A runner weighs 687 N and 71% of this weight is water. (a) H

In summary, the conversation discusses the calculation of the number of moles and water molecules in a runner's body, given their weight and the percentage of water in their body. The formula n = N/NA and the values for the atomic weights of hydrogen and oxygen are used to calculate the number of moles of water, which is then multiplied by Avogadro's number to determine the total number of water molecules. The mistake of using the runner's weight in grams instead of kilograms is pointed out and corrected.
  • #1
Alice7979
36
2

Homework Statement


A runner weighs 687 N and 71% of this weight is water. (a) How many moles of water are in the runner's body? (b) How many water molecules (H2O) are there?

Homework Equations


n = N/NA
n= m/mass per mole
NA = 6.022E23
F=ma
H: 2*1
O: 16

The Attempt at a Solution


a)
687/9.8=70.1 g
70.1 * .71 = 49.77 g of h20
49.77/18 u = 2.765

b) 6.022E23 * 2.765 = 1.665
 
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  • #2
Alice7979 said:
70.1 g
His mass is only 70.1 grams?! Check your units.
Alice7979 said:
6.022E23 * 2.765 = 1.665
What happened to the E23?
 
  • #3
Alice7979 said:

The Attempt at a Solution


a)
687/9.8=70.1 g
70.1 * .71 = 49.77 g of h20
49.77/18 u = 2.765
Is this reasonable? A man who weighs 70.1 grams? Must be a world record...

(Posted at the same time as haruspex, oops)
 
Last edited:
  • #4
I forgot the formula was in kg
 
  • #5
Alice7979 said:
I forgot the formula was in kg
So does that change your answer?
 
  • #6
haruspex said:
So does that change your answer?
Yes it did, thanks
 
  • #7
Nathanael said:
(Posted at the same time as haruspex, oops)
Always happy to have corroboration.
 

1. What does it mean when it says "71% of the weight is water" in regards to a runner?

When it says that 71% of the runner's weight is water, it means that 71% of the total force of gravity acting on the runner is due to the water in their body. This is because water has a specific gravity of 1, meaning it has a density equal to 1 gram per cubic centimeter. Therefore, the water in the runner's body is contributing to their overall weight.

2. How is the weight of a runner determined?

The weight of a runner is determined by measuring the force of gravity acting on their body. This can be done using a scale, which measures the downward force exerted on an object by gravity. The weight of a runner can also be calculated using the formula W = mg, where W is weight, m is mass, and g is the acceleration due to gravity (9.8 m/s^2 on Earth).

3. What is the significance of knowing a runner's weight?

Knowing a runner's weight can have several implications, as it can affect their performance, health, and training. A runner's weight can affect their speed and endurance, as well as their risk for certain injuries. It can also be used to calculate their body mass index (BMI), which is a measure of body fatness and can help determine if they are at a healthy weight.

4. How does the weight of a runner change during a race?

The weight of a runner can change during a race due to various factors such as fluid and food intake, sweating, and fatigue. As a runner sweats and loses fluids, their weight will decrease. Similarly, as they consume fluids and food during the race, their weight will increase. Additionally, as the runner expends energy and becomes fatigued, their weight may decrease slightly due to muscle fatigue and depletion of glycogen stores.

5. Can a runner's weight affect their performance?

Yes, a runner's weight can affect their performance. A higher weight can make it more difficult to run long distances and maintain speed, while a lower weight can improve speed and endurance. However, it is important to note that overall fitness, nutrition, and other factors also play a significant role in a runner's performance.

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