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Multiple Choice
What total energy (in kJ) is contained in 1.0 mol of photons, all with a frequency of 2.75 × 10^14 Hz?
A
1100 kJ
B
11000 kJ
C
110 kJ
D
110 kJ/mol
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Verified step by step guidance
1
Step 1: Understand that the energy of a single photon can be calculated using the formula E = hν, where E is the energy, h is Planck's constant (6.626 × 10^-34 J·s), and ν is the frequency of the photon.
Step 2: Substitute the given frequency (ν = 2.75 × 10^14 Hz) into the formula to calculate the energy of one photon: E = (6.626 × 10^-34 J·s) × (2.75 × 10^14 Hz).
Step 3: Calculate the energy of one photon in joules. This will give you the energy contained in a single photon with the given frequency.
Step 4: Convert the energy of one photon from joules to kilojoules by dividing by 1000, since 1 kJ = 1000 J.
Step 5: Multiply the energy of one photon (in kJ) by Avogadro's number (6.022 × 10^23 mol^-1) to find the total energy contained in 1.0 mol of photons. This will give you the total energy in kJ/mol.