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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Physics

12 October, 18:37

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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Kyler Jensen · Answer 1

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