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The ionisation enthalpy of hydrogen atom...

The ionisation enthalpy of hydrogen atom is `1.312 xx 10^6" J mol"^(-1)`. The energy required to excite the electron in the atom from n = 1 to n = 2 is

A

`7.56 xx 10^(5) J mol^(-1)`

B

`9.84 xx 10^(5) J mol^(-1)`

C

`8.51 xx 10^(5) J mol^(-1)`

D

`6.56 xx 10^(5) J mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`I.E. =E_(prop) - E_(1) = 0 - E_(1) = E_(1)`.
`:. E_(1) = - 1.312 xx 10^(6) J mol^(-1)`
`= (-1.312 xx 10^(6))/(I^(2)) J mol^(-1)`
`E_(2) = (-1.312 xx 10^(6))/(2^(2)) J mol^(-1)`
`:. E_(2)-E_(1) = - 1.312 xx 10^(6) ((1)/(2^(2))-(1)/(1^(2))) J mol^(-1)`
`= 1.312 xx 10^(6) xx (3)/(4) J mol^(-1)`
`= 9.84 xx 10^(5) J mol^(-1)`.
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