How Much Force to Open a Cooled Pot Lid?

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Homework Help Overview

The problem involves calculating the force required to open a tightly sealed pot lid after a temperature change, using principles from thermodynamics and gas laws. The context includes the initial and final temperatures of the air inside the pot, the diameter of the pot, and the atmospheric pressure.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the ideal gas law to determine the final pressure in the pot after cooling. There is confusion regarding how to calculate the final pressure and its role in determining the force needed to open the lid.

Discussion Status

Some participants are exploring the relationship between pressure, volume, and temperature as described by the ideal gas law. Guidance has been offered on how to find the final pressure, but there is no consensus on the calculations or the reasoning behind them.

Contextual Notes

Participants are working with specific values for temperature and atmospheric pressure, but there may be uncertainties regarding the assumptions made about the gas behavior and the system's conditions.

mrlac1212
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Member advised to use the homework template for posts in the homework sections of PF.
A pot is closed tightly with a lid when the temperature of the air in the pot is 80 oC. The temperature of the system then drops to 15 oC. Find the force needed to pull the lid and the pot apart. The diameter of the pot is 20 cm, and the atmospheric pressure is 1,0 bar.

The ANSWER is F = 580 N but I don't know how to get it, I got F = Area x Pressure but so confused about the final pressure.
 
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mrlac1212 said:
A pot is closed tightly with a lid when the temperature of the air in the pot is 80 oC. The temperature of the system then drops to 15 oC. Find the force needed to pull the lid and the pot apart. The diameter of the pot is 20 cm, and the atmospheric pressure is 1,0 bar.

The ANSWER is F = 580 N but I don't know how to get it, I got F = Area x Pressure but so confused about the final pressure.
Are you familiar with the ideal gas law?
 
Chestermiller said:
Are you familiar with the ideal gas law?
yeah right, it in Ideal Gas chapter, with nR = pV/T
 
mrlac1212 said:
yeah right, it in Ideal Gas chapter, with nR = pV/T
You can find the final pressure in the pot by using this equation.
 

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