Answer to Question #259282 in Classical Mechanics for Tithi

Question

Miss Y agreed to keep a request from her friend to cook rice in an aluminium pot. A metal cover was used on the top of the aluminium pot during cooking, but after a short-while the metal cover was fallen down. They involved in a debate to explain it using a theorem of physics why the metal cover has been fallen down from the top of the aluminium pot. Miss Y said that it was due to produced pressure but her friend agreed on it to some extent and also asked about the conversion of energy, demanding to show the expression for the theorem. Could please help Miss Y?

Answer 1

$\text{Aluminum is a good heat-conducting material.}$

$\text{Consequently, the heat transferred to the pan }$

$\text{{is transferred to the air in the pan.}}$

$\text{Or, when the pan is heated, the air inside heats up.}$

$\text{by Gay-Lussac's law :}$

$\frac{P}{T}= const$

$P = cost *T$

$\text{The pressure increases in direct proportion to the temperature.}$

$\text{At a certain amount of pressure, the force on the inner}$

$\text{surface of the lid will be greater than the force on }$

$\text{the outer surface of the pot.}$

$\text{The pan lid will shift and, accordingly, fall to the ground.}$