Optimizing Pressure Cooker Steam Release: Weight Calculation for Boiling at 120C

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To achieve boiling at 120°C in a pressure cooker with an atmospheric pressure of 101.3 kPa, the required mass for the weight covering a 5 mm² opening is calculated using the formula m = (p1 - p2)A/g. The saturated water pressure at 120°C is 0.2 MPa, leading to a pressure difference of 98.7 kPa. This results in a mass of approximately 50.36 grams needed to maintain the desired pressure. The calculations confirm that the approach and result are correct. Proper weight calculation is essential for safe and effective pressure cooking.
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Homework Statement


A pressure cooker has a lid screwed on tight. A small opening with A=5 mm2 is covered with a weight which can be lifted to let steam escape. How much mass should the weight have to allow boiling at 120 C with an outside atmosphere at 101.3kPa

Homework Equations



p=f/a therefore f = pa and the mass will be equal to pa/g

saturated water pressure at 120C is .2 Mpa
atmospheric pressure is 101.3 Kpa

m = (200000-101300)(.005)/9.8 = 50.36g

The Attempt at a Solution

 
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Right so someone tell me if I'm correct here:

p=f/a therefore f = pa and the mass will be equal to pa/g

saturated water pressure at 120C is .2 Mpa
atmospheric pressure is 101.3 Kpa

m = (200000-101300)(.005)/9.8 = 50.36g

Am I correct?
 
correct!
 
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