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The energy of the second Bohr orbit of the hydrogen atom is -328 kJ mol-1; hence the energy of the fourth Bohr orbit would be: [2005]
  • a)
    -41 kJ mol-1
  • b)
    -82 kJ mol-1
  • c)
    -164 kJ mol-1
  • d)
    -1312 kJ mol-1
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The energy of the second Bohr orbit of the hydrogen atom is -328 kJ mo...
Explanation:

The energy of an electron in the nth orbit of a hydrogen atom is given by the formula:

E = -13.6/n^2 eV

Where E is the energy in electron volts and n is the principal quantum number.

To convert the energy from electron volts to kilojoules per mole, we can use the conversion factor:

1 eV = 96.485 kJ/mol

Step 1:
First, let's convert the given energy of the second Bohr orbit from kJ/mol to eV.

-328 kJ/mol * (1 eV / 96.485 kJ/mol) = -3.396 eV

Step 2:
Now, we can use the formula above to find the energy of the fourth Bohr orbit.

E = -13.6/n^2 eV

E = -13.6/4^2 eV

E = -13.6/16 eV

E = -0.85 eV

Step 3:
Finally, let's convert the energy of the fourth Bohr orbit from eV to kJ/mol.

-0.85 eV * (96.485 kJ/mol / 1 eV) = -82.12 kJ/mol

Therefore, the energy of the fourth Bohr orbit of the hydrogen atom is approximately -82 kJ/mol, which corresponds to option B.
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The energy of the second Bohr orbit of the hydrogen atom is -328 kJ mo...
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 –82 kJmol–1
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The energy of the second Bohr orbit of the hydrogen atom is -328 kJ mol-1; hence the energy of the fourth Bohr orbit would be: [2005]a)-41 kJ mol-1b)-82 kJ mol-1c)-164 kJ mol-1d)-1312 kJ mol-1Correct answer is option 'B'. Can you explain this answer?
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