Question

Leaves contain an array of different light-absorbing molecules to harvest the full spectrum of visible light. Some of these include β-carotene (the compound that makes carrots orange), which absorbs at λ = 450 nm and 470 nm.

How much energy do individual photons of 450 nm light have?

How much energy do individual photons of 470 nm light have?

Answer 1

(A):

1) Convert nm to m:

450.0 nm = 450.0 x 10¯⁹ m = 4.5 x 10¯⁷ m

2) Determine the frequency:

λν = c

(4.5 x 10¯⁷ m) (x) = 3.00 x 10⁸ m/s

x = 6.67 x 10¹⁴ s¯¹

3) Determine the energy:

E = hν:

x = (6.626 x 10¯³⁴ J s) (6.67 x 10¹⁴ s¯¹)

x = 4.42 x 10¯¹⁹ J

The energy of individual photons of 450 nm light have = 4.42 x 10¯¹⁹ J

(B):

1) Convert nm to m:

470.0 nm = 470.0 x 10¯⁹ m = 4.7 x 10¯⁷ m

2) Determine the frequency:

λν = c

(4.7 x 10¯⁷ m) (x) = 3.00 x 10⁸ m/s

x = 6.38 x 10¹⁴ s¯¹

3) Determine the energy:

E = hν:

x = (6.626 x 10¯³⁴ J s) (6.38 x 10¹⁴ s¯¹)

x = 4.23 x 10¯¹⁹ J

The energy of individual photons of 450 nm light have = 4.23 x 10¯¹⁹ J

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