Thermodynamics and ThermochemistryhardMCQ SINGLE

The standard enthalpy of atomization of is and that of is . What is the bond dissociation enthalpy oThermodynamics and Thermochemistry Chemistry Question

Question

The standard enthalpy of atomization of $PH_3(g)$ is $954 \text{ kJ mol}^{-1}$ and that of $P_2H_4(g)$ is $1485 \text{ kJ mol}^{-1}$. What is the bond dissociation enthalpy of the $P-P$ bond?

Answer: A

💡 Solution & Explanation

For $PH_3$, atomization involves breaking $3$ identical $P-H$ bonds. $3 \times BE(P-H) = 954 \Rightarrow BE(P-H) = 318 \text{ kJ mol}^{-1}$. For $P_2H_4$, atomization involves breaking $1$ $P-P$ bond and $4$ $P-H$ bonds. $BE(P-P) + 4 \times BE(P-H) = 1485$. Substituting $BE(P-H)$ yields: $BE(P-P) + 4(318) = 1485 \Rightarrow BE(P-P) = 1485 - 1272 = 213 \text{ kJ mol}^{-1}$.

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