# Pressure Cooker

**Discipline:** Mathematics

**Type of Paper:** Question-Answer

**Academic Level:** High school

**Paper Format:** APA

**Pages:**3

**Words:**825

Question

# (A) A pressure
cooker is a pot whose lid can be tightly sealed to prevent gas from entering or
escaping. If an otherwise empty pressure cooker is filled with air of room
temperature and then placed on a hot stove, what would be the magnitude of the
net force F_120 on the lid when the air inside the cooker had been heated to
120 degrees Celsius? Assume that the temperature of the air outside the
pressure cooker is 20 degrees Celsius (room temperature) and that the area of
the pressure cooker lid is A. Take atmospheric pressure to be p_a. Treat the
air, both inside and outside the pressure cooker, as an ideal gas obeying
pV=N*k_B*T. Express the force in terms of given quantities.

(B) The pressure relief valve
on the lid is now opened, allowing hot air to escape until the pressure inside
the cooker becomes equal to the outside pressure p_a. The pot is then sealed
again and removed from the stove. Assume that when the cooker is removed from
the stove, the air inside it is still at 120 degrees Celsius. What is the
magnitude of the net force F_20 on the lid when the air inside the cooker has
cooled back down to 20 degrees Celsius? Express the magnitude of the net force
in terms of given quantities.

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