6) A certain microwave oven produces microwaves of frequency 2450 MHz w/ a power

Question

6) A certain microwave oven produces microwaves of frequency 2450 MHz w/ a power of 500 W. How long should it take to heat 200g of water, initially at room temperature, to the boiling point? Assume that all the microwave energy is absorbed by the water. (The microwave frequency is significant because the water molecules has a rotational resonant frequency at 2450 MHz. This means that water very effectively absorbs radiant energy at this frequency, thereby raising its rotational kinetic energy and its temperature.)

Explanation / Answer

eenrgy consumed is Q= mCT = 0.2*4.186*100 = 84.72 Joules

power = energy/time

time = 83.72/500

time t = 0167 s

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