Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!

This is an AMP page - Open full page! for all features.

• the most efficient way to navigate the Engineering ToolBox!

Heat, Work and Energy

Heat (Energy)

The SI-unit of heat - or energy - is joule (J) .

With temperature difference

Other units used to quantify heat are the British Thermal Unit - Btu (the amount of heat to raise 1 lb of water by 1 oF ) and the Calorie (the amount of heat to raise 1 gram of water by 1 oC ( or 1 K )).

A calorie is defined as the amount of heat required to change the temperature of one gram of liquid water by one degree Celsius (or one degree Kelvin).

1 cal = 4.184 J

1 J = 1 Ws

= (1 Ws) (1/3600 h/s)

= 2.78 10-4 Wh

= 2.78 10 -7 kWh

Heat Flow (Power)

Heat-transfer as result of temperature difference alone is referred to as heat flow. The SI units for heat flow is J/s or watt (W) - the same as power. One watt is defined as 1 J/s .

Specific Enthalpy

Specific Enthalpy is a measure of the total energy in a unit mass. The SI-unit commonly used is J/kg or kJ/kg .

The term relates to the total energy due to both pressure and temperature of a fluid (such as water or steam) at any given time and condition. More specifically enthalpy is the sum of internal energy and work done by applied pressure.

Heat Capacity

Heat Capacity of a system is

• the amount of heat required to change the temperature of the whole system by one degree .
.

Specific Heat

Specific heat  (= specific heat capacity) is the amount of heat required to change temperature of one mass unit of a substance by one degree .

Specific heat may be measured in J/g K, J/kg K , kJ/kg K, cal/gK or Btu/lb oF and more.

Never use tabulated values of heat capacity without checking the unites of the actual values!

Specific heat for common products and materials can be found in the Material Properties section.

Specific Heat - Constant Pressure

The enthalpy - or internal energy -  of a substance is a function of its temperature and pressure.

The change in internal energy with respect to change in temperature at fixed pressure is the Specific Heat at constant pressure - cp .

Specific Heat - Constant Volume

The change in internal energy with respect to change in temperature at fixed volume is the Specific Heat at constant volume - cv .

Unless the pressure is extremely high the work done by applied pressure on solids and liquids can be neglected, and enthalpy can be represented by the internal energy component alone. Constant-volume and constant-pressure heats can be said to be equal.

For solids and liquids

cp = cv (1)

The specific heat represents the amount of energy required to raise 1 kg of substance by 1 oC (or 1 K) , and can be thought of as the ability to absorb heat. The SI units of specific heats are J/kgK (kJ/kg oC) . Water has a large specific heat of 4.19 kJ/kg oC compared to many other fluids and materials .

• Water is a good heat carrier !

Amount of Heat Required to Rise Temperature

The amount of heat needed to heat a subject from one temperature level to an other can be expressed as:

Q = cp m dT (2)

where

Q = amount of heat (kJ)

cp = specific heat (kJ/kgK)

m = mass (kg)

dT = temperature difference between hot and cold side (K)

Example Heating Water

Consider the energy required to heat 1.0 kg of water from 0 oC to 100 oC when the specific heat of water is 4.19 kJ/kg oC :

Q = (4.19 kJ/kg oC ) (1.0 kg) ((100 oC) - (0 oC))

= 419 (kJ)

Work

Work and energy are from a technical viewpoint the same entity - but work is the result when a directional force (vector) moves an object in the same direction.

The amount of mechanical work done can be determined by an equation derived from Newtonian mechanics

Work = Applied force x Distance moved in the direction of the force

or

W = F l                                              (3)

where

W = work (Nm, J)

F = applied force (N)

l = length or distance moved (m)

Work can also be described as the product of the applied pressure and the displaced volume:

Work = Applied pressure x Displaced volume

or

W = p A l                                             (3b)

where

p = applied pressure (N/m2, Pa)

A = pressurized area (m2)

l = length or distance the pressurized area is moved by the applied force (m)

Example - Work done by a Force

The work done by a force 100 N moving a body 50 m can be calculated as

W = (100 N) (50 m)

= 5000 (Nm, J)

The unit of work is joule, J, which is defined as the amount of work done when a force of 1 newton acts for a distance of 1 m in the direction of the force .

1 J = 1 Nm

Example - Work due to Gravitational Force

The work done when lifting a mass of 100 kg an elevation of 10 m can be calculated as

W = F g h

= m g h

= (100 kg) (9.81 m/s2) (10 m)

= 9810 (Nm, J)

where

F g = force of gravity - or weight (N)

g = acceleration of gravity 9.81 (m/s2)

h = elevation (m)

In imperial units a unit work is done when a weight of 1 lbf (pound-force) is lifted vertically against gravity through a distance of 1 foot . The unit is called lb ft .

An object with mass 10 slugs is lifted 10 feet . The work done can be calculated as

W = F g h

= m g h

= (10 slugs) (32.17405 ft/s2) (10 feet)

= 3217 lbf ft

Example - Work due to Change in Velocity

The work done when a mass of 100 kg is accelerated from a velocity of 10 m/s to a velocity of 20 m/s can be calculated as

W = (v2 2 - v12) m / 2

= ((20 m/s)2- (10 m/s)2) (100 kg) / 2

= 15000 (Nm, J)

where

v2= final velocity (m/s)

v1 = initial velocity (m/s)

.

