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For the reaction N2(g) + 3H2(g) <=> 2NH3(g) with ΔH = -92 kJ/mol, state the equilibrium law and the effect of changes in concentration, temperature, and pressure on the equilibrium position.

Chemistry

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3 parts
d(i)
0.4894
0.5106
d(ii)

46.00 mmHg46.00 \text{ mmHg}

22.47 mmHg22.47 \text{ mmHg}

d(iii)

68.47 mmHg68.47 \text{ mmHg}

Step-by-step solution

10 steps

Parts (A) and (B) of the question require experimental data (e.g., initial rates at different concentrations) to determine the order of reaction and calculate the rate constant. This data is not provided in the image. Therefore, these parts cannot be solved.

Part c(i)

State the equilibrium law.

The equilibrium law expresses the relationship between the concentrations (or partial pressures) of products and reactants at equilibrium. For the given reaction:

N2(g)+3H2(g)⇌2NH3(g)\text{N}_{2(g)} + 3\text{H}_{2(g)} \rightleftharpoons 2\text{NH}_{3(g)}

The equilibrium constant expression in terms of concentrations (KcK_c) is:

Kc=[NH3]2[N2][H2]3K_c = \frac{[\text{NH}_3]^2}{[\text{N}_2][\text{H}_2]^3}

The equilibrium constant expression in terms of partial pressures (KpK_p) is:

Kp=(PNH3)2(PN2)(PH2)3K_p = \frac{(P_{\text{NH}_3})^2}{(P_{\text{N}_2})(P_{\text{H}_2})^3}

The equilibrium law states that at a given temperature, the ratio of the product of the concentrations (or partial pressures) of the products raised to their stoichiometric coefficients to the product of the concentrations (or partial pressures) of the reactants raised to their stoichiometric coefficients is a constant.

Part c(ii)· 4 steps

State the effect of the following on the equilibrium position for the reaction above

The reaction is N2(g)+3H2(g)⇌2NH3(g)\text{N}_{2(g)} + 3\text{H}_{2(g)} \rightleftharpoons 2\text{NH}_{3(g)} with ΔH=−92 kJ/mol\Delta H = -92 \text{ kJ/mol}. This indicates the forward reaction is exothermic.

(A) Increase in temperature:

  1. Identify the nature of the reaction's enthalpy change.

    The forward reaction is exothermic (ΔH=−92 kJ/mol\Delta H = -92 \text{ kJ/mol}).

  2. Apply Le Chatelier's principle.

    An increase in temperature will shift the equilibrium in the endothermic direction to absorb the added heat. The reverse reaction (decomposition of NH3\text{NH}_3) is endothermic.
    The equilibrium position will shift to the left, favoring the formation of reactants (N2\text{N}_2 and H2\text{H}_2).

    (B) Decrease in pressure:

  3. Determine the number of moles of gaseous reactants and products.

    Reactant side: 1 mol N2+3 mol H2=4 moles of gas1 \text{ mol N}_2 + 3 \text{ mol H}_2 = 4 \text{ moles of gas}
    Product side: 2 mol NH3=2 moles of gas2 \text{ mol NH}_3 = 2 \text{ moles of gas}

  4. Apply Le Chatelier's principle.

    A decrease in pressure will shift the equilibrium to the side with a greater number of moles of gas to counteract the pressure change.
    The equilibrium position will shift to the left, favoring the formation of reactants (N2\text{N}_2 and H2\text{H}_2).

Part d(i)0.4894

Calculate the mole fraction of each component in the solution.

