Tons of Refrigeration ↔ BTU/h Calculator (ASHRAE)

Understanding the conversion between tons of refrigeration and BTU/h is essential for HVAC professionals. This calculation ensures accurate system sizing and energy efficiency.

This article explores the ASHRAE standards for tons of refrigeration to BTU/h conversion. It includes formulas, tables, and real-world application examples for engineers.

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  • Convert 5 tons of refrigeration to BTU/h
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  • Determine BTU/h for 12.5 tons of refrigeration
  • Find tons of refrigeration equivalent to 150,000 BTU/h

Comprehensive Tables for Tons of Refrigeration and BTU/h Conversion (ASHRAE)

Below are detailed tables showing common conversions between tons of refrigeration and BTU/h based on ASHRAE standards. These values are critical for HVAC system design, load calculations, and equipment selection.

Tons of Refrigeration (TR)BTU per Hour (BTU/h)Kilowatts (kW)Cooling Capacity (kcal/h)
0.56,0001.761,500
112,0003.523,000
224,0007.046,000
560,00017.615,000
10120,00035.230,000
20240,00070.460,000
50600,000176150,000
1001,200,000352300,000

These values are based on the ASHRAE standard where 1 ton of refrigeration equals 12,000 BTU/h. Kilowatt and kcal/h conversions are included for international relevance.

Fundamental Formulas for Tons of Refrigeration and BTU/h Conversion (ASHRAE)

Accurate conversion between tons of refrigeration and BTU/h requires understanding the underlying formulas and variables. Below are the essential formulas used in HVAC engineering, based on ASHRAE guidelines.

  • Basic Conversion Formula:

Tons of Refrigeration (TR) = BTU/h ÷ 12,000

  • Inverse Conversion:

BTU/h = Tons of Refrigeration (TR) × 12,000

  • Conversion to Kilowatts (kW):

kW = Tons of Refrigeration (TR) × 3.517

  • Conversion from Kilowatts to Tons of Refrigeration:

Tons of Refrigeration (TR) = kW ÷ 3.517

Explanation of Variables

  • Tons of Refrigeration (TR): A unit representing the cooling capacity equivalent to melting one ton of ice in 24 hours.
  • BTU/h (British Thermal Units per hour): The amount of heat energy removed per hour.
  • kW (Kilowatts): The metric unit of power, often used internationally for cooling capacity.

Note: The factor 12,000 BTU/h per ton is standardized by ASHRAE and widely accepted in HVAC engineering.

Real-World Application Examples of Tons of Refrigeration ↔ BTU/h Conversion

Applying these formulas in practical scenarios is crucial for HVAC system design and energy management. Below are two detailed examples demonstrating step-by-step calculations.

Example 1: Converting Tons of Refrigeration to BTU/h for a Commercial HVAC System

A commercial building requires a cooling system rated at 15 tons of refrigeration. Calculate the equivalent cooling capacity in BTU/h and kilowatts.

  • Step 1: Use the formula BTU/h = TR × 12,000
  • Step 2: Calculate BTU/h = 15 × 12,000 = 180,000 BTU/h
  • Step 3: Convert to kilowatts using kW = TR × 3.517
  • Step 4: Calculate kW = 15 × 3.517 = 52.755 kW

This means the HVAC system must provide 180,000 BTU/h or approximately 52.76 kW of cooling capacity.

Example 2: Determining Tons of Refrigeration from BTU/h for Industrial Cooling

An industrial process requires a cooling load of 90,000 BTU/h. Determine the required tons of refrigeration and kilowatts.

  • Step 1: Use the formula TR = BTU/h ÷ 12,000
  • Step 2: Calculate TR = 90,000 ÷ 12,000 = 7.5 tons of refrigeration
  • Step 3: Convert to kilowatts using kW = TR × 3.517
  • Step 4: Calculate kW = 7.5 × 3.517 = 26.3775 kW

The industrial cooling system must be sized for 7.5 tons of refrigeration or approximately 26.38 kW.

Additional Technical Insights and Considerations

While the basic conversion factor of 12,000 BTU/h per ton is standard, real-world applications often require adjustments based on environmental and operational factors.

  • Effect of Latent Heat: Tons of refrigeration primarily consider sensible heat removal, but latent heat (moisture removal) impacts total cooling load.
  • Seasonal Variations: Cooling loads fluctuate seasonally; engineers use ASHRAE climate data to adjust system sizing accordingly.
  • Energy Efficiency Ratios (EER): EER relates cooling capacity to power input, influencing system selection beyond raw capacity.
  • International Standards: While ASHRAE uses BTU/h and tons, ISO and other standards may use kW or kcal/h, necessitating accurate conversions.

Understanding these nuances ensures HVAC systems are both efficient and compliant with industry standards.

References and Authoritative Resources

For HVAC engineers and energy professionals, mastering the tons of refrigeration to BTU/h conversion is fundamental. This article provides the technical foundation and practical tools to perform these calculations confidently and accurately.