   Chapter 29, Problem 74PE

Chapter
Section
Textbook Problem

Integrated ConceptsA 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?

To determine

(a)

A certain heat lamp emits200W of mostly IR radiation averaging1500nm in wavelength. Find the average photon energy in joules

Explanation

Given Data:

Given that a certain heat lamp emits200W of mostly IR radiation averaging1500nm in wavelength. Find the average

Formula Used:

Energy of photon is calculated as

E=hcλ

Whereh= Planck's Constant

λ= Wavelength

c= Speed of light

Calculation:

We haveh=6.626×1034J.s

λ=1500nm=1500nm×109m1nm=1500×109m

&em

To determine

(b)

A certain heat lamp emits200W of mostly IR radiation averaging1500nm in wavelength. The average photon energy is1.33×1019J . How many of these protons are required to increase the temperature of a person's shoulder by2C

To determine

(c)

A certain heat lamp emits200W of mostly IR radiation averaging1500nm in wavelength. The average photon energy is1.33×1019J .2.1×1023protons are required to increase the temperature of a person's shoulder by2C . How long does this take?

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