General Thermal/Energy Physics Problem

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The discussion revolves around the thermal dynamics of a steel electric kettle with a power rating of 2.5W. It explains that the kettle's metal wall and the water maintain thermal equilibrium due to efficient heat transfer, even during boiling. The energy required to heat 0.75Kg of water from 20°C to 100°C is calculated using the specific heat capacity, resulting in a total energy transfer of 315,000J. Two assumptions made include that there are no heat losses to the environment and that the specific heat capacity remains constant. Participants are encouraged to show their calculations and clarify any difficulties encountered in determining the time taken for the heating process.
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The Plug of a new steel, electric kettle says "power rating 2.5W"

a) The metal wall of the kettle and the water inside the kettle always remain close to thermal equilibrium, even when the water boils. Explain how this is true.

b) The kettle uses 300J to raise its temperature by 1 Kelvin. 0.75Kg of water with specific heat capacity 4200 JKgK is heated from 20'C to 100'C. Calculate the energy transferred during the process and state two assumptions you have made.

c) Calculate the time the process takes
 
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