Energy

Energy is the capacity to do work (a translation from Greek-"work within"). The SI unit for work and energy is the joule, defined as 1 Nm .

Moving objects can do work because they have kinetic energy. ("kinetic" means "motion" in Greek).

The amount of kinetic energy possessed by an object can be calculated as

E k =1/2 m v2 (4)

where

m = mass of the object (kg)

v = velocity (m/s)

The energy of a level position (stored energy) is called potential energy . This is energy associated with forces of attraction and repulsion between objects (gravity).

The total energy of a system is composed of the internal, potential and kinetic energy. The temperature of a substance is directly related to its internal energy. The internal energy is associated with the motion, interaction and bonding of the molecules within a substance. The external energy of a substance is associated with its velocity and location, and is the sum of its potential and kinetic energy.

Related Topics

• Heating Systems

Design of heating systems - capacities and design of boilers, pipelines, heat exchangers, expansion systems and more.

• HVAC Systems

Design and sizing of Heating, Ventilation and Air Conditioning systems.

• Thermodynamics

Work, heat and energy systems.

Related Documents

1st Law of Thermodynamics

The First Law of Thermodynamics simply states that energy can be neither created nor destroyed (conservation of energy). Thus power generation processes and energy sources actually involve conversion of energy from one form to another, rather than creation of energy from nothing.

Ammonia - Prandtl Number vs. Temperature and Pressure

Figures and table with changes in Prandtl number for ammonia with changes in temperature and pressure.

Biomass Energy Units

Convert between different biomass energy units.

Carnot Efficiency

The efficiency of the Carnot cycle.

Combustion Heat

Heat of combustion (energy content) for som common substances - with examples how to calculate heat of combustion.

Combustion of Fuels - Carbon Dioxide Emission

Environmental emission of carbon dioxide CO2 when combustion fuels like coal, oil, natural gas, LPG and bio energy.

Condensation of Steam - Heat Transfer

Heat transfer when steam condensates.

Electric Heating of Mass

Electric heating of an object or mass - temperature change vs. energy supplied.

Energy

Energy is the capacity to do work.

Energy Accumulated in Heated Water - kWh

The amount of thermal energy stored in heated water.

Energy Conversion Factors

Convert between energy units

Energy Transfer Equation

Fluid energy transfer.

Fossil vs. Alternative Fuels - Energy Content

Net (low) and gross (high) energy content in fossil and alternative fuels.

Gases - Specific Heats and Individual Gas Constants

Specific heat at constant volume, specific heat at constant pressure, specific heat ratio and individual gas constant - R - common gases as argon, air, ether, nitrogen and many more.

Heat Capacity

The amount of heat required to change the temperature of a substance by one degree.

Heating Up Applications - Energy Required and Heat Transfer Rates

Energy required to heat up a substance.

Hydropower

Power potential vs. head and flow rate.

Kinetic Energy

Energy possessed by an object's motion is kinetic energy.

Metals - Specific Heats

Specific heat of commonly used metals like aluminum, iron, mercury and many more - imperial and SI units.

Methane - Prandtl number vs. Temperature

Figures and table showing changes in Prandtl number for methane with changes in temperature and pressure.

Nitrogen - Prandtl number vs. Temperature and Pressure

Figures and tables showing Prandtl number of nitrogen at varying temperarure and pressure, SI and Imperial units.

Potential Energy - Hydropower

Elevation and potential energy in hydropower.

Propane - Prandtl Number vs. Temperature and Pressure

Figures and tables with Prandtl Number of liquid and gaseous propane at varying temperarure and pressure, SI and Imperial units.

Salt Hydrates - Melting points and Latent Melting Energy

Melting points and latent energy of salt hydrates.

Specific Heat - Online Unit Converter

Online specific heat converter with the most commonly used units.

Standard State and Enthalpy of Formation, Gibbs Free Energy of Formation, Entropy and Heat Capacity

Definition and explanation of the terms standard state and standard enthalpy of formation, with listing of values for standard enthalpy and Gibbs free energy of formation, as well as standard entropy and molar heat capacity, of 370 inorganic compounds.

Standardized Enthalpies and Entropies

Standardized enthalpies and entropies for some common substances.

Thermodynamic Key Values Internationally Agreed

Internationally agreed, internally consistent, values for the thermodynamic properties (standard enthalpy of formation, entropy and [H°(298)-H°(0)]) of key chemical substances.

Units of Heat - BTU, Calorie and Joule

The most common units of heat BTU - British Thermal Unit, Calorie and Joule.

Work done by Force

Work done by a force acting on an object.

Search Engineering ToolBox

• the most efficient way to navigate the Engineering ToolBox!

SketchUp Extension - Online 3D modeling!

Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro . Add the Engineering ToolBox extension to your SketchUp from the Sketchup Extension Warehouse!