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physics 2211
MP18: Chapter 16
Due at 5:30pm on Monday, December 10, 2007
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Interconversion of Temperature Scales
Celsius
The world's most common temperature scale is Celsius. Abbreviated C, it is virtually the same as the old
centigrade
scale and therefore has 100 degrees between the melting point and boiling point of water, taken to occur at 0 and 100
degrees, respectively.
Kelvin
Temperature is a measure of the thermal energy of a system. Thus cooling can proceed only to the point at which all
of the thermal energy is removed from the system, and this process defines the temperature of
absolute zero
. The
Kelvin scale, also called the absolute temerature scale, takes its zero to be absolute zero. It uses units of kelvins
(abbreviated K), which are the same size as the degrees on the Celsius scale.
Fahrenheit
This anachronistic temperature scale, used primarily in the United States, has zero defined as the lowest temperature
that can be reached with ice and salt, and 100 degrees as the hottest daytime temperature observed in Italy by Torricelli.
Part A
In the equation of state for the perfect gas,
, which of the following three temperature scales must be
used?
ANSWER:
Celsius
Kelvin
Fahrenheit
In physical equations, you are free to use any units for the physical quantities that you wish, provided that you
use the same units consistently throughout that equation. However, systems of units do not shift the zero: Zero
feet is the same length as zero meters. This is not true for shifted temperature scales like Farenheit and
Celsiustheir zeros are arbitrarily displaced from absolute zero (and do not even agree with each other).
You
must use a temperature scale whose zero is at absolute zero in physical formulas involving the temperature.
Part B
What is the formula used to convert a temperature in degrees Celsius (
) to the same temperature in kelvins (
)?
Express
in terms of
.
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ANSWER:
=
Part C
What is the formula used to convert a temperature in degrees Fahrenheit (
) to the same temperature in degrees
Celsius (
)?
Express
in terms of
.
ANSWER:
=
Part D
It is possible to get a good "feel" for the Celsius scale because multiples of 10 have special significance:
: very cold weather;
: water freezes;
: a cool day, so wear a jacket outside;
: room temperature;
: a hot day, so drink extra water;
: a high fever.
Convert these six temperatures into Fahrenheit.
Part D.1 Convert from Celsius to Fahrenheit
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 Fall '08
 DUNCAN
 Physics

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