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White phosphorus is a tetra-atomic solid P4(s) at room temperature. Calculate the P-P bond enthalpy in kJ/mol. Given: enthalpy of sublimation of P4(s) = 61 kJ/mol; enthalpy of atomization of P4(s) = 1321 kJ/mol. Report the answer as the repeated digit-sum (sum of digits, then sum those digits, continuing until a single digit remains).
- 1
- 2
- 3
- 6
Correct answer: 3
Solution
The energy to atomize P4 from solid involves sublimation (solid->gas P4) plus breaking all 6 P-P bonds. Bond enthalpy = (1321 - 61)/6 = 210 kJ/mol. Digit sum: 2+1+0 = 3, which is already a single digit.
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