British thermal units per hour (Btu/h) to Tons of Refrigeration (RT) conversion

1 Btu/h = 0.00008333333 RTRTBtu/h
Formula
1 Btu/h = 0.00008333333 RT

Understanding British thermal units per hour to Tons of Refrigeration Conversion

The British thermal unit per hour (Btu/h) is the standard US/Imperial rating for heating and cooling capacity. The ton of refrigeration (RT) is a legacy cooling unit defined as the rate of heat removal needed to freeze one short ton of water into ice in 24 hours, equal to exactly 12,000 Btu/h. This conversion is central to HVAC design, where a "3-ton" air conditioner simply means 36,000 Btu/h of cooling capacity.

Conversion Formula

1 Btu/h=8.33333×105 RT1\ \text{Btu/h} = 8.33333 \times 10⁻⁵\ \text{RT}

To convert British thermal units per hour to Tons of Refrigeration, multiply the number of British thermal units per hour by this factor:

RT=Btu/h×8.33333×105\text{RT} = \text{Btu/h} \times 8.33333 \times 10⁻⁵

Step-by-Step Example

Convert 25 British thermal units per hour to Tons of Refrigeration.

Write the formula:

RT=Btu/h×8.33333×105\text{RT} = \text{Btu/h} \times 8.33333 \times 10⁻⁵

Substitute the value:

RT=25×8.33333×105\text{RT} = 25 \times 8.33333 \times 10⁻⁵

Calculate the result:

25 Btu/h0.00208333 RT25\ \text{Btu/h} \approx 0.00208333\ \text{RT}

How to Convert British thermal units per hour to Tons of Refrigeration

Convert an HVAC Btu/h rating into cooling tons with these steps.

  1. Take the Btu/h capacity: Start with the cooling capacity in British thermal units per hour.
  2. Divide by 12,000: This is the same as multiplying by 8.33333×1058.33333 \times 10⁻⁵, the tons of refrigeration in one Btu/h.
  3. Report the tonnage: The result is the capacity in tons of refrigeration. For example, 25 Btu/h × 8.33333×1058.33333 \times 10⁻⁵ ≈ 0.00208333 RT.

British thermal units per hour to Tons of Refrigeration conversion table

British thermal units per hour (Btu/h)Tons of Refrigeration (RT)
00
10.00008333333
20.0001666667
30.00025
40.0003333333
50.0004166667
60.0005
70.0005833333
80.0006666667
90.00075
100.0008333333
150.00125
200.001666667
250.002083333
300.0025
400.003333333
500.004166667
600.005
700.005833333
800.006666667
900.0075
1000.008333333
1500.0125
2000.01666667
2500.02083333
3000.025
4000.03333333
5000.04166667
6000.05
7000.05833333
8000.06666667
9000.075
10000.08333333
20000.1666667
30000.25
40000.3333333
50000.4166667
100000.8333333
250002.083333
500004.166667
1000008.333333
25000020.83333
50000041.66667
100000083.33333

What is the British thermal unit per hour?

The British thermal unit per hour (Btu/h) is a unit of power, or heat-flow rate, that expresses how much thermal energy is moved each hour. It is the standard rating unit for heating, ventilation, and air-conditioning (HVAC) equipment in the United States.

Definition

One Btu/h is one British thermal unit of energy transferred over one hour. Because 1 Btu is a fixed quantity of energy and 1 hour is 3,600 seconds, the rate converts exactly to the SI unit of power, the watt:

1 Btu/h=0.293071 W1\ \text{Btu/h} = 0.293071\ \text{W}

Equivalently, 1 W = 3.41214 Btu/h. Btu/h is a power (heat-flow) unit, not an energy unit; the related "ton of refrigeration" equals 12,000 Btu/h. The value above uses the International Table Btu (1 Btu = 1,055.06 J), and the NIST Guide to the SI (SP 811) tabulates 1 Btu(IT)/h = 2.930 711 × 10⁻¹ W.

Origin and History

The British thermal unit dates to 19th-century engineering, defined as the heat needed to raise one pound of water by one degree Fahrenheit. As steam and later mechanical cooling systems spread, engineers needed a rate of heat transfer rather than a bulk energy figure, so the Btu was paired with the hour to describe furnace output and cooling capacity. The unit persisted in the English-speaking world even as the watt became the SI standard.

Law and Notable Facts

Btu/h is not part of the SI, but it remains legal and dominant in US and UK trade for rating boilers, furnaces, and air conditioners. Air-conditioner "tons" are a direct Btu/h measure: a 1-ton AC removes 12,000 Btu/h of heat, based on the energy needed to melt one short ton of ice in 24 hours. Because it is a rate, Btu/h answers "how fast," while plain Btu answers "how much."

