If you want to cook in water at 150^∘ C, you need a pressure cooker that can withstand the neces

step 1 Well, cooking water at 150 degrees centigrade means boiling point of water increases to 150 % to

If you want to cook in water at 150^∘ C, you need a pressure...

If you want to cook in water at $150^{\circ} \mathrm{C}$, you need a pressure cooker that can withstand the necessary pressure. (a) What pressure is required for the boiling point of water to be this high? (b) If the lid of the pressure cooker is a disk $25.0 \mathrm{cm}$ in diameter, what force must it be able to withstand at this pressure?

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Key Concepts

Area Calculation for a Circular Surface

The area of a circle is calculated using the formula A = ?r², where r is the radius. This geometric concept is crucial when dealing with round objects, such as the lid of a pressure cooker, to determine the total area over which a known pressure is distributed, allowing for the calculation of the force exerted on the lid.

Pressure-Force Relationship

Pressure is defined as the force exerted per unit area (P = F/A). This fundamental concept allows one to calculate the total force acting on a surface when the pressure and area are known. In this scenario, once the required pressure is known, the corresponding force needed on the door of the pressure cooker can be computed by multiplying the pressure by the lid's area.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid (or solid) phase at a given temperature. It determines the boiling point of a liquid; when the vapor pressure equals the surrounding pressure, the liquid begins to boil. In this context, to raise the boiling point of water to 150°C, the water’s vapor pressure at that temperature must be matched by the pressure inside the cooker.

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