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The energy required to break one mole of Cl - Cl bonds in Cl2 is 242 kJ mol-1. The longest wavelength of light capable of breaking a single Cl - Cl bond is(c = 3 x 108 ms-1 and NA = 6.02 x 1023 mol-1) [AIEEE 2010]
- a)594 nm
- b)640 nm
- c)700 nm
- d)494 nm
Correct answer is option 'D'. Can you explain this answer?
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The energy required to break one mole of Cl - Cl bonds in Cl2 is 242 k...
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Given: Energy required to break one mole of Cl-Cl bonds in Cl2 = 242 kJ mol-1
We need to find the longest wavelength of light capable of breaking a single Cl-Cl bond.
To solve this problem, we can use the following equation:
E = hc/λ
Where E is the energy of a photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of light.
We know that the energy required to break one mole of Cl-Cl bonds is 242 kJ mol-1. We can convert this to energy per bond by dividing by Avogadro's number:
Energy per bond = 242 kJ mol-1 / (6.02 x 10^23 mol-1) = 4.02 x 10^-19 J
Now, we can use this energy per bond in the equation above to find the longest wavelength of light capable of breaking a single bond:
4.02 x 10^-19 J = (6.626 x 10^-34 J s)(3 x 10^8 m/s) / λ
Solving for λ, we get:
λ = (6.626 x 10^-34 J s)(3 x 10^8 m/s) / 4.02 x 10^-19 J
λ = 4.94 x 10^-7 m
Converting this to nanometers, we get:
λ = 494 nm
Therefore, the longest wavelength of light capable of breaking a single Cl-Cl bond is 494 nm, which is option D.
We need to find the longest wavelength of light capable of breaking a single Cl-Cl bond.
To solve this problem, we can use the following equation:
E = hc/λ
Where E is the energy of a photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of light.
We know that the energy required to break one mole of Cl-Cl bonds is 242 kJ mol-1. We can convert this to energy per bond by dividing by Avogadro's number:
Energy per bond = 242 kJ mol-1 / (6.02 x 10^23 mol-1) = 4.02 x 10^-19 J
Now, we can use this energy per bond in the equation above to find the longest wavelength of light capable of breaking a single bond:
4.02 x 10^-19 J = (6.626 x 10^-34 J s)(3 x 10^8 m/s) / λ
Solving for λ, we get:
λ = (6.626 x 10^-34 J s)(3 x 10^8 m/s) / 4.02 x 10^-19 J
λ = 4.94 x 10^-7 m
Converting this to nanometers, we get:
λ = 494 nm
Therefore, the longest wavelength of light capable of breaking a single Cl-Cl bond is 494 nm, which is option D.
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The energy required to break one mole of Cl - Cl bonds in Cl2 is 242 kJ mol-1. The longest wavelength of light capable of breaking a single Cl - Cl bond is(c = 3 x 108ms-1and NA = 6.02 x 1023mol-1) [AIEEE 2010]a)594 nmb)640 nmc)700 nmd)494 nmCorrect answer is option 'D'. Can you explain this answer?
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