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Tema [17]
4 years ago
9

NO2 and N2O4 undergo the reaction shown. When a sealed

Chemistry
1 answer:
hichkok12 [17]4 years ago
5 0

Answer:

  • Option <u><em>C) The rates of the forward and reverse reactions are equal.</em></u>

Explanation:

NO₂ and N₂O₄ undergo the following <em>equilibrium</em> reaction:

  • 2NO₂(g)   ⇄     N₂O₄(g)

That is a reversible reaction, i.e. there are two simultaneous reactions: the direct or forward reaction and the reverse reaction:

  • Direct reaction: 2NO₂(g)     →   N₂O₄(g)

  • Reverse reaction: 2NO₂(g)  ←   N₂O₄(g)

At the beginning, only NO₂(g) is in the sealed container. The NO₂ concentration is maximum, and the rate of the forward reaction is maximum.

As the reaction progresses, the concentration of NO₂ diminishes, and, consequently, the rate of the forward reaction decreases.

As soon as the N₂O₄ appears, the reverse reaction starts. At the beginning the rate is low, but as the N₂O₄ concentration increases the rate of the reverse reaction increases.

When both forward and reverse rates become equal the equilibrium has been reached. This is what is called a dynamical equilibrium.

Then, as per the choices, you have that, at equilibrium:

<u>A) No N₂O₄ is present</u>:

  • False: as explained above, at equilibrium both NO₂ and N₂O₄ are present.

<u>B) No chemical reactions are occurring</u>.

  • False: as explained above, at equilibrium both forward and reverse reaction are occurring at the same rate.

<u>C) The rates of the forward and reverse reactions are equal</u>.

  • True: as explained, this is the meaning of dynamic equilibrium.

<u>D) The maximum number of molecules has been reached</u>.

  • False: the number of molecules of each compound at equilibrium will be given by the constant of equiibrium, Keq = [N₂O₄] / [NO₂]², and this value varies with the temperature.
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Answer:

\Delta G^0 _{rxn} = 207.6\ kJ/mol

ΔG ≅ 199.91 kJ

Explanation:

Consider the reaction:

2N_{2(g)} + O_{2(g)} \to 2N_2O_{(g)}

temperature = 298.15K

pressure = 22.20 mmHg

From, The standard Thermodynamic Tables; the following data were obtained

\Delta G_f^0  \ \ \ N_2O_{(g)} = 103 .8  \ kJ/mol

\Delta G_f^0  \ \ \ N_2{(g)} =0 \ kJ/mol

\Delta G_f^0  \ \ \ O_2{(g)} =0 \ kJ/mol

\Delta G^0 _{rxn} = 2 \times \Delta G_f^0  \ N_2O_{(g)} - ( 2 \times  \Delta G_f^0  \ N_2{(g)} +   \Delta G_f^0  \ O_{2(g)})

\Delta G^0 _{rxn} = 2 \times 103.8 \ kJ/mol - ( 2 \times  0 +   0)

\Delta G^0 _{rxn} = 207.6\ kJ/mol

The equilibrium constant determined from the partial pressure denoted as K_p can be expressed as :

K_p = \dfrac{(22.20)^2}{(22.20)^2 \times (22.20)}

K_p = \dfrac{1}{ (22.20)}

K_p = 0.045

\Delta G = \Delta G^0 _{rxn} + RT \ lnK

where;

R = gas constant = 8.314 × 10⁻³ kJ

\Delta G =207.6 + 8.314 \times 10 ^{-3} \times 298.15  \ ln(0.045)

\Delta G =207.6 + 2.4788191 \times \ ln(0.045)

\Delta G =207.6+ (-7.687048037)

\Delta G = 199.912952  kJ

ΔG ≅ 199.91 kJ

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E°cell= E°cathode -E°anode= 0.34 -0.80= -0.5V

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