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i am currently dealing with this problem here: i have some water and want to heat it up with microwaves. how do I determine the change in temperature of the water when i just know the characteristic features of the radiation? is there an equation for it? of course this process is not linear and saying that the energy of the incident radiation is equal to the temperature difference is not really what i am looking for.

i am rather looking for an equation on a molecular level.

it should have something to do with the fluctuating dipole moment of the water molecule in the electric field of the microwave. but how do I determine the temperature difference by using this? any ideas?