It is common to model hot ASC performance with the same formula used in cold ASC analysis except that a specific heat ratio (k) typical of high-temperature gas is used. Determine the Carnot ASC thermal efficiency of an engine with an 8.00 to 1 compression ratio, using
a. A cold ASC analysis with k = 1.40.
b. A hot ASC analysis with k = 1.30.
c. Determine the percent decrease in the Carnot thermal efficiency between the cold and hot ASC analysis.