Conversions, SI Systems, Tables, Pressure Temp/Chart

 

Conversions

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Power Mass
BTU/hr x 0.292 8 = W (J/s) kg x 2.205 0 = lb
BTU/hr x 251.996 = cal/hr lb x 2 240 = ton (long)
kW x 1.341 0 = hp lb x 2 000 = ton (short)
hp (electrical) x 746.00 = W kg x 1000 = ton (metric)
hp x 2 546.699 = Btu/hr lb x 2 204.623 = ton (metric)
Pressure lb x 14 = stone
atm x 101.325 = kPa gram x 0.2 = carat
atm x 1.013 25 = bar Mass Flow  
atm x 1 013.25 = mbar kg/s x 132.277 3 = lb/m
atm x 14.696 = PSI Volume  
Bar x 100 = kPa m3 x 264.172 1 = gal (US)
Bar x 29.53 = in Hg m3 x 219.969 2 = gal (UK)
Bar x 14.504 = PSI m3 x 35.314 7 = ft3
mbar x 0.750 0 = torr gal (US) x 3.785 4 = litre
mbar x 750 = µ gal (UK) x 4.546 1 = litre
mbar x 100 = Pa pint (US) x 0.473 2 = litre
Pa x 7.5 = µ pint (UK) x 0.568 3 = litre
Pa x 0.0075 = torr quart x 2 = pint
kPa x 10 = mbar quart (US) x 0.946 4 = litre
kPa x 7.500 6 = mmHg quart (UK) x 1.136 5 = litre
PSI x 6.894 8 = kPa litre x 33.814 0 = oz (US)
PSI x 27.71 = in WG litre x 35.195 1 = oz (UK)
PSI x 703.6 = mm WG ft3 x 6.228 8 = gal (UK)
PSI x 2.401 6 = in Hg ft3 x 7.480 5 = gal (US)
PSI x 51.8 = mm Hg litre x 28.316 85 = ft3
kgf/cm2 x 0.980 7 = bar cc x 4.928 922 = teaspoon
kgf/cm2 x 98.0 7 = kPa cc x 14.928 922 = tablespoon
kgf/cm2 x 14.223 = PSI cc x 236.588 2 = cup
mm WG x 9.806 4 = Pa drops x 15.419 63 = cc
in WG x 249.08 = Pa ml x 1 = cc
in Hg x 3.376 85 = kPa Volume Flow  
in Hg x 0.491 2 = PSI m3/s x 2 118.88 = cfm
in Hg x 25.4 = torr m3/hr x 0.588 6 = cfm
mm Hg x 133.322 4 = Pa l/s x 15.850 3 = gpm (US)
mm Hg x 1000 = µ l/s x 13.198 2 = gpm (UK)
mm Hg x 1 = torr l/s x 3.6 = m3/hr
Energy   Specific Heat  
Btu x 1 055.056 = J Btu/lb.ºF x 4.186 8 = kJ/kg.K
Btu x 0.252 0 = kcal kcal/kg.K x 4.186 8 = kJ/kg.K
cal x 4.186 8 = J Temperature  
kJ x 0.947 8 = Btu (ºC x 1.8) + 32 = º F
kJ x 238.845 9 = cal (ºF - 32) ~ 1.8 = º C 
Heat Flow   Absolute temperate (K) = º C + 273.15
Btu/hr/ft2 x 3.154 6 = W/m2 Absolute temperature (R) = º F + 459.67
Heat content/enthalpy   Temperature difference  
Btu/lb x 2.326 0 = kJ/kg 1 K (deg.C?T) = 1.8R (deg.F?T)
Heat Transfer    1 R (deg.F?T) = 0.555 6 K (deg.C?T)
kW x 3 412 = Btu/hr Torque  
Btu/hr.ft2.ºF x 5.678 3 = W/m2.K N.m. x 0.737 6 = ft.lb force
Btu/hr x 0.293 1 = W kgf.m x 9.81 = N.m.
Btu/ft2 x 11 356.53 = J/m2 Velocity/Speed  
Btu/ft2.ºF x 4.874 0 = kcal/m2.K km/hr x 0.277 8 = m/s
Btu/ft2.ºF x 20.407 7 = kJ/m2.K m/s x 196.850 4 = fpm
ton refrigeration x 12 000 = Btu/hr knot x 1.852 = km/hr
ton refrigeration x 3.516 8 = kW mile/hr x 1.609 3 = km/hr
Distance km/hr x 1 193.256 = mach
m x 1.093 6 = yard m/hr x 741.454 9  = mach
m x 3.280 9 = ft Angle  
m x 39.37 = in 360 degrees = revolution
yard x 1 093.613 = km 57.295 8 degrees = radian
ft x 3 280.83 = km 6.283 184 radian = revolution
m x 1 000 = km Area
ft x 12 = in m2 x 10.746 = ft2
mile x 1 609.34 = m m2 x 1.196 0  = y2
mile x 5 280  = ft ft2 x 144  = in2
mm x 25.4 = in acre x 4 046.825 = m2
mm x 304.8 = ft hectare x 10 000 = m2
mm x 914.4 = yard Density
m x 1 609.344 = mile 1 kg/m3 x 0.062 4 =1 lb/ft3
m x 201.168 = furlong    

