What is the Efficiency Coefficient and How to Find It

June 5, 2025 Білоус Артем Comments Off

Imagine a 19th-century steam locomotive climbing uphill with carriages. It consumes a large amount of coal, but only a part of its energy goes into useful work – moving the train. The rest is lost on heating the air, friction between parts, and other processes. To evaluate how efficiently a machine uses the received energy, engineers invented a special indicator – efficiency coefficient.

This indicator helps understand whether our device works well. A refrigerator, air conditioner, or even a common light bulb – each has its own efficiency. It shows how much useful work we get from the energy spent.

In Ukraine, this term is often abbreviated to “ККД”. Engineers use it daily – from designing heating systems to selecting industrial equipment. It also helps save money on utility bills.

What does the term “efficiency coefficient” mean

Efficiency is a number that shows what portion of spent energy is converted into useful work. The term comes from the French “coefficient” – the ratio of numbers. The word “useful” indicates that not all energy goes into the work we need.

The history of this concept began in the 18th century with the invention of steam engines. French engineer Sadi Carnot was the first to study how to improve the operation of heat engines. He noticed that no engine could convert all thermal energy into mechanical work.

How efficiency is expressed

Efficiency is written as a decimal fraction or percentage. For example:

  • η = 0.8 or 80%
  • η = 0.25 or 25%
  • η = 0.95 or 95%

The Greek letter η (eta) is the generally accepted notation for efficiency in technical literature. In Ukrainian, it’s simply called “ККД” or “efficiency”.

Speaking of efficiency, you might be interested in learning: How does a chiller with a cooling tower work?

Physical meaning of efficiency coefficient

What is efficiency from a physics perspective? It’s the ratio of useful energy to total energy spent. Simply put – how much benefit we got from what we spent.

Imagine an electric kettle with 2000W power. In one minute, it consumes 2000J of energy from the network. Part of this energy heats the water (useful work), and part is lost on heating the body, evaporation, and other processes. If 1800J went to heating water, then the kettle’s efficiency is 1800/2000 = 0.9 or 90%.

Why efficiency is always less than 100%

In the real world, achieving 100% efficiency is impossible. There are always losses:

  • Friction in mechanisms
  • Resistance in wires
  • Heating of parts
  • Sound vibrations

Even the most modern electric motors have efficiency no higher than 98%. And incandescent lamps – only 5%, as most energy goes to heat rather than light.

Practical significance of efficiency

Knowledge of efficiency helps:

  • Choose economical equipment
  • Calculate electricity consumption
  • Compare different types of devices
  • Plan system modernization

An air conditioner with 3.5 efficiency will cool a room using 3.5 times less electricity than an electric heater would use to heat by the same number of degrees.

Etymology of the term “efficiency coefficient”

The word “coefficient” came to us from French. The French took it from Latin – “coefficiens”, which means “acting together”. That is, a number that works together with another number in mathematical calculations.

But “useful action” is a purely Ukrainian phrase. Our ancestors always divided work into useful and futile. Useful – the one that gives results. Futile – the one that goes “nowhere”.

How the term was born

In the 18th century, French engineers began building steam engines. Sadi Carnot noticed an interesting thing: machines consume a lot of fuel but do little useful work. This needed to be measured somehow.

The Kraft paper manufacturing process had an efficiency of only 45%. The rest of the energy went to heating the air around the machine. Engineers began looking for ways to improve this indicator.

In Ukraine, the term “efficiency coefficient” was finally established at the beginning of the 20th century. Before this, engineers used different names: “degree of usefulness”, “action ratio”.

Modern understanding of the term

Today, we understand efficiency as a measure of perfection of any device. Electric motor, gas turbine, solar panel – all have their efficiency.

Interestingly, this term sounds different in different languages. The English say “efficiency”, Germans say “Wirkungsgrad”, and Poles say “sprawność”. But the essence is the same – how to determine the efficiency of a device and improve its operation.

How to find efficiency coefficient

Calculating efficiency seems complicated, but it’s actually simple. You need to know two values: how much energy was spent and how much useful work was obtained.

Basic formula

Efficiency = (Useful work / Energy spent) × 100%

Or through notation: η = Quseful / Qspent

Let’s take an electric pump. It consumes 1000 W from the network and pumps water at 800 W power. Efficiency = 800/1000 = 0.8 or 80%.

Practical calculation examples

A gas boiler burns 10 cubic meters of gas per hour. Gas calorific value is 35 MJ/m³. Total energy: 10 × 35 = 350 MJ. House heating used 280 MJ. Boiler efficiency: 280/350 = 0.8 or 80%.

A refrigerator consumes 150 W of electricity. But it doesn’t just cool – it pumps heat. Cooling capacity is 450 W. Here how to find the efficiency coefficient is slightly different: 450/150 = 3.0. This is called the coefficient of performance.

Measurement methods

For accurate efficiency determination, engineers use special devices:

  • Wattmeters for measuring electrical power
  • Heat meters for thermal systems
  • Flow meters for liquids and gases
  • Thermometers for temperature control

In everyday life, efficiency can be roughly estimated through electricity bills. An economical device consumes less while doing the same work.

Understanding what efficiency is and knowing how to calculate it helps save energy and money. This is especially relevant for Ukraine, where energy efficiency is a very pressing issue. By choosing equipment with higher efficiency, we contribute to our country’s energy independence.