Given:
Vapor pressure of pure ethanol (Pethanol∘P^{\circ}_{\text{ethanol}}) = 44 mmHg
Vapor pressure of pure methanol (Pmethanol∘P^{\circ}_{\text{methanol}}) = 94 mmHg
Mass of methanol (CH3OH\text{CH}_3\text{OH}) = 30g
Mass of ethanol (CH3CH2OH\text{CH}_3\text{CH}_2\text{OH}) = 45g
RAM: C=12, O=16, H=1

  1. Calculate the molar mass of each component.

    Molar mass of CH3OH=(1×12)+(4×1)+(1×16)=12+4+16=32 g/mol\text{CH}_3\text{OH} = (1 \times 12) + (4 \times 1) + (1 \times 16) = 12 + 4 + 16 = 32 \text{ g/mol}
    Molar mass of CH3CH2OH=(2×12)+(6×1)+(1×16)=24+6+16=46 g/mol\text{CH}_3\text{CH}_2\text{OH} = (2 \times 12) + (6 \times 1) + (1 \times 16) = 24 + 6 + 16 = 46 \text{ g/mol}

  2. Calculate the moles of each component.

    Moles of methanol (nmethanoln_{\text{methanol}}):

    nmethanol=30 g32 g/mol=0.9375 moln_{\text{methanol}} = \frac{30 \text{ g}}{32 \text{ g/mol}} = 0.9375 \text{ mol}

    Moles of ethanol (nethanoln_{\text{ethanol}}):

    nethanol=45 g46 g/mol≈0.9783 moln_{\text{ethanol}} = \frac{45 \text{ g}}{46 \text{ g/mol}} \approx 0.9783 \text{ mol}
  3. Calculate the total moles in the solution.

    ntotal=nmethanol+nethanol=0.9375 mol+0.9783 mol=1.9158 moln_{\text{total}} = n_{\text{methanol}} + n_{\text{ethanol}} = 0.9375 \text{ mol} + 0.9783 \text{ mol} = 1.9158 \text{ mol}
  4. Calculate the mole fraction of each component.

    Mole fraction of methanol (XmethanolX_{\text{methanol}}):

    Xmethanol=nmethanolntotal=0.9375 mol1.9158 mol≈0.4894X_{\text{methanol}} = \frac{n_{\text{methanol}}}{n_{\text{total}}} = \frac{0.9375 \text{ mol}}{1.9158 \text{ mol}} \approx \boxed{0.4894}

    Mole fraction of ethanol (XethanolX_{\text{ethanol}}):

    Xethanol=nethanolntotal=0.9783 mol1.9158 mol≈0.5106X_{\text{ethanol}} = \frac{n_{\text{ethanol}}}{n_{\text{total}}} = \frac{0.9783 \text{ mol}}{1.9158 \text{ mol}} \approx \boxed{0.5106}

Part d(ii)

46.00 mmHg46.00 \text{ mmHg}

Calculate the partial vapor pressure of each component in the solution at 20°C.

  1. Apply Raoult's Law (Pi=XiPi∘P_i = X_i P^{\circ}_i).

    Partial vapor pressure of methanol (PmethanolP_{\text{methanol}}):

    Pmethanol=Xmethanol×Pmethanol∘=0.4894×94 mmHg≈46.00 mmHgP_{\text{methanol}} = X_{\text{methanol}} \times P^{\circ}_{\text{methanol}} = 0.4894 \times 94 \text{ mmHg} \approx \boxed{46.00 \text{ mmHg}}

    Partial vapor pressure of ethanol (PethanolP_{\text{ethanol}}):

    Pethanol=Xethanol×Pethanol∘=0.5106×44 mmHg≈22.47 mmHgP_{\text{ethanol}} = X_{\text{ethanol}} \times P^{\circ}_{\text{ethanol}} = 0.5106 \times 44 \text{ mmHg} \approx \boxed{22.47 \text{ mmHg}}

Part d(iii)

68.47 mmHg68.47 \text{ mmHg}

Calculate the total vapor pressure of the mixture.

  1. Apply Dalton's Law of Partial Pressures (Ptotal=Pmethanol+PethanolP_{\text{total}} = P_{\text{methanol}} + P_{\text{ethanol}}).

    Ptotal=46.00 mmHg+22.47 mmHg=68.47 mmHgP_{\text{total}} = 46.00 \text{ mmHg} + 22.47 \text{ mmHg} = \boxed{68.47 \text{ mmHg}}

    2. (a) (i) Define the term standard enthalpy of formation.
    The *standard enthalpy

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