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Question

Select the incorrect statements for shifting all the electrons from first Bohr orbit to the sixth Bohr orbit in 1 mole of hydrogen:

A
Energy required in the above process is 21.12×1019 J atom1
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B
The distance that an electron have to cover would be 18.5 oA
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C
Energy required in the above process per mole is 6.48×104 cal
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D
Energy required in the above process per mole is 12.67×105 J mol1
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Solution

The correct option is C Energy required in the above process per mole is 6.48×104 cal
The energy required to shift electrons from first Bohr orbit to sixth Bohr orbit in hydrogen atom Z=1 can be calculated by using the relation,
ΔE=13.6(1n211n22)
Substituting the values, we get
ΔE=13.6(112162) eV
ΔE=13.6×3536 eV
=13.2×1.6×1019 J atom1 =21.12×1019 J atom1
ΔE/mol=21.12×1019×6×1023 =12.67×105 J mol1

The distance that each electron have to cover in this transition would be =Δr=r6r1
where,
r6=Radius of 6th orbit
r1=Radius of 1st orbit
Δr=0.529(6212) oA=(0.529×35) oA=18.515 oA

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