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Multiple Choice
What is the total energy (in kJ) of 1.0 mol of photons with a frequency of 2.75 × 10^14 Hz?
A
219 kJ
B
182 kJ
C
326 kJ
D
110 kJ
Verified step by step guidance
1
Identify the formula to calculate the energy of a single photon: E = h * ν, where E is the energy, h is Planck's constant (6.626 × 10^-34 J·s), and ν is the frequency of the photon.
Substitute the given frequency (ν = 2.75 × 10^14 Hz) into the formula to find the energy of one photon: E = (6.626 × 10^-34 J·s) * (2.75 × 10^14 Hz).
Calculate the energy of one photon in joules using the substituted values.
Convert the energy of one photon from joules to kilojoules by dividing by 1,000, since 1 kJ = 1,000 J.
Multiply the energy of one photon (in kJ) by Avogadro's number (6.022 × 10^23 mol^-1) to find the total energy of 1.0 mol of photons.