המרת סולמות טמפרטורה (סולם צלזיוס לסולם פרנהייט לסולם קלווין)

9 Converting temperature scales (Celsius scale Fahrenheit scale Kelvin scale)

1. 50 ^oC = ….. ^oF ?

פתרון

At standard atmospheric לחץ, the freezing point of water is 0 ^oC on the Celsius scale ו 32 ^oF on the Fahrenheit scale. At standard atmospheric pressure, the boiling point of water is 100 ^oC on the Celsius scale and 212 ^oF on the Fahrenheit scale.

0 ^oC = 32 ^oפ' ו-100 ^oC = 212 ^oF. A change of 5 C^o = a change of 9 F^o.

For a Celsius scale, the distance between 0 ^oC ו- 100 ^oC divided into 100 equal intervals. For a Fahrenheit scale, the distance between 0 ^oC ו- 100 ^oC divided into 180 equal intervals.

T^oF = (180/100) T^oג + 32

T^oF = (9/5) T^oג + 32

T^oF = (9/5) 50 + 32

T^oF = (9) 10 + 32

T^oF = 90 + 32

T^oF = 122

50 ^oC = 122 ^oF

2. 86 ^oF = ….. ^oC ?

פתרון

T^oC = (100/180)(T^oF – 32)

T^oC = (5/9)(T^oF – 32)

T^oC = (5/9)(86 – 32)

T^oC = (5/9)(54)

T^oC = (5)(6)

T^oC = 30

86 ^oF = 30 ^oC

3. 50^oC = ….. K ?

פתרון

ט = ט ^oג + 273

T = 50 + 273

T = 323

50 ^oC= 323 K

4. 212^oF = ….. K ?

פתרון

T^oC = (100/180)(T^oF – 32)

T^oC = (5/9)(T^oF – 32)

T^oC = (5/9)(212 – 32)

T^oC = (5/9)(180)

T^oC = (5)(20)

T^oC = 100

212 ^oF = 100 ^oג + 273

212 ^oF = 373 K

 

5. אקס ^oC = x ^oF

x = ….. ?

פתרון

1 : Converting Celsius scale into Fahrenheit scale

2 : Converting Fahrenheit scale into Celsius scale

6. 122°F = ….. Celsius

פתרון

The conversion between the two temperature scales can be written :

T_C = 5/9 (T_F - 32)

T_C = טֶמפֶּרָטוּרָה in Celsius, T_F = temperature in Fahrenheit

The temperature in Celsius :

T_C = 5/9 (122 – 32) = T_C = 5/9 (90) = 5 (10)

T_C = 50 ^oC

7. The figure below shows the temperature measurement of a liquid with the Fahrenheit scale thermometer! If the temperature of the liquid is measured using a Celsius scale thermometer, then מה הוא the liquid temperature.

ידוע:

פרנהייט סולם (T_F) = 95^oF

מבוקש: Celsius scale

פתרון:

At a pressure of 1 atm, the freezing point of water is 0 °C while the Fahrenheit scale is 32 ^oF. Conversely, the boiling point of water for the Celsius scale is 100 ^oC while the Fahrenheit scale is 212 ^oF.

On the Celsius scale, between 0 °C and 100 ° C there are 100 ° while on the Fahrenheit scale between 32 °F to 212 °F there is 180°.

T_C = 100/180 (T_F - 32)

T_C = 5/9 (T_F - 32)

T_C = 5/9 (95 - 32)

T_C = 5/9 (63)

T_C = 315 / 9

T_C = 35^oC

8. Based on figure below, determine the temperature P on the Celsius thermometer.

פתרון

T_C = 100/180 (T_F - 32)

T_C = 5/9 (T_F - 32)

T_C = 5/9 (104 – 32)

T_C = 5/9 (72)

T_C = 360 / 9

T_C = 40 ^oC

9. If the temperature of Celsius scale as shown in figure below, determine the temperature of Fahrenheit scale as shown in figure below.

פתרון:

T^oF = (180/100) T^oג + 32

T^oF = (9/5) T^oג + 32

T^oF = (9/5) 60 + 32

T^oF = (9) 12 + 32

T^oF = 108 + 32

T^oF = 140

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