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A container with 0.485 L of water is placed into microwave and is then radiated with electromagnetic energy that has a wavelength of 14.1 cm. The temperature of the water then rose by 69.9 °C. Calculate the number of photons that were absorbed by the water. Assume water has a density of 1.00 g·mL–1 and its specific heat is 4.184 J·g–1·°C–1
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Calculate the energy (J) increase due to heating. Then: Use energy per photon = h f = (Planck's constant)(frequency) frequency = (speed of light)/(wavelength) Divide: energy gain/energy per photon = number of photons
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Use Hvap of water = 40.7 kJ/mol, c of water = 4.184 J/g.u00b0C, and molar mass of HO = 18.
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