4. 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 in 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.

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4. 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 in 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.
P
atm
= 101 kPa
Pressure cooker
Petcock
A = 4 mm²
Transcribed Image Text:4. 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 in 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. P atm = 101 kPa Pressure cooker Petcock A = 4 mm²
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