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The standard internal energy change for a reaction can be symbolized as Δ U ∘ rxn or Δ E ∘ rxn . For each reaction equation, calculate the energy change of the reaction at 25 ∘ C and 1.00 bar . Sn ( s ) + 2 Cl 2 ( g ) ⟶ SnCl 4 ( l ) Δ H ∘ rxn = − 511.3 kJ/mol

Respuesta :

Answer : The internal energy change is, -506.3 kJ/mol

Explanation :

Formula used :

[tex]\Delta H=\Delta U+\Delta n_gRT[/tex]

or,

[tex]\Delta U=\Delta H-\Delta n_gRT[/tex]

where,

[tex]\Delta H[/tex] = change in enthalpy = [tex]-511.3kJ/mol=-511300.0J/mol[/tex]

[tex]\Delta U[/tex] = change in internal energy = ?

[tex]\Delta n_g[/tex] = change in moles

Change in moles = Number of moles of product side - Number of moles of reactant side

According to the reaction:

Change in moles = 0 - 2 = -2 mole

That means, value of [tex]\Delta n_gRT[/tex] = 0

R = gas constant = 8.314 J/mol.K

T = temperature = [tex]25^oC=273+25=298K[/tex]

Now put all the given values in the above formula, we get

[tex]\Delta U=\Delta H-\Delta n_gRT[/tex]

[tex]\Delta U=(-511300.0J/mol)-[-2mol\times 8.314J/mol.K\times 298K[/tex]

[tex]\Delta U=-511300.0J/mol+4955.144J/mol[/tex]

[tex]\Delta U=-506344.856J/mol=-506.3kJ/mol[/tex]

Therefore, the internal energy change is -506.3 kJ/mol

Lanuel

The change in internal energy of this chemical reaction is [tex]\Delta U = -506.35\; kJ/mol[/tex].

Given the following data:

  • Temperature = 25°C to K = 273 + 25 = 298 Kelvin.
  • Pressure = 1.00 bar
  • Enthalpy change = -511.3 kJ/mol

Ideal gas constant, R = 8.314 J/mol.K

To calculate the energy change of the reaction:

                [tex]Sn_{(s)} + 2 Cl_2_{( g )} --> SnCl_{4}_{ ( l )}[/tex]

Change in number of moles = [tex]0-2=-2\;moles[/tex]

Mathematically, the change in internal energy is given by the formula:

[tex]\Delta U = \Delta H - \Delta n RT[/tex]

Where:

  • [tex]\Delta U[/tex] is the change in internal energy.
  • [tex]\Delta H[/tex] is the change in enthalpy.
  • n is the number of moles.
  • R is the ideal gas constant.
  • T is the temperature.

Substituting the given parameters into the formula, we have;

[tex]\Delta U = -511300 - (-2 \times 8.314 \times 298)\\\\\Delta U = -511300 -(-4955.144)\\\\\Delta U = -511300 + 4955.144\\\\\Delta U = -506344.856\\\\\Delta U = -506.35\; kJ/mol[/tex]

Read more: https://brainly.com/question/21280037

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