##1.24 * 10^(15)”Hz”##
Your strategy here will be to
use Avogadro’s number to find the energy needed to ionize one atom of sodium
use the Planck – Einstein equation to find the frequency of light that corresponds to that specific energy
So, you know that the energy needed to ionize sodium is equal to ##”496 kJ/mol”##. As you know, one mole of any element contains exactly ##6.022 * 10^(23)## atoms of that element – this is known as Avogadro’s number.
In your case, the energy needed to ionize one atom of sodium will be equal to
##496 color(red)(cancel(color(black)(“kJ”)))/color(red)(cancel(color(black)(“mol”))) * (10^3 “J”)/(1 color(red)(cancel(color(black)(“kJ”)))) * (1color(red)(cancel(color(black)(“mol”))))/(6.022 * 10^(23)”atoms”) = 8.236 * 10^(-19)”J/atom”##
The relationship that exists between energy and frequency is described by the Planck – Einstein equation
##color(blue)(E = h * nu)” “##, where
##E## – the energy of the wave
##h## – , equal to ##6.626 * 10^(-34)”J s”##
##nu## – the frequency of the wave
Plug in your values and solve for ##nu##, the frequency of light needed to ionize a sodium atom
##E = h * nu implies nu = E/h##
##nu = (8.236 * 10^(-19) color(red)(cancel(color(black)(“J”))))/(6.626 * 10^(-34)color(red)(cancel(color(black)(“J”))) “s”) = 1.243 * 10^15″s”^(-1)##
Since you have
##”1 Hz” = “1 s”^(-1)##
you can say that the answer will be
##nu = color(green)(1.24 * 10^(15)”Hz”) ->## rounded to three
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.