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1 mol of photons each of frequency 250s^...

`1 mol` of photons each of frequency `250s^(-1)` would have approximately a total enegry of

A

`1 MeV`

B

`1 erg`

C

`1 J`

D

`1 eV`

Text Solution

Verified by Experts

The correct Answer is:
B
The enegry of one photon is given by
`E = hv`
Thus, the enegry of one mole of photons is obtained by multiplying the above relation by Avogadro's constant:
Total energy `= hVN_(0)`
`=(6.6xx10^(-34)Js)(250s^(-1))(6.02xx10^(-23)mol^(-1))`
`= 9933 xx 10^(-11)J`
`= 0.9933 xx 10^(-7)J`
`= 0.9933 erg (10^(-7)J = 1erg)`
`~~1 erg`
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Knowledge Check

  • 1 mole of photons, each of frequency 250 s^(-1) would have approximately a total energy of

    A
    1 erg
    B
    1 joule
    C
    1 eV
    D
    1 MeV

  • 1 mole of photon, each of frequency 2500 s^(-1) , would have approximately a total energy of

    A
    10 erg
    B
    1 Joule
    C
    1 eV
    D
    1 MeV

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

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    `199kJ mol^(-1)`
    B
    `174 kJ mol^(-1)`
    C
    `150 kJ mol^(-1)`
    D
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