At noon on a clear day, sunlight reaches the earth's surface at Madison, Wisconsin, with an average intensity of approximately 1.00 kJ·s−1·m−2. If the sunlight consists of photons with an average wavelength of 510.0 nm, how many photons strike a 8.90 cm2 area per second?

Respuesta :

Answer:

2.282 × [tex]10^{18}[/tex]  photons strike

Explanation:

Given data

average intensity = 1.00 kJ·s−1·m−2

wavelength = 510.0 nm

area = 8.90 cm²

to find out

how many photons strike

solution

we know energy of 1 photon i.e

= hc/ wavelength = 6.626 × [tex]10^{-34}[/tex] × 3 [tex]10^{8}[/tex] / 510 [tex]10^{-9}[/tex]

energy of 1 photon = 3.9 × [tex]10^{-19}[/tex] J

so now we know no of joules hitting is 8.90 cm²/sec

i.e = 1.00 kJ × 8.90 cm²

= 1000 × 8.90 [tex]10^{-4}[/tex]

= 0.8900 J

so number of photon is

N = 0.8900 / 3.9 × [tex]10^{-19}[/tex]

N = 2.282 × [tex]10^{18}[/tex]

2.282 × [tex]10^{18}[/tex]  photons strike