Abbreviations:
atm = atmosphere
BTU = British Thermal Unit
cal = calories
cc = cubic centimetre
º C = degrees Celsius
cfm = cubic feet per minute
º F = degrees Fahrenheit
ft = foot
f = force
gal = gallon
gpm = gallons per minute
Hg = mercury
hp = horse power
hr = hour
in = inch
J = joule
k = kilo (1000) pre-fix)
K = Kelvin
kg = kilogram
kgf = kilogram-force
km = kilometre
kW = kilowatt
l = litre
lb = pounds (mass)
lbf = pounds - force
m = metre
m = minute
m = milli (0.001) pre-fix
mach = speed of sound
mbar = millibar = bar / 1 000
N = Newton
oz = ounce
PSI = pounds per square inch
R = Rankin (absolute temperature)
s = second
US = United States
W = Watt
WG = water gauge
y = yard
µ = micron
? = delta (difference)

Information taken from African Heating & Cooling - HVAC & R Handbook 2002/3
and 
Refrigeration & Airconditioning Directory 2002

 

SI Systems

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The use of the SI System is compulsory in South Africa and there is little doubt that it will become the only measuring system in the world.

In view of the international character of the SI System, it is imperative that it be applied correctly. If not, wastage of time and unnecessary expenses may result.

The three classes of SI Units

Base Units
The SI is based on a set of seven base units, i.e. the metre (m), the kilogram (kg), the second (s), the ampere (A), the Kelvin (K), the candela (cd) and the mole (mol).

Supplementary Units
This class contains only 2 units, the radian and the steradian, which are the units of plane angle and solid angle respectively.

Derived Units
SI derived units are expressed algebraically in terms of SI base units and supplementary units by means of the mathematical symbols of multiplication and division. For example, speed is defined by distance divided by time, and consequently the unit for speed is the metre per second (m/s).

Some derived units have special names and these can again be used to form further derived units. In basic formulae only SI units are used.

The seven SI Base Units

Quantity Name of Unit International Symbol
Length metre

m

Mass kilogram kg
Time second s
Electric current ampere A
Temperature kelvin K
Luminous intensity candela cd
Amount of substance mole mol

Notes

  1. In refrigeration and airconditioning the term Kelvin, with its symbol K, is used for absolute temperature (T).

  2. The customary temperature (t) is given in degrees Celsius (°C). Celsius temperature is defined by the equation t = T – To, where To = 273.25K by definition.

  3. When expressing a temperature interval or a temperature difference, both units can be used (K or °C).

  4. Symbols for the thermodynamic quantities follow current usage, i.e. capital letters stand for the quantity itself, while the lower case letters stand for the specific quantity.
    Examples:      V = volume v = specific volume
    H = enthalpy h = specific enthalpy

  5. Times, rates of transfer or flow are denoted by a dot over the symbol.
    Examples: m = mass       = rate of mass flow   
    V = volume   = rate of volume flow

Method of writing SI units and symbols

Symbols

Symbols are typed or printed in Roman (upright) letters and are always lower case letters except if the name of the corresponding unit is derived from the name of a person, in which case the symbol, or the first letter thereof if it consists of more than one letter, is a capital letter. Examples: metre (M), second (s), watt (W), hertz (Hz), etc. These rules apply always, even if the rest of the subject matter is printed in upper case or other letter types as in headings of tables, paragraphs, etc.

