Question

A carbon-oxygen bond in a certain organic molecule absorbs radiation that has a frequency of 5.23 x 10^13 s^-1.

(A) What is the wavelength (in m) of this radiation?

(B) To what region of the spectrum does this radiation belong?

Options include: Radiowave, microwave, infrared, visible, ultraviolet, X-ray, and gamma ray

(C) What is the energy (in J) of this radiation per photon? Per mole of photons?

(D) A carbon-oxygen bond in a different molecule absorbs radiation with frequency equal to 5.16 x 10^13 s^-1. Is this radiation more or less energetic or the same?

Answer 1

(A)

(B) This radiation comes in the Infrared region of the electromagnetic spectrum.

(C)

(D) From the Einstein's equation i.e., E=hv, we know that energy is directly proportional to frequency of a radiation. So, as 5.23*10¹³ s^-1 is greater frequency than 5.16*10¹³ s^-1​​​​​-1 then the energy related to 5.23 *10¹³ s^-1 will be more than the energy related to frequency 5.16*10¹³ s^-1.