The Physics
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Opus in profectus

Temperature

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Problems

practice

    1. Derive the equations to convert temperatures in…
      1. degree Fahrenheit to degree Celsius
      2. degree Celsius to degree Fahrenheit
      3. degree Fahrenheit to kelvin
      4. kelvin to degree Fahrenheit
    2. At what temperature do the…
      1. Celsius and Fahrenheit scales coincide?
      2. Kelvin and Fahrenheit scales coincide?
    3. Complete the table below.
    A comparison of temperature scales
    kelvin Celsius Fahrenheit
    absolute zero +0,000.000    
    100 K +0,100.000    
    [°C] = [°F]      
    0 °F     +0,000.000
    n.f.p. H2O +0,273.150 +0,000.000 +0,032.000
    room temp. 1   +0,020.000  
    room temp. 2 +0,300.000    
    body temp.   +0,037.000  
    100 °F     +0,100.000
    n.b.p. H2O +0,373.150 +0,100.000 +0,212.000
    [K] = [°F]      
    1,000 °F     +1,000.000
    1,000 K +1,000.000    
    1,000 °C   +1,000.000  
  2. Write something else.
  3. Write something different.
  4. Write something completely different.

conceptual

  1. Two related questions — version one (one international, one Anglo-American).
    1. What would a graph of the Celsius temperature scale look like when plotted against the kelvin scale (Celsius on the y axis and kelvin on the x axis)? What slope would the graph have? What y intercept?
    2. What would a graph of the Fahrenheit temperature scale look like when plotted against the kelvin scale (Fahrenheit on the y axis and kelvin on the x axis)? What slope would the graph have? What y intercept?
    3. Superimpose the two graphs. Where do they intercept?
  2. Two related questions — version two (one international, one Anglo-American).
    1. What would a graph of the kelvin temperature scale look like when plotted against the Celsius scale (kelvin on the y axis and Celsius on the x axis)? What slope would the graph have? What y intercept?
    2. What would a graph of the Fahrenheit temperature scale look like when plotted against the Celsius scale (Fahrenheit on the y axis and Celsius on the x axis)? What slope would the graph have? What y intercept?
    3. Superimpose the two graphs. Where do they intercept?
  3. Two related questions — version three (Anglo-American only).
    1. What would a graph of the Celsius temperature scale look like when plotted against the Fahrenheit scale (Celsius on the y axis and Fahrenheit on the x axis)? What slope would the graph have? What y intercept?
    2. What would a graph of the kelvin temperature scale look like when plotted against the Fahrenheit scale (kelvin on the y axis and Fahrenheit on the x axis)? What slope would the graph have? What y intercept?
    3. Superimpose the two graphs. Where do they intercept?

numerical

  1. The Homigrade (human scale) temperature scale was invented by the American physician Franklin E. Aspinwall in 1918. He assigned a temperature of 0 °H to the normal freezing point of water and 270 °H to the normal boiling point.
    1. Derive the equations to convert temperatures in…
      1. degree Homigrade to degree Celsius
      2. degree Celsius to degree Homigrade
      3. degree Homigrade to degree Fahrenheit
      4. degree Fahrenheit to degree Homigrade
    2. At what temperature do the…
      1. Fahrenheit and Homigrade scales coincide?
      2. Kelvin and Homigrade scales coincide?
    3. Complete the table below.
    A comparison of temperature scales
    kelvin Celsius Fahrenheit Homigrade
    absolute zero +0,000.000 +0,−273.150 +0,−459.670  
    100 K +0,100.000 +0,−173.150 +0,−279.670  
    [°C] = [°F] +0,233.150 +0,0−40.000 +0,0−40.000  
    0 °F +0,255.372 +0,0−17.778 +0,000.000  
    n.f.p. H2O +0,273.150 +0,000.000 +0,032.000 +0,000.000
    room temp. 1 +0,293.150 +0,020.000 +0,068.000  
    room temp. 2 +0,300.000 +0,026.850 +0,080.330  
    body temp. +0,310.150 +0,037.000 +0,098.600  
    [°F] = [°H]        
    100 °F +0,310.928 +0,037.778 +0,100.000  
    100 °H       +0,100.000
    n.b.p. H2O +0,373.150 +0,100.000 +0,212.000 +0,270.000
    [K] = [°H]        
    [K] = [°F] +0,574.588 +0,301.438 +0,574.588  
    1,000 °H       +1,000.000
    1,000 °F +0,810.928 +0,537.778 +1,000.000  
    1,000 K +1,000.000 +0,726.850 +1,340.330  
    1,000 °C +1,273.150 +1,000.000 +1,832.000