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Elina
29 days ago
6

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 gauge and has an opening cross-sectional area of 4 mm2. assume an atmospheric pressure of 101 kpa.
Physics
1 answer:
inna [2.2K]29 days ago
6 0

Answer:

m=40.816\ gm

Explanation:

Given:

The pressure exerted by the cooker, P=10^5\ Pa (gauge)

the area of the opening, a=4\ mm^2

  • It is understood that gauge pressure is assessed relative to atmospheric pressure, which acts on all parts of the observed system, requiring us to only counteract the gauge pressure.

Since the petcock is positioned at the opening's cross-section, it balances out the built-up pressure owing to its weight.

Thus:

m.g=P\times a

where:

m= represents the mass of the petcock

g= denotes the acceleration due to gravity

m\times 9.8=10^5\times 4\times 10^{-6}

m=40.816\ gm

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