7.12. 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 log T - log...

7.12. 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 log T - log 273.15 L = (99.974) log 373.124 – log 273.15' where L is any temperature on the logarithmic temperature scale and T is the corre- sponding 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 10-3K and 15 x 106 K. (6) 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.