Answer:
+43.32 kJ
Step-by-step explanation:
Step 1: Write the thermochemical equation for the decomposition of sodium nitride
2 Na₃N ⇒ N₂ + 6 Na ΔH = +42.7 kJ
Step 2: Calculate the moles corresponding to 168.4 g of Na₃N
The molar mass of Na₃N is 82.98 g/mol.
168.4 g × 1 mol/82.98 g = 2.029 mol
Step 3: Calculate the heat needed for the decomposition of 2.029 moles of Na₃N
According to the thermochemical equation, 42.7 kJ are required for the decomposition of 2 moles of Na₃N. The heat needed for the decomposition of 2.029 moles of Na₃N is:
2.029 mol × 42.7 kJ/2 mol = 43.32 kJ