Temperature differences on the Rankine scale are identical todifferences on the

Question

Temperature differences on the Rankine scale are identical todifferences on the Fahrenheit scale, but absolute zero is given as0°R. (a) Find a relationship converting thetemperatures TF of the Fahrenheit scale to thecorresponding temperaturesTR of the Rankinescale. (Use T_F for TF.)


(b) Find a second relationship converting temperaturesTR of the Rankine scale to the temperaturesTK of the Kelvin scale. (Use T_R forTR.)

(a) Find a relationship converting thetemperatures TF of the Fahrenheit scale to thecorresponding temperaturesTR of the Rankinescale. (Use T_F for TF.)


(b) Find a second relationship converting temperaturesTR of the Rankine scale to the temperaturesTK of the Kelvin scale. (Use T_R forTR.)

Explanation / Answer

(a).  relationship converting the temperaturesTF of the Fahrenheit scale to the correspondingtemperaturesTR of the Rankine scale is ( TF-32 ) / 180 = ( TR -492 ) /180                                                        TF = TR -492+32                                                  = TR - 460 (b).  second relationship converting temperaturesTR of the Rankine scale to the temperaturesTK of the Kelvin scale is               (TK-273)/100 = ( TR -492) / 180                     TK-273 = ( 5/9 ) ( TR -492 )                          TK = ( 5/9)(TR-492 ) + 273

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