Examples: LENGTH IN m 
or Length in m
FREQUENCY IN Hz 
or Frequency in Hz

Symbols have no plural, e.g. 1m, 2m, etc.

Note that it is incorrect to refer to the symbols as abbreviations. Symbols are therefore not followed by a fullstop unless they occur at the end of sentence, in which case it is recommended that a space be left between the symbol and the fullstop to stress that the fullstop is not part of the symbol, e.g. the length of an object is 2,5m . The product of two or more symbols is preferably indicated by means of a point. This point is preferably raised above the line as in N×M but also may be printed on the line as in N.M if the former position is not easily reproduced, for example in typed work. If there is no risk of confusion with other symbols then the point may be replaced by a space (N m).

A solidus, horizontal line, or negative powers may be used to indicate division of symbols, e.g. m/s, , or m. but NOT J/mol.K or m/s/s. It is recommended that negative powers be used in more complicated cases which may lack clarity in other notation. Brackets may also be used.

Example:      m.kg.s-3, A -1 or m.kg/(s3.A)

When written out in full, the name of a unit is written in lower case letters irrespective of whether it is derived from the name of a person or not. Exceptions are if the unit appears at the beginning of a sentence, in which case the first letter is a capital letter, and if the whole of the subject matter is printed in capital letters e.g. LENGTH IN METRES.

The plural form is used in English but not Afrikaans, e.g. 1 metre, 2 metres in English, but 1 meter, 2 meter in Afrikaans. In English, multiplication of units is indicated by means of a space (Newton metre), but in Afrikaans it is indicated by means of a hyphen (Newton-meter).

Division is indicated by the word per in both English and Afrikaans, e.g. joule per mole Kelvin (English) and joule per mol-kelvin (Afrikaans). One “per” is used. Where this leads to complications such as with acceleration (metre per second ”per” second), expressions such as metre per second squared are recommended.

SI Prefixes

The use of only SI units would sometimes lead to inconveniantly large or small values. To avoid this cumbersome notation a series of international prefixes are used to form decimal multiples and sub-multiples of SI units.

 

Prefixes (Preferred)
Factor Factor in words SI Prefix SI Symbol
1 000 000 000 000 or 1012 billion tera- T
1 000 000 000 or 109 milliard giga- G
1 000 000 or 106 million mega- M
1 000 or 103 thousand kilo- k
0.001 or 10-3 thousandth milli- m
0.000 001 or 10-6 millionth micro- u
0.000 000 001 or 10-9 milliardth nano- n
0.000 000 000 001 or 10-12 billionth pico- p
0.000 000 000 000 001 or 10-15 billiardth femto- f
0.000 000 000 000 000 001 or 10-18 trillionth atto- a

 

Prefixes (other)

Factor Factor in words SI Prefix SI Symbol
100 or 102 hundred hecto- h
10 or 101 ten deca- da
0.1 or 10-1 tenth deci- d
0.01 or 10-2 hundreth cent- c

 

Units used together with the SI

The units in the table below have attained such a wide general use that there is little hope of eliminating them. Because they play such an important part, they have been recognised and must be retained for general use together with the SI.

Quantity Name of Symbol Volume in Terms of the SI
Capacity litre (l) 1l = 1dm3 = 0.001m3
Volume litre (l) 1l = 1dm3 = 0.001m3
Mass metric ton (t) 1t = 1Mg = 1000kg
Time minute (min) 1 min = 60s
Time hour (h) 1h = 3.6ks = 3600s
TIme day (d) 1d = 86.4ks = 86 400s
TIme week 1 week = 604.8ks = 604 800s

Note 1
It is strongly recommended that where possible and in particular where scientific and technological calculations are under construction, these units be avoided in favour of the corresponding SI Units, or where data is provided in these units that it be first converted to the correct SI units before being used in calculations.

