At noon on a clear day, sunlight reaches the earth/'s surface at Madison, Wisconsin, with an average power of approximately 8.00 kJ·s-1·m-2. If the sunlight consists of photons with an average wavelength of 510.0 nm, how many photons strike a 3.90 cm2 area per second?

Question

Chemistry

Baron Nash

2 March, 04:13

At noon on a clear day, sunlight reaches the earth/'s surface at Madison, Wisconsin, with an average power of approximately 8.00 kJ·s-1·m-2. If the sunlight consists of photons with an average wavelength of 510.0 nm, how many photons strike a 3.90 cm2 area per second?

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Answers (1)

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Ellie Blevins · Answer 1

Energy transferred per second in given area:

8000 x 3.9 / 10000

Energy transferred = 3.12 J

Using Planck's equation:

E = nhc/λ

n = (3.12 x 510 x 10⁻⁹) / (3 x 10⁸ x 6.63 x 10⁻³⁴)

n = 8 x 10¹⁸ photons