Calculate the temperature ranges on the logarithmic scale

Reference no: EM131353607

A logarithmic thermodynamic temperature scale, which can be constructed to agree with the Celsius scale at NMP-H₂0 and NBP-H₂0, is related to the Celsius scale by the formula

L = (99.974) ((log T- log 273.15)/(log 373.124-log 273.15)),

Where L is any temperature on the logarithmic temperature scale and T is the corresponding Kelvin temperature on the linear temperature scale. The formula reduces to

L = 738.08 log T - 1798.26.

(a) Calculate logarithmic temperatures for several representative temperatures between 10^-3 K and 15 x 106K.

(b) Consider two different temperature ranges on the linear scale that yield the same thermal efficiency for a Carnot cycle. Calculate the temperature ranges on the logarithmic scale and draw a conclusion about efficiency on the logarithmic scale.

Reference no: EM131353607

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