Calories (th)/second to Ton of refrigeration
cal(th)/s
TR
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Quick Reference Table (Calories (th)/second to Ton of refrigeration)
| Calories (th)/second (cal(th)/s) | Ton of refrigeration (TR) |
|---|---|
| 0.1 | 0.00011897000494172949 |
| 1 | 0.00118970004941729492 |
| 10 | 0.01189700049417294919 |
| 14.3 | 0.01701271070666731734 |
| 100 | 0.1189700049417294919 |
| 1,000 | 1.18970004941729491896 |
| 10,000 | 11.89700049417294918963 |
About Calories (th)/second (cal(th)/s)
Calories (thermochemical) per second (cal(th)/s) equals 4.184 watts. It is a caloric power unit used in thermochemistry and laboratory heat-flow measurements where energy is expressed in thermochemical calories rather than joules. Reaction calorimeters and bomb calorimeters sometimes report heat release rates in this unit. It is closely related to the watt but retains the calorie convention of chemistry rather than physics.
A 60 W light bulb dissipates about 14.3 cal(th)/s as heat. A vigorous chemical reaction releasing 100 cal(th)/s generates 418 W of thermal power.
About Ton of refrigeration (TR)
A ton of refrigeration (TR) equals 3,516.85 watts and represents the cooling power needed to freeze one short ton (2,000 lb / 907 kg) of water at 0 °C in 24 hours. It is the standard unit for commercial and industrial air conditioning and refrigeration equipment capacity in the United States and parts of Asia. A residential central air conditioner is typically 1.5–5 TR; a commercial chiller 50–500 TR; a large industrial refrigeration plant may exceed 10,000 TR.
A 3-ton residential central air conditioner removes about 10.6 kW of heat from the building. A typical office building chiller might be rated at 200–500 TR.
Etymology: Defined in the 19th century as the cooling capacity of one ton of ice melting over 24 hours, based on the latent heat of fusion of water (144 BTU/lb). Ice was the primary industrial refrigerant before mechanical refrigeration became widespread.
Calories (th)/second – Frequently Asked Questions
Why do chemists use calories per second instead of watts?
Tradition and unit consistency. When your energy measurements are in calories (specific heat of water = 1 cal/g/°C makes calculations beautifully clean), expressing rates in cal/s keeps everything in the same system. A chemist measuring how fast a reaction heats 500 mL of water doesn't want to convert to joules just to report a rate. The calorie makes water-based calorimetry arithmetic almost trivial.
What is the difference between a calorie and a Calorie in this context?
The thermochemical calorie (lowercase "c") used in cal/s equals 4.184 joules. The food Calorie (uppercase "C" or kilocalorie) is 1,000× larger at 4,184 joules. So 1 food Calorie/s = 4,184 watts — roughly the power of a space heater. Nutrition labels use kilocalories but write "Calories" with a capital C, creating one of the most persistent unit confusions in science. When you see cal/s in chemistry, it's always the small calorie.
How many cal/s does an exothermic chemical reaction typically release?
It varies enormously. Neutralizing a strong acid with a strong base might release 0.5–5 cal/s in a teaching lab. Combustion of magnesium ribbon produces 50–200 cal/s of intense white-hot heat. Thermite reactions can exceed 10,000 cal/s (42 kW). Explosive decomposition of TNT releases energy at roughly 250,000 cal/s (1 MW) during detonation. The rate depends on both the enthalpy change and how fast the reaction proceeds.
How do you measure heat output in calories per second experimentally?
A reaction calorimeter submerges the reaction vessel in a known mass of water and measures temperature rise over time. If 1,000 g of water rises 0.5°C in 10 seconds, the heat release is 500 cal in 10 seconds = 50 cal/s. Modern isothermal calorimeters use Peltier elements to maintain constant temperature, measuring the electrical power needed to compensate — giving cal/s readings with milliwatt precision.
Is the thermochemical calorie still used in modern research?
Increasingly rarely. IUPAC officially recommends joules, and most modern journals require SI units. However, the calorie persists in biochemistry (metabolic rates), nutrition (food energy), and some physical chemistry subfields where decades of reference data are in calories. Older researchers and textbooks still think in calories. The 4.184 conversion factor is burned into every chemist's brain, even if they wish it weren't.
Ton of refrigeration – Frequently Asked Questions
Why is air conditioning measured in "tons" if there is no ice involved?
Before mechanical refrigeration, buildings were literally cooled with ice. A "ton of refrigeration" was the cooling you got from melting one ton of ice per day. When compressor-based AC arrived in the early 1900s, the ice-based unit stuck because the entire industry — contractors, building codes, ductwork sizing — was built around it. Telling a building owner "you need 200 tons of cooling" was intuitive when they used to order 200 tons of ice. The unit survived because switching costs exceed inconvenience costs.
How many tons of AC does a typical office building need?
Roughly 1 ton per 400–600 sq ft of office space, depending on climate, occupancy, glazing, and internal heat loads (computers, lights, people). A 50,000 sq ft office needs 80–125 tons. Data centers are extreme: they need 1 ton per 200–300 sq ft because of server heat. A single rack of GPU servers can require 5–10 tons of cooling alone. The Trump Tower in New York has about 2,600 tons of installed cooling capacity.
Why do Middle Eastern cities need district cooling plants the size of power stations?
When outdoor temperatures exceed 45°C for months, every building runs AC at maximum capacity simultaneously — there is no "shoulder season." Dubai alone has over 1.5 million tons of district cooling capacity. These plants chill water at a central facility and pipe it underground to hundreds of buildings, achieving 40–50% better efficiency than individual rooftop units. The Pearl-Qatar plant in Doha runs 130,000 tons — cooling an entire artificial island. Without district cooling, the electrical grid in Gulf states would need to be 30–40% larger just to handle dispersed AC compressors.
What is the largest air conditioning system in the world in tons?
The district cooling plant at The Pearl-Qatar in Doha has about 130,000 tons of refrigeration capacity — enough to cool a small city in one of the world's hottest climates. Dubai's district cooling network exceeds 1.5 million tons total across multiple plants. For a single building, the Venetian Macao resort has roughly 16,000 tons. These megascale systems use chilled water loops distributing cooling across kilometers of underground pipes.
How many tons of refrigeration does a grocery store need?
A typical 40,000 sq ft supermarket needs 80–150 tons: roughly 40–60 tons for the sales floor AC, and another 40–90 tons for refrigerated cases, walk-in coolers, and freezers. The frozen food aisle alone can require 20–30 tons. Open-top refrigerated cases are notoriously wasteful — they dump cold air into the store, which the AC must then remove. Modern stores with glass-doored cases can cut refrigeration load by 30–40%.