Examples

The examples given here for the Calcumber calculator are interactive: edit the inputs and calculations and see the result changing immediately.

See also:

Examples in German

Electricity Consumption of a TV

Do you remember when TVs used flickering cathode‑ray tubes? Screens were much smaller back then — typically around 20‑inches instead of today’s 65‑inch models. Which matters more for energy use: improvements in efficiency, or the increase in screen area?

Low resolution art showing old cathode ray tv.
Technology Power per Screen Area
Good Old Tube 500 W/m2
Plasma 400 W/m2
LED 120 W/m2
OLED 180 W/m2

Calculate the energy consumption and yearly bill by changing the inputs below. For an old TV, use a 20‑inch CRT and 500 W/m²; for a modern LED TV, use a 65‑inch screen and 120 W/m². Set the aspect ratio to 4:3 for CRTs and 16:9 for modern displays.

And how many hours a day is your TV running?

Screen Geometry  
===============  
Typically, we know the diagonal and the aspect ratio.  
Diagonal:      d = 20 inch 20 inch
Aspect ratio:  ar = 4 / 3 1.33333
   
How to get height, width and area?  
  Pythagoras:            d = sqrt(w^2 + h^2)  
  Divided by h:        d/h = sqrt((w/h)^2 + 1^2)  
  Using aspect ratio:  d/h = sqrt(ar^2+1)  
   
  We can solve for h and finally calculate:  
  Height:  h = d / sqrt(1 + ar^2) 12 inch
  Width:   w = h * ar 16 inch
  Area:    A = h * w  to m2 0.123871 m2
   
Yearly Energy Bill  
==================  
Power per Area: ppA = 500 W/m2 500 W/m2
Power:    P = ppA * A 61.9354 W
Energy:   E = 5 h/day * 1 year * P to kWh 113.109 kWh
Cost:     c = 14 USDct/kWh * E  to $ 15.8353 $

In case you already know the power your TV needs, it is a one-liner:

TV energy bill: 150 W * 6 h/day * 1 year * 37 EURct/kWh 121.628 €

Can You Cook Pasta on Mount Everest?

Mount Everest
Photo by Rdevany, via Wikimedia Commons, licensed under CC BY-SA 3.0.

How does the low air pressure affect pasta cooking?

In high altitude, the air pressure is much lower. As a consequence, water will boil earlier than usual!

Mountain height:  
h = 8849 m 8849 m
   
Air pressure decreases by about 1% every 80 m:  
p = 1013 mbar * 99% ^ (h / 80 m) to mbar 333.279 mbar
   
What is the boiling temperature of water?  
   
load fluid water 1
T_boil = T(p) 71.5326 °C

It is not the bubbles of the boiling water that get your pasta done, it is the temperature. And with only 72°C, you'd have to wait forever.

What about other Mountains, or the elevation of your home?
Edit the calculation above and change the height value (Matterhorn: 4478 m, Kilimanjaro 5895, Mount Fuji 3776 m, Denali 6190 m, Dead Sea: -430 m).

Fluid Properties Calculator

2026-06-27 by Samuel

Define your fluid and use any pair of pressure, temperature, specific enthalpy, specific entropy, density and vapor quality as parameter 1 and 2. Calcumber then calculates all properties for that state.

See pure fluids and fluid mixtures for a list of available fluids.

Fluid Selection:  
load fluid water 1
   
State parameters:  
Parameter1:              par1 = 20 °C 20 °C
Parameter2:              par2 = 1 bar 1 bar
   
Temperature:             T(par1, par2) 293.15 K
Pressure:                p(par1, par2) 1 bar
Specific enthalpy:       h(par1, par2) 84.006054 kJ/kg
Gibbs energy:            g(par1, par2) -2.9021070 kJ/kg
Inernal energy:          u(par1, par2) 83.905874 kJ/kg
Specific entropy:        s(par1, par2) 0.29646311 kJ/(kg*K)
Density:               rho(par1, par2) 998.20654 kg/m3
Specivic volume:         v(par1, par2) 0.0010017967 m3/kg
Vapor quality:           x(par1, par2)  to % -100 %
Speed of sound:          a(par1, par2) 1482.3440 m/s
Viscosity:              mu(par1, par2) to mPa*s 1.0015966 mPa*s
Thermal conductivity:    k(par1, par2) 0.59801157 W/(m*K)
Specific heat  
- at constant pressure: cp(par1, par2) 4184.0551 J/(kg*K)
- at constant volume:   cv(par1, par2) 4156.6862 J/(kg*K)