The decomposition of NI3 to form N2 and I2 releases −290.0 kJ of energy. The reaction can be represented as 2NI3(s)→N2(g)+3I2(g), ΔHrxn=−290.0 kJ Find the change in enthaply when 20.0 g of NI3 decomposes.

Respuesta :

Answer:

-7.34 kilo Joules is the change in enthaply when 20.0 grams of nitrogen triiodide decomposes.

Explanation:

Mass of nitrogen triiodide = 20.0 g

Moles of nitrogen triiodide = [tex]\frac{20.0 g}{395 g/mol}=0.05063 mol[/tex]

[tex]2NI_3(s)\rightarrow N_2(g)+3I_2(g), \Delta H_{rxn}=-290.0 kJ[/tex]

According to reaction, 2 moles of nitrogen triiodide gives 290.0 kilo Joules of heat on decomposition ,then 0.05063 moles of nitrogen triiodide will give :

[tex]\frac{-290.0 kJ}{2}\times 0.05063=-7.34 kJ[/tex]

-7.34 kilo Joules is the change in enthaply when 20.0 grams of nitrogen triiodide decomposes.

Taking into account the definition of enthalpy of a chemical reaction, the quantity of heat released when 20.0 g of NI₃ decomposes is 7.34 kJ.

What is enthalpy of a chemical reaction

The enthalpy of a chemical reaction as the heat absorbed or released in a chemical reaction when it occurs at constant pressure. That is, the heat of reaction is the energy that is released or absorbed when chemicals are transformed into a chemical reaction.

The enthalpy is an extensive property, that is, it depends on the amount of matter present.

Change in enthaply

In this case, the balanced reaction is:

2 NI₃ → N₂ (g) + 3 I₂(g)

and the enthalpy reaction ∆H° has a value of -290 kJ.

This equation indicates that when 2 moles of NI₃ decomposes, 290 kJ of heat is released.

Now 20.0 g of NI₃ decomposes. Being the molar mass of NI₃ 395 g/mole, the moles of NI₃ that decomposes is calculated as:

[tex]moles= \frac{20 g}{395 \frac{g}{mole} } =[/tex] 0.05063 moles

When 0.05063 moles of NI₃ decomposes, then you can apply the following rule of three: if 2 moles of NI₃ releases 290 kJ of heat, 0.05063 moles of NI₃ releases how much heat?

[tex]heat=\frac{0.05063 molesx290 kJ}{2 moles}[/tex]

heat= 7.34 kJ

Finally, the quantity of heat released when 20.0 g of NI₃ decomposes is 7.34 kJ.

Learn more about enthalpy of a chemical reaction:

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