Answer:
The change in enthaply when 10.0 g of nitrogen triiodide decomposes is -3.67 kJ.
Explanation:
[tex]2NI_3 (s)\rightarrow N_2 (g)+3 I_2 (g), \Delta H_{rxn} =-290.0 kJ[/tex]
Enthalpy of the reaction when 2 moles of nitrogen triiodide decomposed =[tex]\Delta H_{rxn} [/tex]
[tex]\Delta H_{rxn} = -290.0 kJ[/tex]
Enthalpy of the reaction when 1 moles of nitrogen triiodide decomposed :
[tex]\Delta H=\frac{\Delta H_{rxn}}{2}=\frac{-290.0 kJ}{2} =-145.0 kJ[/tex]
Mass of nitrogen triiodide decomposed = 10.0 g
Moles of nitrogen triiodide = [tex]\frac{10.0 g}{395 g/mol}=0.02532 mol[/tex]
Change in enthaply when 0.02532 moles of nitrogen triiodide decomposed:
[tex]\Delta H\times 0.02532=-145 kJ\times 0.02532=-3.67 kJ[/tex]