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

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