A pressure cooker cooks a lot faster than - Mechanical Engineering

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A pressure cooker cooks a lot faster than an ordinary pan by maintaining a higher pressure and temperature inside. The lid of a pressure cooker is well sealed, and steam can escape only through an opening in the middle of the lid. A separate metal piece, the petcock, sits on top of this opening and prevents steam from escaping until the pressure force overcomes the weight of the petcock. The periodic escape of the steam m this manner prevents any potentially dangerous pressure buildup and keeps the pressure inside at a constant value. Determine the mass of the petcock of a pressure cooker whose operation pressure is 100 kPa gage and has an opening cross-sectional area of 4 mm2. Assume an atmospheric pressure of 101 kPa, and draw the free-body diagram of the petcock.

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Step 1

Draw the free body diagram of the pressure cooker.

ChemistryExplain “#424 A pressure cooker cooks a lot faster than in Mechanical Engineering, Best colleges for mechanical engineering

Step 2

Consider the equilibrium condition for the pressure cooker.

Here, the mass of petcock is m, the gage pressure acting inside the cooker is , the cross sectional area of opening is A, and the acceleration due to gravity is g.