Note 2
The international symbol for the litre is a lower case l. This can, however, sometimes be confused with the number 1in typed and printed matter, and it is therefore recommended that a "script" l, such as shown here, be used for this purpose.

Additional rules, notations and hints

Notation for numbers
For numbers smaller than 1 a zero must precede the decimal indicator.
e.g.    0.5m (500mm) BUT NOT .5m
         R0.25 (or 25c) BUT NOT R.25
If there are more than three numerals on either side of the decimal indicator, then these numerals are divided into groups of three by means of spaces (counting from the decimal sign) to promote readability, 1 725 353.684 901

Standard Values

Table 1: Specific heat capacities of water at different temperatures.
Temperature (ºC) Specific Heat Capacity of Water (kJ/kg.ºC)
0 4.217 4
4 4.204 5
15 4.185 5
99 4.214 5
Table 2: Specific heat capacities of air and steam
Specified Capacity - average for A/C applications (kJ/kg.ºC)
Dry Air 1.012
Moist Air 1.020
Water Vapour 1.890
Table 3: Specific latent heat of vaporization of water

(ºC)

(kJ/kg.)

0 2 501
10 2 477
20 2 454
30 2 430
50 2 383
100 2 257
150 2 114
200 1 940

Values of the accelerations due to gravity at various places in Southern Africa

Basis:  Pendulum House, Cambridge, England     [g = 9.812 65 m/s2]
Cape Town 9.796 52 m/s2
Port Elizabeth 9.796 34 m/s2
Pretoria 9.786 258 m/s2
Bloemfontein 9.788 47 m/s2
East London 9.793 22 m/s2
Durban 9.793 22 m/s2
Harare 9.781 44 m/s2
Windhoek 9.783 17 m/s2
Johannesburg 9.785 46 m/s2

A good average value for Southern Africa is 9.79m/s2

Standard Temperature and Pressure (S.T.P)
Standard Temperature and Pressure (S.T.P) refers to an absolute pressure of 101.325 0kPa and a temperature of 0ºC.

Density of Dry Air
The density of dry air at various pressures and temperatures is given in the following table:

Temp

Density of dry air in kg/m3
Altitude and Barometric Pressure

ºC Sea Level
101.325kPa
700m
93.19kPa
1 400m
85.60kPa
1700m
82.50kPa
0 1.293 1.189 1.092 1.053
10 1.247 1.147 1.053 1.015
15 1.226 1.128 1.036 0.998
20 1.205 1.108 1.018 0.981
30 1.165 1.071 0.984 0.949

Note:
The density of moist air can be obtained from the appropriate psychrometric charts.

References
SABS publication M33, The International Metric System (SI)
SABS publication M23, Metrication in the Fan, Ventilation, Refrigeration and Compressed Air Industries.

 

SI Electrial Symbols

Comparative table of the most commonly used symbols

 

Nature of Symbols

European Standards

US Standards

(Old Version)
Power
(Old Version)
Control
(New Version)
Power 
(New Version)
Control

Power

Control
Normally open contact N/O
Normally closed contact N/C
Contact delayed on energisation "on delay" timers
Contact delayed on energisation "off delay" timers
 

Fuses

Rolays
Operating coils
Motors
Disconnect switches, isolators
Circuit breakers

Information supplied by the Refrigeration & Airconditioning Directory 2002
www.plumbingafrica.co.za

and African Heating & Cooling - HVAC & R Handbook 2002/3

 

 

Tables

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Air conditioning Design Check Figures

Description Sea Level Altitude
Cooling load offices - standard design 110 W/m2 100 W/m2
Heating load office - standard design 45 W/m2 50 W/m2
Cooling load offices - energy efficient design 90 W/m2 80 W/m2
Heating load offices - energy efficient design 40 W/m2 40 W/m2

 

