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Structure Of Atom

Question
CBSEENCH11005258

Calcualte the energy of one mole of photons of radiation whose frequency is 5 x 1014Hz.

Solution

Energy (E) of one photon = hv
Here,    h = 6.626 x  10-34 Js
            v = 5 x 1014 s-1
therefore space space straight E space equals space left parenthesis 6.626 space cross times space 10 to the power of negative 34 end exponent Js right parenthesis cross times left parenthesis 5 cross times 10 to the power of 14 straight s to the power of negative 1 end exponent right parenthesis
space space space equals space 3.313 space cross times 10 to the power of negative 19 end exponent straight J
therefore space space Energy space of space one space mole space of space photons
space space space space space space equals space left parenthesis 3.313 space cross times space 10 to the power of negative 19 end exponent straight J right parenthesis space cross times left parenthesis 6.022 space cross times space 10 to the power of 23 space mol to the power of negative 1 end exponent right parenthesis
space space space space space space space equals 199.51 space kJ space mol to the power of negative 1 end exponent