   Chapter 29, Problem 75PE

Chapter
Section
Textbook Problem

Integrated ConceptsOn its high power setting, a microwave oven produces 900 W of 2560 MHz microwaves. (a) How many photons per second is this? (b) How many photons are required to increase the temperature of a 0.500-kg mass of pasta by 45.0°C assuming a specific heat of 0.900   kcal / kg ⋅ ° C ? Neglect all other heat transfer. (c) How long must the microwave operator wait for their pasta to be ready?

To determine

(a)

On its high-power setting, a microwave oven produces900W of2560MHz microwaves. How many photons per seconds is this?

Explanation

Given Data:

Given that a microwave oven produces900W of2560MHz microwaves

Formula Used:

Energy of photon is calculated as

E=hf

Whereh= Planck's Constant

f= Frequency

Calculation:

We havef=2560MHz=2560×106Hz

h=6.626×1034J.s

Energy of proton is calculated as

E=hf

E=(6.626×1034J.s)(2560×106Hz)

E=1

To determine

(b)

On its high-power setting, a microwave oven produces900W of2560MHz microwaves. How many protons are required to increase the temperature of0.500kg mass of pasta by45C

To determine

(c)

On its high-power setting, a microwave oven produces900W of2560MHz microwaves.5.00×1028protons are required to increase the temperature of0.500kg mass of pasta by45C . How long must the microwave operator wait for their pasta to be ready?

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