How can I calculate the number of photons with this data?

[HazyMan]

The problem says: A radio station emits electromagnetic wave with a frequency of 100MHz (10²*10⁶ Hz).
a)What's the energy of this radiation's/glow's photon? (Solved, i found 6,63*10^-26 J)
b)Compare your calculation with the energy of another visible radiation/glow, with a wavelength of 600nm (6*10²*10^-9 m). (Solved as well, found 3,315*10^-19 J)
c) and the part that BUGS me, FIND THE NUMBER OF PROTONS EMITTED IN 1 SECOND, IF THE RADIATED/GLOWED POWER IS 6,63kW (6,63*10³ W)

The problem with this question is that i came up with this formula: N=t(h*f/P) where N is the number of the photons and P the power. Using this i came up with 10^-37 which confuses me, because my teacher had used a different way and found 10²⁹. He took the E=pt formula and turned it into E=N*Ep (Ep is the photon energy that was calculated in question a) and then he created a N=E/Ep [or N=(P*t/Ep)] where he got HIS result from. Can anyone help me? I'm confused.
OTHER EQUATIONS USED: Ep=hf, f2=Co/λο (where f2 is the freq. of the other radiation/glow from question b), Ep2=hf2 (where Ep2 is the photon energy of the other radiation/glow from question b).

 

[DrClaude]

The problem with this question is that i came up with this formula: N=t(h*f/P) where N is the number of the photons and P the power.

Does this formula make sense? The higher the power, the fewer the number of photons you get.

 

[HazyMan]

Does this formula make sense? The higher the power, the fewer the number of photons you get.

Well I'm not sure. From a video that I've seen someone mentioned this formula: P=(N*h*f/t) so by replacing the symbols with numbers, i concluded to the N=t(h*f/P) formula.

 

[DrClaude]

Well I'm not sure. From a video that I've seen someone mentioned this formula: P=(N*h*f/t) so by replacing the symbols with numbers, i concluded to the N=t(h*f/P) formula.

The formula is correct: P=(N*h*f/t). hf is the energy of 1 photon, to multiplying by N gives you the total energy, dividing by time gives you the power.

The problem is that you have not rearranged the terms correctly.

 

[HazyMan]

The formula is correct: P=(N*h*f/t). hf is the energy of 1 photon, to multiplying by N gives you the total energy, dividing by time gives you the power.

The problem is that you have not rearranged the terms correctly.

Oh my, well i should try again.

 

[HazyMan]

The formula is correct: P=(N*h*f/t). hf is the energy of 1 photon, to multiplying by N gives you the total energy, dividing by time gives you the power.

The problem is that you have not rearranged the terms correctly.

Is P=(N*h*f/t) equal to P=N(h*f/t) ?

 

[HazyMan]

Alright, i managed to get the same result my teacher did by using a different method. I used the formula: N=P/(hf/t)

In LaTeX: $$N=P/(hf/t)$$

 

[DrClaude]

Alright, i managed to get the same result my teacher did by using a different method. I used the formula: N=P/(hf/t)

In LaTeX: $$N=P/(hf/t)$$

That's the correct equation.