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How many moles of photon would contain s...

How many moles of photon would contain sufficient energy to raise the temperature of 225 g of water `21^(@)C` to `96^(@)C`? Specific heat of water is `4.18Jg^(-1)K^(-1)` and frequency of light radiation used is `2.45xx10^(9)s^(-1)`.

Text Solution

Verified by Experts

Energy associated with one mole of photons
`=N_(0)xxhxxv`
`=6.02xx10^(23)xx6.626xx10^(-34)xx2.45xx10^(9)`
`=97.727xx10^(-2)Jmol^(-1)`.
Energy required to raise the temperature of 225 g of water by
`75^(@)C=mxxsxxt=225xx4.18xx75=70537.5J`
Hence, number of moles of photons required
`=(mst)/(N_(0)hv)=(70537.5)/(97.727xx10^(-2))=7.22xx10^(-4)`mol
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