Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

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

a) $5.30 \times 10^{26}$ photon/sb) $5.00 \times 10^{28}$c) 94.2 $\mathrm{s}$

Physics 103

Chapter 29

Introduction to Quantum Physics

Quantum Physics

Cornell University

University of Sheffield

University of Winnipeg

Lectures

02:51

In physics, wave optics is…

10:02

Interference is a phenomen…

05:15

On its high power setting,…

08:06

A 900-W microwave generato…

0:00

Microwave ovens use microw…

02:09

Integrated ConceptsA c…

03:00

Integrated Concepts(a)…

02:54

A microwave oven uses elec…

05:37

A certain microwave oven d…

05:28

A certain heat lamp emits …

On its highest power setti…

02:24

Microwave ovens work by ir…

01:14

A microwave oven can heat …

03:06

(a) Calculate the amount o…

07:30

Integrated ConceptsA l…

03:24

A microwave oven is used t…

02:47

04:27

A certain microwave oven c…

01:31

A microwave oven produces …

03:05

A dish of lasagna is being…

05:17

(a) How much heat transfer…

05:13

A 200-W heater emits a 1.…

and the problem. We're given that a microwave operates at 900 watts, which is our power again. Watts has a unit of jewels per second, which we helpful later. We're also told that it produces the away flings at a frequency of 2560 mega hurts, which is our frequency and mega. We can comfort that to, um hurts leader and part ay asks for how many photons per second is this? So if we are given the power and frequency than we can use our frequency to sulfur the amount of energy that's being produced so we can calculate this with planks constant 6.63 times 10 to the negative, 34 Jules time seconds and a frequency of 2.56 times 10 to the ninth hurts will give us an energy of 1.7 times 10 to the negative 24 jewels. Again, this is how much energy is being produced based on this frequency. So power is equal to energy divided by time, and this energy is the energy of our photons. So if we get our power and divided by energy, then we'll have the number of photons divided by time. So our power we said early, was 900 jewels per second, and we just calculated that our energies 1.7 times 10 to the negative 24 Jules gets us a photons per second of a 5.3 times 10 to the 26 so buttery photons for a second. And then part B asks us to determine. So it's pretty, probie asks this. Determine how many photons are required to increase the temperature of a mass of pasta by 45 degrees Celsius, assuming a specific heat. So for that we could use Hugh equals. Mm. See a Delta T where Q is heat Emma's Mass See a specific heat, which is dependent on the material and delta T is your change in temperature Now our energy or heat will be the number of photons times your energy, so each photon will have this amount of energy, which is the same amount that we calculate earlier. So our heat, which is M. C del city, will be equal to our energy times, our number of photons, so we can actually just use this portion of the equation to solve for and so that gives us em. See, Delta t divided by e were given our mass and kilograms, so that's okay. Is there a 0.5 were given our specific it heat in 0.9 kilo calories per kilogram degrees Celsius. And that's okay because their specific heat, um, can be in those units. So 0.9 he look how and we could make a conversion leader necessary and then 0.9. And then it is telling us that we're changing our changing our temperature by 45 degrees. So that is already are a Delta team again in degree Celsius and that our energy is in one point 697 that we calculated earlier just using the whole number in our calculator times 10 to the negative 24. And again, this is Jules per broton. So that gives us an end value, which is again the number of photons required to increase the temperature as five went zero times Tend toothy 28 Again, this is the number of photons. A. We don't have units for that. And then part see asks us how long Muzzle microwave operator wait for the pasta to be ready again. We have the number of photons required. We have the amount of energy and we have our power. We could go back and solve for our time, the actual amount of time. So, like I said, we solved for our number of photons. We have our power rating. We have our energy and we can use that to solve for tea. So that gives us power equals energy over time and again. Power divided by energy gives us a number of photons divided by tea. And we want to sell for time. So number of photons, times e divided by P gives us our time. And so we can use the numbers. And we previously calculated so five times 10 to the 28th gives us the number of photons we calculate. Earlier, 1.697 times 10 to the negative. 24 jewels was our energy. And our power rating was 900 jewels per second, giving us a time interval off about 94.2 seconds

View More Answers From This Book

Find Another Textbook

Numerade Educator

In physics, wave optics is the study of the behavior of light, or other elec…

Interference is a phenomenon in which two waves superpose to form a resultan…

On its high power setting, a microwave oven produces $900 \mathrm{W}$ of $25…

A 900-W microwave generator in an oven generates energy quanta of frequency …

Microwave ovens use microwave radiation to heat food. The energy of the micr…

Integrated ConceptsA certain heat lamp emits 200 $\mathrm{W}$ of mostly …

Integrated Concepts(a) Calculate the amount of microwave energy in joule…

A microwave oven uses electromagnetic radiation at $2.4 \mathrm{GHz}$.(a…

A certain microwave oven delivers 750 . watts $(\mathrm{J} / \mathrm{s})$ of…

A certain heat lamp emits 200 W of mostly IR radiation averaging $1500 \math…

On its highest power setting, a microwave oven increases the temperature of …

Microwave ovens work by irradiating food with microwave radiation, which is …

A microwave oven can heat 350 g of water from $25.0^{\circ} \mathrm{C}$ to $…

(a) Calculate the amount of microwave energy in joules needed to raise the t…

Integrated ConceptsA laser with a power output of 2.00 mW at a wavelengt…

A microwave oven is used to heat 250 g of water. On its maximum setting, the…

A microwave oven is used to heat 250 $\mathrm{g}$ of water. On itsmaximu…

A certain microwave oven contains a magnetron that has an output of 700 $\ma…

A microwave oven produces electromagnetic radiation at$\lambda=12.2 \mat…

A dish of lasagna is being heated in a microwave oven. The effective area of…

(a) How much heat transfer is required to raise the temperature of a 0.750 -…

A 200-W heater emits a 1.5-\mum radiation. (a) What value of the energy qua…

01:18

A film of soapy water ( n = 1.33 ) on top of a plastic cutting board has a t…

02:41

Figure 27.34 shows two glass slides illuminated by pure- wavelength light in…

00:54

What is Brewster’s angle for light traveling in water that is reflected from…

01:24

If $\theta_{{b}}$ is Brewster's angle for light reflected from the top …

01:35

Integrated ConceptsThe 54.0 -eV electron in Example 29.7 has a 0.167 -nm…

01:09

Prove that, if $I$ is the intensity of light transmitted by two polarizing f…

00:32

At what angle will light reflected from diamond be completely polarized?

03:27

Integrated ConceptsOne problem with x rays is that they are not sensed. …

(a) If the position of a chlorine ion in a membrane is measured to an accura…

01:33

(a) Calculate the velocity of an electron that has a wavelength of 1.00$\mu …