The Pressurized Tea Kettle · AI Generator #GEN-AFDB8A91

Physics · thermodynamics

Problem

A traditional tea kettle with a tight-fitting lid is heated on a stove. Initially, the kettle contains air at atmospheric pressure P0=1.01×105  PaP_0 = 1.01 \times 10^5\;\text{Pa} and temperature T0=20°CT_0 = 20°\text{C}. The kettle's internal volume is V=2.5  LV = 2.5\;\text{L}. As the kettle heats up, the lid remains sealed (no air escapes), and the temperature rises to Tf=95°CT_f = 95°\text{C} just before the water begins to boil. Assuming the air behaves as an ideal gas and the kettle's volume remains constant, what is the final pressure inside the kettle?

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