Thermodynamics cooking Question

AI Thread Summary
Cooking beef stew will take the shortest time when the pan is covered with a heavy lid, as this allows the water to reach temperatures above 100 degrees Celsius, resulting in boiling and steam generation. The steam contains a significant amount of heat, which accelerates the cooking process. A heavy lid traps steam effectively, maximizing heat retention and pressure, similar to a pressure cooker. This setup ensures that the water and steam remain in thermal equilibrium, enhancing overall cooking efficiency. Therefore, using a heavy lid is the optimal choice for reducing cooking time.
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Homework Statement



A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered with a heavy lid. For which case will the cooking be the shortest? Why?

Homework Equations





The Attempt at a Solution



I don't know where to start with this question. Any help would be appreciated. thanks.
 
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ashkash said:

Homework Statement



A househusband is cooking beef stew for his family in a pan that is (a) uncovered, (b) covered with a light lid, and (c) covered with a heavy lid. For which case will the cooking be the shortest? Why?

Homework Equations





The Attempt at a Solution



I don't know where to start with this question. Any help would be appreciated. thanks.

Think of the beef being cooked in water on an element that is at a temperature greater than 100 deg. C.

What happens to the water? What is the temperature of that phase of water? Which of the three ways would result in that (phase of) water reaching the highest temperature?

AM
 
When the temperature is greater than 100 deg C the water boils and turns into vapor. To get the highest temperature in that phase the pan would need to be covered with a heavy lid. This will give the shortest cooking time.

Is this correct or am I on the right path? thanks.
 
ashkash said:
When the temperature is greater than 100 deg C the water boils and turns into vapor. To get the highest temperature in that phase the pan would need to be covered with a heavy lid. This will give the shortest cooking time.

Is this correct or am I on the right path? thanks.
Sort of on the right track. You haven't explained why the heavy lid will give you the shortest cooking time.

Think of the quantity of heat contained in the steam. You want to maximize the amount of heat contained in the steam. How is that be done (think of the steam as an ideal gas and set up an equation for heat in terms of temperature pressure, volume and quantity of steam)?

AM
 
ashkash said:
When the temperature is greater than 100 deg C the water boils and turns into vapor. To get the highest temperature in that phase the pan would need to be covered with a heavy lid. This will give the shortest cooking time.

Is this correct or am I on the right path? thanks.

How does a pressure cooker work?
 
Andrew Mason said:
You want to maximize the amount of heat contained in the steam.
But the meat is submerged in the water, isn't it?
 
thats a very politically correct problem you have there...
 
Gokul43201 said:
But the meat is submerged in the water, isn't it?
Not necessarily. But it doesn't really matter. Assuming the water and steam are in thermal equilibrium, the water will be at the same temperature as the steam.

AM
 
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