I did a chem lab and now im not sure if im doing my calculations right .. Please help?
So i have to find out what ƒÉ will equal when i use the equation ƒÉ=d*(a/�ãa^2+b^2)
in my experiment i found out that a equals 108 cm, d and b were given to me .. so d=1.33*10^-6 m and b=2.0000 m
I plug the numbers in but they just don't seem right because im being asked for ă in cm then convert that number to nm find out frequence (s^-1) and energy (J/atom) but i think i might know how to do that .. i have eight more trials to go but this step is really holding be back , Please help me with just this exaple .. please help !
Of course, I can assist you with this chemistry problem. Let's break it down step by step.
The equation you are using is ƒÉ = d*(a/�ãa^2+b^2), and you have the following values:
a = 108 cm
d = 1.33*10^-6 m
b = 2.0000 m
First, let's convert all the values to the same unit:
Convert a from cm to m: Since 1 m = 100 cm, divide a by 100 to get a in meters.
a = 108 cm / 100 = 1.08 m
Now let's plug in the values into the equation:
ă = (1.33*10^-6 m)*(1.08 m / (1.08 m^2 + 2.0000 m^2))
Next, let's simplify the expression inside the parentheses:
ă = (1.33*10^-6 m)*(1.08 m / (1.1664 m^2 + 4.0000 m^2))
ă = (1.33*10^-6 m)*(1.08 m / 5.1664 m^2)
Now, let's calculate the value of ă in meters:
ă = 1.33*10^-6 m * (1.08 m / 5.1664 m^2)
ă = 1.415*10^-7 m
To convert this value to centimeters, multiply by 100:
ă = 1.415*10^-7 m * 100 = 1.415*10^-5 cm
Lastly, let's convert ă to nm (nanometers):
1 nm = 10^-7 cm, so divide 1.415*10^-5 cm by 10^-7 to get the value in nm:
ă = 1.415*10^-5 nm / 10^-7 nm = 141.5 nm
Now you have the value of ƒÉ in nm. You mentioned that you need to find the frequency (s^-1) and energy (J/atom). To find the frequency, you can use the equation ƒ = c/λ, where c is the speed of light and λ is the wavelength in meters. Given that c is approximately 3.00*10^8 m/s, you can calculate the frequency of ƒÉ.
To find the energy (J/atom), you need to provide the number of atoms involved in the calculation. If you have this information, you can use the equation E = h*ƒ, where E is the energy in Joules, h is the Planck's constant (approximately 6.63*10^-34 J·s), and ƒ is the frequency in Hz.
I hope this helps! Let me know if you have any further questions.