How Long to Boil a Larger Kettle of Water?

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SUMMARY

The time required to boil a larger kettle of water, specifically one that has twice the mass of a smaller kettle, is directly proportional to its mass when using the same electric coil. If boiling a small kettle takes A minutes, then boiling a larger kettle will take 2A minutes, assuming no heat loss to the environment and that the kettle is made of the same metal throughout. This conclusion is based on the principles of thermodynamics and heat transfer.

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  • Basic mathematical skills for proportional reasoning
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This discussion is beneficial for physics students, engineers, and anyone interested in understanding the principles of heat transfer and thermodynamics in practical applications.

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My friend asks me this question, I have not worked it out.
I hope it is suitable to maths box .

The time to boil a small kettle of water using a electric coil is A minutes.
Q: How many minutes needed to boil a big kettle (two times the mass of water compared to the small kettle), if using the same coil. Consider no heat is transmitted away to the ambient.
 
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It is 2A
 
Is it the same metal kettle the entire time?

If so, then the answer is 2A.

Also, this would be a better fit in the general physics forum than in general math.
 

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