Temperature and Internal Energy/Time to heat water

juanita
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A cup of water is scooped up from a swimming pool of water. Compare the temperature T and the internal energy U of the water, in both the cup and the swimming pool.
a) Tpool is less than Tcup, and the U is the same.
b) Tpool is equal to Tcup, and Upool is less than Ucup.
c) Tpool is equal to Tcup, and Upool is greater than Ucup.
d) Tpool is greater than Tcup, and the U is the same.

A 5 kW heater is used to heat water. How long will it take to heat 20 kg of water from 20 degrees celsius to 100 degrees celsius?
a) 32 minutes
b) 2 minutes
c) 12 minutes
d) 22 minutes

any help would be appreciated, thanks!
 
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Welcome to PF :smile:

What are your thoughts on how to solve the problems? What equations (from your textbook or class lecture) do you think would apply here?
 

Thread 'Modeling a graph that shows age in relation to depth of an ice sample'

To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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