According to a famous article by Max Kleiber*, the scaling of the metabolic rate

Question

According to a famous article by Max Kleiber*, the scaling of the metabolic rate or energy consumption for mammals P_metab (measured in kcal/day) with the body mass M_b (measured in kilograms) is P_metab = 70 M_b 0.75. *M. Klieber, "Body size and metabolism," Hilgardia 6.315(1932) Which uses more energy per unit body mass, a small animal or a large animal? a small animal a large animal 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?

Explanation / Answer

Frequency = cMb^(0.75-1) = cMb^-0.25

ratio = (0.030/300)^-0.25

= 10 Answer

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