Smaller mammals use proportionately more energy than larger mammals; that is, it takes more energy per gram to power a mouse than a human. a typical mouse has a mass of 20 g and, at rest, needs to consume 3.0 cal each day for basic body processes. if a 68 kg human used the same energy per kg of body mass as a mouse, how much energy would be needed each day?

10,200 Cal. per day

Explanation:

The mouse consumes 3.0 Cal each day, and has a mass of 20 grams. We can use this data to obtain a ratio of energy consumption per mass

.

For the human, we need to convert the 68 kilograms to grams. We can do this with a conversion factor. We know that:

,

Now, we can divide by 1 kg on each side

,

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Using this conversion factor, we can obtain the mass of the human in grams, instead of kilograms. First, lets take:

We can multiply this mass for the conversion factor, we are allowed to do this, cause the conversion factor equals 1, and its adimensional

Now that we know the mass of the human on grams, we can multiply for our ratio of energy consumption

So, we would need 10,200  Cal per day.

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