The frequency of respiration (breaths per minute) for mammals obeys the same type of scaling equation as does the specific metabolic rate (i. e. the exponent x is the same, but the constant c is obviously different). What is the ratio of the frequency of respiration of the mouse to that of the cow

40 times

Explanation:

The mouse is a small organism, therefore, it needs short and fast spurts of respiration. Thus, the mouse has a larger rate than a cow.

As the frequency of respiration or breathing per minutes is resolved and made simple by using the kleiber's law. As it relates the metabolic rate of the organism and the animals mass. As "q°" is the organisms metabolic rate (or the rate at which metabolic reactions are done inside a cell) and "M" is termed as the mass of the organism.

As we have the following equation to find out or measure the frequency or respiration of an organism, which is as follows:

q° ~ M¾.

Explanation:

Now, due to the difference in size or more over the specific mass, "m" of the organisms body.

As the mass of a cow is about 720 kg, while the mouse's mass is about 30 kg in adult form. So, if we analyze both the values we get to know that the ratio of the frequency of a cow will be about 40 times more then that of the mice's metabolic rate in general form.