Conversion Between Metric And Us Customary Units Worksheet Page 7
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Kelvin Scale
Another unit of measure for temperature is the Kelvin. This temperature scale is an extension of the
Celsius scale (°C). It is symbolized using K (not °K), and is used frequently in physics and chemistry.
Kelvin does not have negative numbers; i.e., it begins at absolute zero, at which there is complete
absence of heat energy.
Absolute zero
Water freezes
Water boils
0 K
273.15 K
373.15 K
Kelvin scale
–273.15 °C
0 °C
100 °C
Celsius scale
–459.67 °F
32 °F
212 °F
Fahrenheit scale
To convert between Celsius (°C) and Kelvin (K) measurements and to convert between Fahrenheit
(°F) and Kelvin (K), use the conversion tables below.
Conversion Table
(°F – 32)
K = °C + 273.15
°C to K
°F to K
K = =
+ 273.15
1.8
°C = K – 273.15
°F = 1.8(K – 273.15) + 32
K to °C
K to °F
Example 7.3-i
Converting Between the Celsius (°C) Scale and the Kelvin (K) Scale
Convert the following:
(i)
25°C to Kelvin (ii)
300 K to Celsius (iii) 75°F to Kelvin (K) (iv)
350 K to Fahrenheit (°F)
(i)
25°C to Kelvin:
(ii)
300 K to Celsius:
Solution
K = °C + 273.15
°C = K – 273.15
= 25 + 273.15
= 300 – 273.15
= 298.15 K
= 26.85 °C
Therefore, 25°C is equal to 298.15 K.
Therefore, 300 K is equal to 26.85 °C.
(iii) 75°F to Kelvin (K):
(iv)
350 K to Fahrenheit (°F):
(
)
°F = 1.8(K – 273.15) + 32
o
F 32
−
K = =
+ 273.15
= 1.8(350 – 273.15) + 32
1.80
= 1.8(76.85) + 32
(
)
75
−
32
= =
+ 273.15
= 138.33 + 32
1.80
= 170.33 °F
43
= =
+ 273.15
Therefore, 350 K is equal to 170.33 °F.
1.80
= 23.888888... + 273.15
= 297.038888... = 297.04 K
Therefore, 75°F is equal to 297.04 K.
7.3 Conversion Between Metric and US Customary Units
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