**Physics Problem: Photon Absorption by a Liquid**A liquid is exposed to infrared radiation with a wavelength of \(9.51 \times 10^{-4}\) cm. Assume that all the radiation is absorbed and converted to heat. How many photons are required for the liquid to absorb 40.32 J of heat?**Number of photons =** [Input box for calculation]**Explanation:**To solve this problem, we need to calculate the energy of a single photon and then determine how many photons are required to reach the total energy of 40.32 J.1. **Energy of a Photon**: The energy \(E\) of a single photon can be calculated using the formula: \[ E = \frac{hc}{\lambda} \] where: - \(h\) is Planck's constant \(6.63 \times 10^{-34} \text{ Js}\), - \(c\) is the speed of light \(3.00 \times 10^{10} \text{ cm/s}\), - \(\lambda\) is the wavelength \(9.51 \times 10^{-4} \text{ cm}\).2. **Total Photons Required**: Once the energy per photon is known, divide the total energy required by the energy of one photon: \[ \text{Number of photons} = \frac{\text{Total energy required (J)}}{\text{Energy of one photon (J)}} \]This calculation will provide the number of photons needed for the liquid to absorb the given amount of heat.

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Chemistry

number of photons

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.

Question

**Physics Problem: Photon Absorption by a Liquid**

A liquid is exposed to infrared radiation with a wavelength of \(9.51 \times 10^{-4}\) cm. Assume that all the radiation is absorbed and converted to heat. How many photons are required for the liquid to absorb 40.32 J of heat?

**Number of photons =** [Input box for calculation]

**Explanation:**

To solve this problem, we need to calculate the energy of a single photon and then determine how many photons are required to reach the total energy of 40.32 J.

1. **Energy of a Photon**:
The energy \(E\) of a single photon can be calculated using the formula:
\[
E = \frac{hc}{\lambda}
\]
where:
- \(h\) is Planck's constant \(6.63 \times 10^{-34} \text{ Js}\),
- \(c\) is the speed of light \(3.00 \times 10^{10} \text{ cm/s}\),
- \(\lambda\) is the wavelength \(9.51 \times 10^{-4} \text{ cm}\).

2. **Total Photons Required**:
Once the energy per photon is known, divide the total energy required by the energy of one photon:
\[
\text{Number of photons} = \frac{\text{Total energy required (J)}}{\text{Energy of one photon (J)}}
\]

This calculation will provide the number of photons needed for the liquid to absorb the given amount of heat.

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