tlon 3 o1 24 The blue line of the hydrogen emission spectrum has a wavenumber of 23050 cm -1 Calculate the energy of one photon of the blue light. energy of one photon = J Calculate the energy for one mole of photons of the blue light. energy for one mole of photons = kJ/mol

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Chapter1: Chemical Foundations
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**Hydrogen Emission Spectrum Analysis**

The blue line of the hydrogen emission spectrum has a wavenumber of \( 23050 \, \text{cm}^{-1} \).

**Diagram Explanation:**
The image shows a segment of the hydrogen emission spectrum containing several colored lines against a black background. Each line represents a distinct wavelength of light emitted by hydrogen. Notably, one line is blue, which is the focus for this calculation.

**Calculations:**

1. **Calculate the Energy of One Photon of the Blue Light:**

   \[
   \text{energy of one photon} = \underline{\hspace{3cm}} \, \text{J}
   \]

2. **Calculate the Energy for One Mole of Photons of the Blue Light:**

   \[
   \text{energy for one mole of photons} = \underline{\hspace{3cm}} \, \text{kJ/mol}
   \] 

These calculations require the use of the formula \( E = h \cdot c \cdot \tilde{\nu} \), where \( E \) is the energy, \( h \) is Planck's constant, \( c \) is the speed of light, and \( \tilde{\nu} \) is the wavenumber.
Transcribed Image Text:**Hydrogen Emission Spectrum Analysis** The blue line of the hydrogen emission spectrum has a wavenumber of \( 23050 \, \text{cm}^{-1} \). **Diagram Explanation:** The image shows a segment of the hydrogen emission spectrum containing several colored lines against a black background. Each line represents a distinct wavelength of light emitted by hydrogen. Notably, one line is blue, which is the focus for this calculation. **Calculations:** 1. **Calculate the Energy of One Photon of the Blue Light:** \[ \text{energy of one photon} = \underline{\hspace{3cm}} \, \text{J} \] 2. **Calculate the Energy for One Mole of Photons of the Blue Light:** \[ \text{energy for one mole of photons} = \underline{\hspace{3cm}} \, \text{kJ/mol} \] These calculations require the use of the formula \( E = h \cdot c \cdot \tilde{\nu} \), where \( E \) is the energy, \( h \) is Planck's constant, \( c \) is the speed of light, and \( \tilde{\nu} \) is the wavenumber.
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