Enzyme a and enzyme b both catalyze the same reaction. if enzyme a has a larger turnover number than enzyme b, then which enzyme, if either, has a higher catalytic efficiency?

enzyme b is more efficient because it's turnover number is smaller.
enzyme a is more efficient because it's turnover number is larger.
not enough information is provided to know for certain.

Enzyme A, if we assume the concentration of the enzymes (A and B) are the same

Explanation:

As Enzyme turnover number is defined as the number of chemical conversions of substrate per second that a single enzyme can perform in its catalytic site, for a given enzyme concentration, we can say that the Enzyme A has a higher catalytic efficiency. This is true only if [Enzyme A] = [Enzyme B]

c. heat could easily travel through the molecules in the air and escape/enter the flask. removing the air slows down the heat transfer.  

they it depends on if one believes about radioactivity, they make a geiger counter beep but maybe it was going to beep anyway electronics do wierd things all the time or it was programmed to beep near certain metals.