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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(1n21−1n22) Substituting the values, we get ΔE=13.6(112−162) eV ΔE=13.6×3536 eV =13.2×1.6×10−19 J atom−1 =21.12×10−19 J atom−1 ∴ΔE/mol=21.12×10−19×6×1023 =12.67×105 J mol−1 The distance that each electron have to cover in this transition would be =Δr=r6−r1 where, r6=Radius of 6th orbit r1=Radius of 1st orbit ∴Δr=0.529(62−12) oA=(0.529×35) oA=18.515 oA

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