Enormous numbers of microwave photons areneeded to warm macroscopic samples of m

Question

Enormous numbers of microwave photons areneeded to warm macroscopic samples of matter. A portion of soupcontaining 235 g water is heated in a microwave oven from 21°Cto 90.°C, with radiation of wavelength 1.55 10-2 m. How manyphotons are absorbed by the water in the soup? Enormous numbers of microwave photons areneeded to warm macroscopic samples of matter. A portion of soupcontaining 235 g water is heated in a microwave oven from 21°Cto 90.°C, with radiation of wavelength 1.55 10-2 m. How manyphotons are absorbed by the water in the soup?

Explanation / Answer

      Increase in energy ofwater = m s T                                                 = 235g * 4.186 J/gram . oC * ( 90-21oC)                                                  =67875.99 J       Energy of photons E = nhC/                                       =(n * 6.625 x 10-34 * 3 x 108 ) / 1.55 x10-2 m                (n * 6.625 x 10-34 * 3 x 108 ) / 1.55x 10-2 = 67875.99               n = number of photons = 5.293 x 1027

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