Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
The energy of a single photon is 2.441 × 10⁻²⁰ J. What is the energy of one mole of these photons, in kilojoules?
A
2.441 kJ
B
2441 kJ
C
24.41 kJ
D
147 kJ
Verified step by step guidance
1
Understand that the energy of a single photon is given as 2.441 × 10⁻²⁰ J. To find the energy of one mole of photons, we need to multiply this energy by Avogadro's number, which is approximately 6.022 × 10²³ mol⁻¹.
Set up the calculation to find the total energy for one mole of photons: \( E_{mole} = E_{photon} \times N_A \), where \( E_{photon} = 2.441 \times 10^{-20} \) J and \( N_A = 6.022 \times 10^{23} \) mol⁻¹.
Perform the multiplication: \( E_{mole} = 2.441 \times 10^{-20} \times 6.022 \times 10^{23} \). This will give you the energy in joules for one mole of photons.
Convert the energy from joules to kilojoules by dividing the result by 1000, since 1 kJ = 1000 J.
Compare the calculated energy in kilojoules to the given options (2.441 kJ, 2441 kJ, 24.41 kJ, 147 kJ) to identify the correct answer.