Answer to Question #263616 in Microbiology for atenz

Question

The metabolic rate R ( kJ day^-1) of mammals varies with their body

mass M (kg) according to the power law R=k M^3/4. where k is a constant.

 

A common shrew has a mass of 9 g and a metabolic rate of 7 kJ day^-1.

 

(a) What is the metabolic rate in kJ day^-1 of a dog whose mass is 5 kg? Give the answer to at least 3 significant figures.

 

(b) What is the mass in kg of a cat with a metabolic rate 560 kJ day^-1? Give the answer to at least 3 significant figures.

Answer 1

a)Metabolic rate in kJ day^-1 of a dog whose mass is 5 kg;

$=\frac{5kg\times 7KJday^{-1}}{9\times10^{-3}Kg}$

=3,888.889 KJ day^-1

b)mass in kg of a cat with a metabolic rate 560 kJ day^-1

$=\frac{560KJday^{-1}\times 9\times10^{-3}Kg}{7KJday^{-1}}$

=0.720 Kg