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energy of one mol of photons whose frequ...

energy of one mol of photons whose frequency is `5xx10^(14)Hz` is approximately equal to :

A

`199kJ mol^(-1)`

B

`174 kJ mol^(-1)`

C

`150 kJ mol^(-1)`

D

`300 kJ mol^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A

energy of one mol of photons …………
Energy (E ) of one photon is given by the expression
`E = hv`
`h =6.626xx10^(-34)Js`
`v = 5xx10^(14)s^(-1)` (given)
`E = (6.62xx10^(-34)Js)xx(5xx10^(14)s^(-1))`
`= 3.31xx10^(-19)J`
Energy of one mole of photons
`= (3.31xx10^(-19)J)xx(6.02xx10^(23)mol^(-1))`
`= 199.2kJ mol^(-1)`
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