Real-World Examples and Conversions

  • A window air conditioner rated at 10,000 Btu/h delivers about 2,930 W (2.93 kW) of cooling.
  • A residential gas furnace of 80,000 Btu/h supplies roughly 23,400 W (23.4 kW) of heat.
  • A 3-ton central AC system is rated at 36,000 Btu/h, equal to about 10,550 W.
  • A small 1,500 W electric space heater produces about 5,118 Btu/h.

What is the Ton of Refrigeration?

The ton of refrigeration (RT) is a unit of power that measures the rate of heat removal in cooling and air-conditioning systems. It is widely used in the HVAC industry to rate chillers, air conditioners, and industrial refrigeration equipment.

Definition

One ton of refrigeration is the rate of heat transfer needed to freeze 2,000 pounds (one short ton) of water at 0 °C into ice at 0 °C over 24 hours. Using the latent heat of fusion of water, this equals exactly 12,000 Btu/h, which is:

1 RT=3516.85 W1\ \text{RT} = 3516.85\ \text{W}

Equivalently, 1 RT=12,000 Btu/h=3.51685 kW1\ \text{RT} = 12{,}000\ \text{Btu/h} = 3.51685\ \text{kW}. It is a power (heat-flow) unit, not a unit of mass or energy; the NIST Guide to the SI (SP 811) lists the ton of refrigeration (12 000 Btu(IT)/h) as 3.516 853 × 10³ W.

Origin and History

The unit dates to the 19th century, when mechanical refrigeration competed directly with the natural-ice trade. Cooling capacity was rated by how much ice a machine could effectively replace, so one "ton" of refrigeration described equipment capable of melting one ton of ice per day. The measure stuck even as ice harvesting disappeared.

Law and Notable Facts

The ton of refrigeration is not an SI unit; the SI unit of power is the watt. It remains an industry standard in North America, where residential air conditioners are commonly sized in tons (for example, a "3-ton" central AC unit). Note that the "ton" here refers to heat-removal rate, not the weight of the equipment. A closely related metric variant, the frigorie-based commercial ton, is defined slightly differently in some regions, but the U.S. value of exactly 12,000 Btu/h is the most common.

Real-World Examples and Conversions

  • A typical residential central air conditioner rated at 3 RT removes about 36,000 Btu/h, or roughly 10,551 W of heat.
  • A single ton of refrigeration (3516.85 W) is comparable to the cooling output of a large window AC unit sized for a big room.
  • Large commercial chillers are often rated in the hundreds or thousands of tons; a 500 RT chiller handles about 1.758 MW of heat load.
  • To convert tons to kilowatts of cooling, multiply by 3.51685: a 2 RT mini-split delivers about 7.03 kW of cooling.

Frequently Asked Questions

What is the formula to convert British thermal units per hour to Tons of Refrigeration?

Multiply the Btu/h value by 8.33333×1058.33333 \times 10⁻⁵, or equivalently divide by 12,000. In symbols, RT=Btu/h×8.33333×105\text{RT} = \text{Btu/h} \times 8.33333 \times 10⁻⁵.

How many Tons of Refrigeration are in 1 British thermal unit per hour?

One Btu/h equals about 8.33333×1058.33333 \times 10⁻⁵ RT, since a ton of refrigeration is 12,000 Btu/h.

How many British thermal units per hour equal 1 Ton of Refrigeration?

Exactly 12,000 Btu/h make one ton of refrigeration.

How do I convert a 36000 Btu/h air conditioner to Tons of Refrigeration?

Multiply 36,000 by 8.33333×1058.33333 \times 10⁻⁵ (or divide by 12,000) to get 3 tons of refrigeration.

What does a ton of refrigeration actually measure?

It measures cooling rate, defined as the heat that must be removed to freeze one short ton of water in 24 hours, standardized as 12,000 Btu/h.

Complete British thermal units per hour conversion table

Btu/h
UnitResult
Watts (W)0.2930711 W
Milliwatts (mW)293.0711 mW
Kilowatts (kW)0.0002930711 kW
Megawatts (MW)2.930711e-7 MW
Gigawatts (GW)2.930711e-10 GW
Horsepower (metric) (PS)0.0003984658 PS
Tons of Refrigeration (RT)0.00008333333 RT
British thermal units per second (Btu/s)0.0002777778 Btu/s
Foot-pounds per second (ft-lb/s)0.2161581 ft-lb/s
Horsepower (British) (hp)0.0003930148 hp