Respuesta :
Answer:
-283 KJ, exothermic
Explanation:
We are given that
Enthalpy of a mixture of a gases reactants
Change in enthalpy=[tex]\Delat H[/tex]=-228 KJ
Where negative sign represents the enthalpy decreases.
Pressure=Constant.
Work don=w=-55 KJ
We have to calculate the change in energy of the gas mixture during the reaction.
At constant pressure, the change in enthalpy
[tex]\Delta H=\Delta U+P\Delta V[/tex]
Where w=[tex]-P\Delta V[/tex]
Where P=Constant
[tex]\Delta V=[/tex] Change in volume
[tex]\Delta U=[/tex] Change in energy
[tex]\Delta U=\Delta H-P\Delta V[/tex]
[tex]\Delta U=\Delta H+w[/tex]
Substitute the values then we get
[tex]\Delta U=-228-55=-283[/tex] KJ
Hence, the change in energy of the gas mixture during the reaction=-283 KJ
Change in enthalpy is negative it means the reaction is exothermic because the energy is evolved.
The reaction is exothermic, heat is evolved.
From the first law of thermodynamics we know that energy is neither created nor destroyed.
Therefore, the change in energy is obtained from the formula;
ΔU = ΔH + w
ΔU = change in energy
ΔH = Change in enthalpy (heat absorbed or evolved)
w = work done
ΔU = ?
w = -55kJ
ΔH = -228. kJ
ΔU= -228. kJ + ( -55kJ)
ΔU = -283 kJ
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