Answer :
Final answer:
To withstand water at 150°C, a 25 cm diameter pressure cooker lid must exert a force of around 23810 Newtons. This was calculated using the laws of physics to calculate the required pressure at the given temperature and the force using the pressure and surface area of the lid.
Explanation:
The pressure inside the pressure cooker is created due to the conversion of water into steam at high temperature. According to the laws of physics, pressure (P) is calculated as Force (F) divided by the surface area (A). In this scenario, we must first calculate the surface area of the lid (A) in square meters which can be calculated using the formula πr2, (where r is the radius, in this case 25.0 cm or 0.125 m). A= π * ( 0.125)2 = 0.049 m2.
The pressure required to maintain a temperature of 150ºC in a pressure cooker is roughly 4.79 atm or 486061.47625 Pa (Pascals), assuming standard atmospheric pressure. To find the force (F), we can rearrange the formula for pressure obtaining F = P * A. Therefore, F = 486061.47625 Pa * 0.049 m2 = approximately 23810 N. So the force that the pressure cooker lid must be able to withstand is around 23810 Newtons.
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