What is the energy of a mole of photons with a frequency of 9.1 * 10¹⁵ Hz? A) 3.6 * 10^-5J/mol B) 3.6 * 10⁶J/mol C) 2.8 * 10^-7J/mol D) 2.8 * 10⁷J/mol E) 7.0 * 10⁶J/mol

Question

Quizplus · Accepted Answer

The energy of a photon is given by E = hf, where h is Planck's constant (6.626 x 10^-34 J s) and f is the frequency. Therefore, the energy of a mole of photons is given by E = Nhf, where N is Avogadro's number (6.022 x 10^23 mol^-1). Plugging in the values, we get:

E = (6.022 x 10^23 mol^-1)(6.626 x 10^-34 J s)(9.1 x 10^15 Hz)
E = 3.58 x 10^-18 J/mol

Rounding to the correct number of significant figures, we get:

E = 3.6 x 10^-18 J/mol

Therefore, the answer is B.

What Is the Energy of a Mole of Photons with a Frequency