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A pressure cooker partially filled with water is heated until air escapes from the relief valve. The weighted stopper weighs 2.5lb-f and the relief orifice has a diameter of ¹/⁴ . Calculate the pressure inside the cooker when the water-vapor mixture is venting

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Final answer:

The question involves calculating the pressure inside a pressure cooker using the force exerted by a weighted stopper and the area of the relief valve. The relevant physics principle is that pressure is the force per unit area, and units must be properly converted to calculate this.

Step-by-step explanation:

The concept being asked about pertains to the physics of pressure systems, specifically involving the use of a pressure cooker. The scenario involves calculating the pressure inside a cooker using given forces and dimensions of the relief valve. It involves applying principles of fluid mechanics and the understanding that force exerted by a pressurized gas or steam can be calculated using the pressure and area over which it acts.

To calculate the pressure inside the cooker when the water-vapor mixture is venting, we would typically use the formula P = F/A, where P is the pressure, F is the force, and A is the area. The force is given by the weight of the stopper, which is 2.5 lb-f (pounds-force). The area can be calculated using the diameter of the relief orifice. The diameter is given in inches, so we must convert the weight to pounds-force and then to the appropriate units for pressure, which could be psi (pounds per square inch) or atm (atmospheres), depending on which standard is used.

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