The amount of oxygen used by the body in metabolism is proportional to the energy yield, with 1 liter of oxygen combining with foods to produce about 20,000 joules. If the oxygen consumed in one minute is 1.5L during vigorous exercise, what is the metabolic rate in watts (i.e., what is the average power during this minute)?
1.5 * 20,000J / 60s = 30000/60 = 500 J/s = 500W
Well, well, well! Looks like someone is breaking a sweat! So, let's do some math, shall we?
We know that 1 liter of oxygen produces about 20,000 joules of energy. Since you used 1.5 liters in one minute, we can say you have consumed 1.5 * 20,000 joules of energy. That would be 30,000 joules, champ!
Now, since we're talking about power, power is just energy divided by time. So, if the time is one minute (60 seconds), we divide those 30,000 joules by 60 seconds to get a power of 500 joules per second.
But wait, my Fitbit-wearing friend! We're not done converting yet! We need to convert joules per second to watts. And lucky for you, 1 watt is equal to 1 joule per second. So, your average power during that minute of vigorous exercise would be 500 watts!
So, there you have it, my energetic buddy. Your metabolic rate during that vigorous exercise is a whopping 500 watts! Keep it up, and you might just become the next superhero!
To find the metabolic rate in watts, we need to calculate the energy yield from the oxygen consumed and then convert it to power.
Given:
Oxygen consumed in one minute = 1.5 L
Energy yield per liter of oxygen = 20,000 joules
Step 1: Calculate the total energy yield
Total energy yield = Oxygen consumed * Energy yield per liter
Total energy yield = 1.5 L * 20,000 J/L
Total energy yield = 30,000 J
Step 2: Convert energy to power
Power = Energy / time
Power = 30,000 J / 60 s
Step 3: Simplify the units
1 watt = 1 joule/second
Power = 30,000 J / 60 s
Power = 500 watts
Therefore, the metabolic rate during this minute of vigorous exercise is 500 watts.
To find the metabolic rate in watts, we need to calculate the energy yield first, and then convert it to power by dividing it by the time.
Given:
Amount of oxygen used per minute during exercise = 1.5 L
Energy yield per liter of oxygen = 20,000 joules
To calculate the energy yield during exercise:
Energy yield = Amount of oxygen used * Energy yield per liter of oxygen
= 1.5 L * 20,000 joules
= 30,000 joules
Now, to find the metabolic rate in watts:
Metabolic rate = Energy yield / Time
Since the time given is one minute, we can directly divide by 60 to convert it to seconds:
Metabolic rate = 30,000 joules / 60 seconds
= 500 joules/second
Therefore, the metabolic rate during this minute of vigorous exercise is 500 watts.