Physic Labs

Thermal physics

Temperature and its scales

Temperature indicates thermal state; Celsius, kelvin, and Fahrenheit scales are related through fixed points.

Temperature indicates how hot or cold something is and sets the direction of spontaneous heat flow: from higher to lower temperature.

T=tC+273.15,qquadtF=\ rac95tC+32T = t_C + 273.15, \\qquad t_F = \ rac{9}{5}t_C + 32

Definition: Kelvin scale

The Kelvin scale begins at absolute zero; one kelvin has the same interval as one Celsius degree. TT denotes kelvin temperature and tCt_C Celsius temperature.

Adjust temperature and compare three scales; water's boiling point depends on pressure.

Reference points and conversion

At 1 atm, pure water freezes at 0 °C = 273.15 K = 32 °F and boils at 100 °C = 373.15 K = 212 °F. A negative Celsius temperature can still correspond to a positive kelvin temperature.

Example: Convert a temperature

Convert 25 °C to kelvins and Fahrenheit.

Solution

T=25+273.15=298.15T=25+273.15=298.15 K; tF=9(25)/5+32=77t_F=9(25)/5+32=77 °F.

Quick check

A temperature scale assigns numbers to reproducible thermal states. To convert Celsius to kelvins, add 273.15; a temperature interval, however, has the same numerical value on both scales. Fahrenheit has a different interval: a change of 5 °C corresponds to 9 °F. When reading a thermometer, allow it to reach thermal equilibrium with the object and distinguish temperature from heat: temperature is a state variable, whereas heat is energy transferred because of a temperature difference. Water's freezing and boiling points are reference values only near standard atmospheric pressure; at high altitude, lower pressure makes water boil at a lower temperature. Physics equations use kelvins because absolute zero provides a natural zero for thermodynamic temperature, not because matter literally becomes perfectly motionless there.

A good measurement records both the number and the scale, such as 20 °C or 293.15 K; numbers cannot be compared meaningfully when the scale is omitted. In Celsius, 20 °C does not mean twice the temperature of 10 °C; only ratios of absolute temperatures are meaningful in gas laws. Outdoors, keep a thermometer out of direct sunlight when measuring air temperature, since absorbed radiation can make the instrument warmer than the surrounding air.

What is 20 °C in kelvins?

A rise of 4 °C corresponds to how many kelvins?

References

  1. Halliday, Resnick, Walker (2014). Fundamentals of Physics