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Suppose that the microwave radiation has a wavelength of 12.4cm . How many photons are required to heat 285mL of coffee from 25.0 ^\circ \rm C to 62.0 ^\circ \rm C? Assume that the coffee has the same density, 0.997g/mL , and specific heat capacity, 4.184\rm J/(g\cdot K) , as water over this temperature range. Express the number of photons numerically.

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