A certain heat lamp emits 200 W of mostly IR radiation averaging 1500 nm in wavelength. (a)

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A certain heat lamp emits 200 W of mostly IR radiation averaging 1500 nm in wavelength.

(a) What is the average photon energy in joules? 

(b) How many of these photons are required to increase the temperature of a person's shoulder by 2.0°C, assuming the affected mass is 4.0 kg with a specific heat of 0.83 kcal/kg · °C. Also assume no other significant heat transfer. 

(c) How long does this take?

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