Determine the shortest frequency of light required to remove an electron from a sample of Ti metal if the binding energy of titanium is 3.14 × 10³ kJ mol^-1. A) 7.87 × 10¹⁵ Hz B) 4.74 × 10¹⁵ Hz C) 2.11 × 10¹⁵ Hz D) 1.27 × 10¹⁵ Hz E) 6.19 × 10¹⁵ Hz

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Quizplus · Accepted Answer

The energy required to remove an electron is given by E = hν, where h is Planck's constant (6.626 × 10^-34 J·s). First, convert the binding energy from kJ/mol to J/atom: (3.14 × 10^3 kJ/mol) × (10^3 J/kJ) / (6.022 × 10^23 mol^-1) = 5.21 × 10^-19 J. Then, solve for frequency: ν = E/h = (5.21 × 10^-19 J) / (6.626 × 10^-34 J·s) = 7.87 × 10^15 Hz.

Determine the Shortest Frequency of Light Required to Remove an Electron