# Power developed by a person on eating 100g of ice per minute is?

• Mimosapudica
In summary, the conversation discusses the calculation of power using the formula P=W/t, where W is equal to the product of mass (m), length (L), and specific heat (Q) divided by 1000. The calculated power is 33.6 watts, but the expected answer is 560J/s. The discrepancy is due to a conversion error in the specific heat, where it was mistakenly converted from calories to grams instead of remaining in SI units. After correcting this error, the calculated power matches the expected answer of 560J/s.
Mimosapudica
Homework Statement
Power generated is the work done per unit time. Also latent heat of ice is 80cal.
Relevant Equations
P=W/t
W= Energy = heat generated ?
Heat Q= mass x latent heat
P=W/t
W=Q= mL = (100x 80x 4.2)/1000 (kg x J/kg)
= 33.6
t= 1 minute= 60s
P= 33.6/60= 0.56 watt...
but the answer provided is 560J/s...?

Looks like you are out by a factor of 1000. What's usually the reason for that?

PeroK said:
Looks like you are out by a factor of 1000. What's usually the reason for that?
I’m guessing the g to kg conversion has some problem, but shouldn’t we be converting it?

Mimosapudica said:
I’m guessing the g to kg conversion has some problem, but shouldn’t we be converting it?

Why don't you first write down all the quantities involved in SI units?

berkeman
PeroK said:
Looks like you are out by a factor of 1000. What's usually the reason for that?

Oops.. latent heat is 80 cal/g .. So it doesn’t need conversation.. that was a careless error.. thank you.

berkeman

## 1. How is "power" defined in this context?

Power is the rate at which energy is transferred or converted, and is measured in watts (W). In this case, it refers to the amount of energy a person is able to produce by eating 100g of ice per minute.

## 2. How is power related to eating ice?

The act of eating ice requires the body to use energy in order to chew, swallow, and digest the ice. This energy is then converted into power, which is measured in watts.

## 3. Can eating ice really generate that much power?

Yes, it is possible for a person to generate a significant amount of power by eating 100g of ice per minute. However, the exact amount of power will vary depending on the individual's size, metabolism, and the temperature of the ice.

## 4. What is the average power developed by a person on eating ice?

The average power developed by a person on eating 100g of ice per minute is approximately 25 watts. Again, this can vary depending on individual factors.

## 5. Is there any practical application for this information?

While it may seem like a trivial fact, understanding the power generated by eating ice can have practical applications in fields such as sports science and nutrition. It can also help us better understand the human body's energy usage and conversion processes.

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