.
Example: Converting for Oil
Assume you are converting 2.4 m³/h of crude oil, which has an average density of 850 kg/m³:Mass Flow Rate=2.4 m³/h×850 kg/m³=2,040 kg/h\text{Mass Flow Rate} = 2.4 \, \text{m³/h} \times 850 \, \text{kg/m³} = 2,040 \, \text{kg/h}Mass Flow Rate=2.4m³/h×850kg/m³=2,040kg/h
Conclusion
Accurate conversion from cubic meters per hour to kilograms per hour hinges on the density of the material. By applying the formula and ensuring all units align, you can confidently perform the calculation for any substance. Remember, for precise results, always use the exact density values relevant to the material and its specific conditions.