The equipment used for aviation communications emits high-frequency radiowave energy with a wavelength of 0.700 km. What is the energy of exactly one photon of this radiowave radiation? E = What is the energy of one mole of this radiowave radiation? J/mol E =

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**Title: Energy Calculation of Radiowave Photons in Aviation Communications**

**Introduction:**

In the field of aviation communications, specialized equipment emits high-frequency radiowave energy. This exercise focuses on calculating the energy associated with radiowaves, which possess a wavelength of 0.700 km. 

**Problem Statements:**

1. **Photon Energy Calculation:**
   - Calculate the energy, \( E \), of precisely one photon of this radiowave radiation.
   - Equation: \( E = \) _________ J

2. **Mole Energy Calculation:**
   - Determine the energy, \( E \), contained in one mole of this radiowave radiation.
   - Equation: \( E = \) _________ J/mol

**Explanation:**

- The energy of a photon can be determined using the equation: 
  \[
  E = \frac{h \cdot c}{\lambda}
  \]
  where \( E \) is the energy in joules, \( h \) is Planck’s constant (\(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}\)), \( c \) is the speed of light (\(3.00 \times 10^8 \, \text{m/s}\)), and \( \lambda \) is the wavelength in meters.

- To find the energy per mole, multiply the energy of one photon by Avogadro’s number (\(6.022 \times 10^{23} \, \text{mol}^{-1}\)).

**Note:** Ensure that the wavelength is converted from kilometers to meters before performing the calculations.
Transcribed Image Text:**Title: Energy Calculation of Radiowave Photons in Aviation Communications** **Introduction:** In the field of aviation communications, specialized equipment emits high-frequency radiowave energy. This exercise focuses on calculating the energy associated with radiowaves, which possess a wavelength of 0.700 km. **Problem Statements:** 1. **Photon Energy Calculation:** - Calculate the energy, \( E \), of precisely one photon of this radiowave radiation. - Equation: \( E = \) _________ J 2. **Mole Energy Calculation:** - Determine the energy, \( E \), contained in one mole of this radiowave radiation. - Equation: \( E = \) _________ J/mol **Explanation:** - The energy of a photon can be determined using the equation: \[ E = \frac{h \cdot c}{\lambda} \] where \( E \) is the energy in joules, \( h \) is Planck’s constant (\(6.626 \times 10^{-34} \, \text{J} \cdot \text{s}\)), \( c \) is the speed of light (\(3.00 \times 10^8 \, \text{m/s}\)), and \( \lambda \) is the wavelength in meters. - To find the energy per mole, multiply the energy of one photon by Avogadro’s number (\(6.022 \times 10^{23} \, \text{mol}^{-1}\)). **Note:** Ensure that the wavelength is converted from kilometers to meters before performing the calculations.
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