# Learning Objectives

### Learning Objectives

By the end of this section, you will be able to do the following:

• Explain the human body’s consumption of energy when at rest versus when engaged in activities that do useful work
• Calculate the conversion of chemical energy in food into useful work

# Energy Conversion in Humans

### Energy Conversion in Humans

Our own bodies, like all living organisms, are energy conversion machines. Conservation of energy implies that the chemical energy stored in food is converted into work, thermal energy, and/or stored as chemical energy in fatty tissue (see Figure 7.27). The fraction going into each form depends both on how much we eat and on our level of physical activity. If we eat more than is needed to do work and stay warm, the remainder goes into body fat.

Figure 7.27 Energy consumed by humans is converted to work, thermal energy, and stored fat. By far, the largest fraction goes to thermal energy, although the fraction varies depending on the type of physical activity.

# Power Consumed at Rest

### Power Consumed at Rest

The rate at which the body uses food energy to sustain life and do different activities is called the metabolic rate. The total energy conversion rate of a person at rest is called the basal metabolic rate (BMR) and is divided among various systems in the body, as shown in Table 7.4. The largest fraction goes to the liver and spleen, with the brain coming next. Of course, during vigorous exercise, the energy consumption of the skeletal muscles and heart markedly increase. About 75 percent of the calories burned in a day go into these basic functions. The BMR is a function of age, gender, total body weight, and amount of muscle mass—which burns more calories than body fat. Athletes have a greater BMR due to their muscle mass.

Organ Power Consumed at Rest (W) Oxygen Consumption (mL/min) Percent of BMR
Liver & spleen 23 67 27
Brain 16 47 19
Skeletal muscle 15 45 18
Kidney 9 26 10
Heart 6 17 7
Other 16 48 19
Totals 85 W 250 mL/min 100
Table 7.4 Basal Metabolic Rates (BMR)

Energy consumption is directly proportional to oxygen consumption because the digestive process is basically one of oxidizing food. We can measure the energy people use during various activities by measuring their oxygen use (see Figure 7.28) Approximately 20 kJ of energy are produced for each liter of oxygen consumed, independent of the type of food. Table 7.5 shows energy and oxygen consumption rates—power expended—for a variety of activities.

# Power of Doing Useful Work

### Power of Doing Useful Work

Work done by a person is sometimes called useful work, which is work done on the outside world, such as lifting weights. Useful work requires a force exerted through a distance on the outside world, and so it excludes internal work, such as that done by the heart when pumping blood. Useful work includes work done when climbing stairs or accelerating to a full run, because these are accomplished by exerting forces on the outside world. Forces exerted by the body are nonconservative; they can change the mechanical energy ($KE + PEKE + PE size 12{"KE "+" PE"} {}$) of the system worked upon, and this is often the goal. A baseball player throwing a ball, for example, increases both the ball’s kinetic and potential energy.

If a person needs more energy than they consume, such as when doing vigorous work, the body must draw upon the chemical energy stored in fat. So, exercise can be helpful in losing fat. However, the amount of exercise needed to produce a loss in fat or burn extra calories consumed can be large, as Example 7.13 illustrates.

### Example 7.13Calculating Weight Loss from Exercising

If a person who normally requires an average of 12,000 kJ (3,000 kcal) of food energy per day consumes 13,000 kJ per day, he will steadily gain weight. How much bicycling per day is required to work off this extra 1,000 kJ?

Solution

Table 7.5 states that 400 W are used when cycling at a moderate speed. The time required to work off 1,000 kJ at this rate is then

7.81 $Time = energy energy time = 1,000 kJ 400 W = 2,500 s = 42 min. Time = energy energy time = 1,000 kJ 400 W = 2,500 s = 42 min. size 12{"Time"= { {"energy"} over { left ( { {"energy"} over {"time"} } right )} } = { {"1000"" kJ"} over {"400 W"} } ="2500"" s"="42 min" "." } {}$

Discussion

If this person uses more energy than he or she consumes, the person’s body will obtain the needed energy by metabolizing body fat. If the person uses 13,000 kJ but consumes only 12,000 kJ, then the amount of fat loss will be

7.82 $Fat loss = ( 1,000 kJ ) 1.0 g fat 39 kJ = 26 g, Fat loss = ( 1,000 kJ ) 1.0 g fat 39 kJ = 26 g, size 12{"Fat loss"= $$"1000"" kJ"$$ left ( { {1 "." "0 g fat"} over {"39 kJ"} } right )="26"" g,"} {}$

assuming the energy content of fat to be 39 kJ/g.

Figure 7.28 A pulse oxymeter is an apparatus that measures the amount of oxygen in blood. Oxymeters can be used to determine a person’s metabolic rate, which is the rate at which food energy is converted to another form. Such measurements can indicate the level of athletic conditioning as well as certain medical problems. (Credit: UusiAjaja, Wikimedia Commons)
Activity Energy Consumption in Watts Oxygen Consumption in Liters O2/min
Sleeping 83 0.24
Sitting at rest 120 0.34
Standing relaxed 125 0.36
Sitting in class 210 0.60
Walking (5 km/h) 280 0.80
Cycling (13–18 km/h) 400 1.14
Shivering 425 1.21
Playing tennis 440 1.26
Swimming breaststroke 475 1.36
Ice skating (14.5 km/h) 545 1.56
Climbing stairs (116/min) 685 1.96
Cycling (21 km/h) 700 2.00
Running cross-country 740 2.12