LECTURE 3
3.1 Temperature


Temperature - a concept originates with our sense perceptions.

Several properties of materials change with temperature in a repeatable and predictable way, and this forms the basis for accurate temperature.

Examples: volume expansion (mercury), electrical resistance.

Any body with at least one measurable property that changes with temperature can be used as a thermometer. Such a property is called thermometric property. The particular substance that exhibits changes in the thermometric property is known as the thermometric substance.

Devices
Property
Substance
Liquid-in-Glass Thermometers Volume (Height) Mercury, Alcohol
Gas Thermometers Pressure Helium, Hydrogen
Thermocouples Electromotive Force (emf)

Copper-Constantan,
Platinum-Platinum & Rhodium

RTD-Resistance Temperature Devices Electric Resistance Platinum, Nickel Copper
Thermistor Electric Resistance Semiconductors

 

 

The gas thermometers are used as a standard worldwide by bureaus of standards and research laboratories.

 

 

The equality of temperature is the only requirement for thermal equilibrium.

3.2 Zeroth Law of Thermodynamics


Two systems in thermal equilibrium with a third system are in thermal equilibrium with each other.

It may seem silly that such an obvious fact is called one of the basic law of thermodynamics. However, it cannot be concluded from the other law of thermodynamics, and it serves as a basis for the validity of temperature measurement.

By replacing the third body with a thermometer, the zeroth law can be restated as: Two bodies are in thermal equilibrium if both have the same temperature reading (even if they are not in contact).

Zeroth Law of Thermodynamics was first formulated by R. H. Fowler in 1931. Since the so-called First and Second Law of Thermodynamics were formulated much earlier, and since in a logical development of the subject it must be stated before them, it has been agreed to designate it as the Zeroth Law.

3.3 Temperature Scales


Temperature scales enable scientists to use a common basis for temperature measurement. Temperature scales are defined by the numerical values assigned to standard fixed points.

Examples:

Ice point: a mixture of ice and water which is in equilibrium with air saturated with vapor at 1-atm pressure.

Steam point: a mixture of liquid water and water vapor, with no air, in equilibrium at 1-atm pressure.

Triple point
: the state of equilibrium among steam, ice and liquid water.

Celsius Scale
(Centigrade Scale)
Fahrenheit Scale
Named After Swedish Astronomer A. Celsius
Named After German Instrument Maker G. Fahrenheit
Ice Point
0 C
Ice Point
32 F
Steam Point
100 C
Steam Point
212 F
Triple Point
0.01 C
Triple Point
32.02 F


3.3.1 Absolute Temperature Scales

Kelvin Scale
Rankine Scale
Named After Lord Kelvin
Named After W. Rankine
Ice Point
273.15K
Ice Point
491.67R
Steam Point
373.15K
Steam Point
671.67R
Triple Point
273.16K
Triple Point
491.69R


There are no negative temperature on an absolute temperature scale and the lowest attainable temperature is absolute zero.

3.3.2 Constant-Volume Gas Thermometer


At the triple point of water, T=273.16K (0.01),

or [1]


Repeat the measurements several times with less gas in the bulb in each successive attempt. For each trial the ratio is calculated from Eq. (1) and plotted versus the corresponding reference pressure of the gas at the triple point temperature.

As pressure decreases, the values for different gases approach one another, and in the limit as pressure tends to zero, the same value for is obtained for each gas.

The temperature scale thus defined is independent of the properties of any one gas.

 

3.3.3 Conversion


= K - 273.15

= R - 459.67

R = 1.8 K

= 1.8 + 32

Note that the magnitudes of each division in K and are identical,

T (K) = T ()

Similarly, T (R) = T ()

 

3.3.4 Use Kelvin or Celsius Scale?

If the relation involves temperature differences, it makes no difference and either one can be used. But if the relation involves temperature only instead of temperature difference, then K (the absolute temperature) must be used. When in doubt, it is always safe to use K because there are virtually no situations in which the use of K is incorrect, but there are many thermodynamic relations which will yield erroneous result if is used.