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Solved: How many photons at 660 nm must be absorbed to
Chapter 7, Problem 7.129(choose chapter or problem)
How many photons at 660 nm must be absorbed to melt \(5.0 \times 10^{2} \mathrm{~g}\) of ice? On average, how many \(\mathrm{H}_{2} \mathrm{O}\) molecules does one photon convert from ice to water? (Hint: It takes 334 J to melt 1 g of ice at \(0^{\circ} \mathrm{C}\).)
Questions & Answers
QUESTION:
How many photons at 660 nm must be absorbed to melt \(5.0 \times 10^{2} \mathrm{~g}\) of ice? On average, how many \(\mathrm{H}_{2} \mathrm{O}\) molecules does one photon convert from ice to water? (Hint: It takes 334 J to melt 1 g of ice at \(0^{\circ} \mathrm{C}\).)
ANSWER:Step 1 of 3
Wavelength is given as, \(\lambda = 660\;{\rm{nm}} = 660 \times {10^{ - 9}}\;{\rm{m}}\).
Mass of ice is \(m = 5.0 \times {10^2}\;{\rm{g}}\).
To melt 1 g of ice, the amount of energy required is 334 J. Then we calculate the total energy can be calculated as,
\(E = 5.0 \times {10^2} \times 335\)
\(E = 167000\;{\rm{J}}\)