Given two processes: (i) 1/2 (s) + 3(g) -> 2(l); δ H = -635 kJ and (ii) (l) + (g) -> (s); δ H = -137 — Thermodynamics and Thermochemistry Chemistry Question
Question
Given two processes: (i) 1/2 $P_4$(s) + 3$Cl_2$(g) -> 2$PCl_3$(l); δ H = -635 kJ and (ii) $PCl_3$(l) + $Cl_2$(g) -> $PCl_5$(s); δ H = -137 kJ. The value of delta_f H of $PCl_5$(s) is
Answer: B
💡 Solution & Explanation
We want the formation of $PCl_5$(s): 1/4 $P_4$(s) + 5/2 $Cl_2$(g) -> $PCl_5$(s). Divide equation (i) by 2: 1/4 $P_4$(s) + 3/2 $Cl_2$(g) -> $PCl_3$(l); δ H = -317.5 kJ. Add equation (ii): $PCl_3$(l) + $Cl_2$(g) -> $PCl_5$(s); δ H = -137 kJ. Summing these: 1/4 $P_4$(s) + 5/2 $Cl_2$(g) -> $PCl_5$(s); δ H = -317.5 + (-137) = -454.5 kJ/mol.
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