Cooling Loads of Commercial Office Building Elements:
Load Element Average High
Lights 18 W/m2 25 W/m2
Equipment 15 W/m2 35 W/m2
Fresh Air l/s/m2 and (Resulting W/m2) 0.75 l/s/m2 @ 11W/m2 1 l/s/m2 @ 16W/m2
m2 per person and (Resulting W/m2) 10m2 @ 13W/m2 7m2 @ 18W/m2
Facade load per floor area 45 W/m2 55 W/m2

 

Cooling Loads of Retail Building Elements:
Load Element Average High
Lights 30 W/m2 60 W/m2
Fresh Air l/s/m2 and (Resulting W/m2) 0.75 l/s/m2 @ 11W/m2 1.61 l/s/m2 @ 24W/m2
m2 per person and (Resulting W/m2) 10m2 @ 12W/m2 6m2 @ 20W/m2
Facade load per floor area 10 W/m2 30 W/m2

 

Energy Consumption - Commercial Offices (Total electrical consumption):
Description Check Figure
Energy efficient design electrical demand - Average per m2 65 W/m2
Energy efficient design electrical consumption - MJ/m2.annum 500
Standard design electrical demand - Average VA/m2 per month 90
Standard design electrical consumption - MJ/m2.annum 1100

 

Design Weather Data:
City Winter (°C db) Summer (db/°C wb)
Bloemfontein 1.7 35/21
Cape Town 7.0 35/21.1
Durban 10 30/25.5
Johannesburg 2 30/20
Port Elizabeth 7 30/22
Pretoria 5 33.3/21
  1. Source: Based on CSIR Research Report 300: Van Deventer, E.N. 1971. Climatic and other design data for evaluating heating and cooling requirements of buildings. CSIR. Updated by RIchard Pearce & Partners, February 2002.
  2. Data quoted are for 2.5% probability levels.

 

Check Figures for Cold and Freezer Room Loads

Cold Room 1°C

Capacity based on 100mm polystyrene panels with an outside box temperature of 32°C, compressor suction -5°C and a 6K difference on blower coil.

Holding only:  Zero product load

Average usage:  Based on 35kg/m3/day coming in at 20°C

Heavy usage:  Based on 70kg/cm3/day coming in at 20°C

 

Freezer Room -20°C

Capacity based on 150mm polystyrene panels with an outside box temperature of 32°C, compressor suction -26°C and a 6K difference on blower coil.

Holding only:  Zero product load

Average usage: Based on 35kg/m3/day coming in at -5°C

 

Freezer Room -20°C

Capacity based on 150mm polystyrene panels with an outside box temperature of 32°C, compressor suction -26°C and a 6K difference on blower coil.

Heavy usage: Based on 35kg/m3/day coming in at +10°C

 

 

Average Power Factor Efficiencies and Full Load Currents

Details are given for 3000 rpm motors. Details for other speeds vary slightly.

Three-phase motors:
Output power      
kW hp Power factor Efficiency % Amps @ 380 V
0.37 0.5 0.81 66.0 1.05
0.55 0.75 0.81 71.0 1.45
0.75 1 0.85 72.0 1.85
1.1 1.5 0.82 75.0 2.7
1.5 2 0.86 78.0 3.4
2.2 3 0.82 80.0 5.1
3 4 0.88 84.0 6.2
4 5.5 0.85 84.0 8.5
5.5 7.5 0.89 84.0 11
7.5 10 0.87 88.0 15
9.2 12 0.88 87.0 19
11 15 0.90 88.0 21
15 20 0.90 89.0 28
18.5 25 0.89 89.4 35
22 30 0.87 90.0 43
30 40 0.88 90.6 57
37 50 0.87 91.0 71
45 60 0.87 92.0 85
55 75 0.87 92.7 104
75 100 0.89 92.5 139
100 136 0.88 92.8 187
110 150 0.89 93.5 200

Source: Nustart Electric Motors

Single-phase motors:
Output power  
kW hp Amps @ 220 Volts
0.37 0.5 3.9
0.55 0.75 5.2
0.75 1.0 6.6
1.1 1.5 9.6
1.5 2 12.7
2.2 3 18.6
3 4 24.3
4 5 29.6

Source: Telemecanique

Pressure Temp/Chart

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Download the PDF document of the chart by clicking here