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The graph below shows concentration changes of reactants and products for this reaction over time. Use this information to answer the following questions:

Chemistry

ScanSolve AI Answer

Answer

1.8
0.351

Step-by-step solution

5 steps

Here are the answers to your questions:

Part 1.1

Explain the term chemical equilibrium.

Chemical equilibrium is a state in a reversible reaction where the rate of the forward reaction is equal to the rate of the reverse reaction, and the concentrations of reactants and products remain constant.

Part 1.2

At which times/interval(s) is / (are) the reaction at equilibrium?

The reaction is at equilibrium during the intervals 0 to t1t_1, t1t_1 to t2t_2, and t3t_3 to t4t_4.

Part 1.3

Does the FORWARD or the REVERSE reaction have the faster reaction rate during the interval t2t_2 to t3t_3?

During the interval t2t_2 to t3t_3, the concentration of reactants ([CO][CO] and [O2][O_2]) decreases, and the concentration of the product ([CO2][CO_2]) increases. This indicates that the forward reaction rate is faster.

Part 1.4

The temperature is decreased at t4t_4. Is the reaction EXOTHERMIC or ENDOTHERMIC?

At t4t_4, the temperature is decreased. The graph shows that after this change, the concentrations of COCO and O2O_2 decrease, while the concentration of CO2CO_2 increases. This means the equilibrium shifts to the right (forward reaction). According to Le Chatelier's principle, a decrease in temperature favors the exothermic reaction. Therefore, the forward reaction is exothermic.

Part 1.5

Explain the answer to QUESTION 1.4.

When the temperature is decreased at t4t_4, the system shifts to counteract this change by favoring the reaction that releases heat. Since the equilibrium shifts to the right, increasing the concentration of CO2CO_2 and decreasing the concentrations of COCO and O2O_2, the forward reaction must be exothermic, as it releases heat.

Part 1.6

What change is made to at t2t_2?

At t2t_2, there is an instantaneous increase in the concentrations of all reactants and products. This indicates a decrease in the volume of the container (or an increase in pressure).

Part 1.7

How will the change made at t2t_2 influence the value of KcK_c for this reaction? Write only INCREASE, DECREASE or REMAIN THE SAME.

The change made at t2t_2 (a change in pressure/volume) does not affect the value of KcK_c. KcK_c is only influenced by temperature. Therefore, KcK_c will remain the same.

Part 1.80.351

Initially 63 g of CO and 9.11 g of O2_2 is placed in a 2 dm3^3 container. At equilibrium, the concentration of CO2_2 is 0.15 mol·dm−3^{-3}. Calculate the KcK_c value for this reaction.

  1. Calculate the initial moles and concentrations of reactants.

    Molar mass of CO (MCOM_{CO}) = 12.01+16.00=28.01 g/mol12.01 + 16.00 = 28.01 \text{ g/mol}
    Molar mass of O2_2 (MO2M_{O_2}) = 2×16.00=32.00 g/mol2 \times 16.00 = 32.00 \text{ g/mol}

    Initial moles of CO (nCOn_{CO}) = 63 g28.01 g/mol=2.2492 mol\frac{63 \text{ g}}{28.01 \text{ g/mol}} = 2.2492 \text{ mol}
    Initial moles of O2_2 (nO2n_{O_2}) = 9.11 g32.00 g/mol=0.2847 mol\frac{9.11 \text{ g}}{32.00 \text{ g/mol}} = 0.2847 \text{ mol}

    Volume of container (VV) = 2 dm32 \text{ dm}^3

    Initial concentration of CO ([CO]initial[CO]_{initial}) = 2.2492 mol2 dm3=1.1246 mol/dm3\frac{2.2492 \text{ mol}}{2 \text{ dm}^3} = 1.1246 \text{ mol/dm}^3
    Initial concentration of O2_2 ([O2]initial[O_2]_{initial}) = 0.2847 mol2 dm3=0.1424 mol/dm3\frac{0.2847 \text{ mol}}{2 \text{ dm}^3} = 0.1424 \text{ mol/dm}^3
    Initial concentration of CO2_2 ([CO2]initial[CO_2]_{initial}) = 0 mol/dm30 \text{ mol/dm}^3

  2. Set up an ICE (Initial, Change, Equilibrium) table using concentrations.

    The balanced reaction is: 2CO(g)+O2(g)⇌2CO2(g)2CO(g) + O_2(g) \rightleftharpoons 2CO_2(g)

    SpeciesInitial (mol/dm3^3)Change (mol/dm3^3)Equilibrium (mol/dm3^3)
    CO1.1246-2x1.1246 - 2x
    O2_20.1424-x0.1424 - x
    CO2_20+2x2x
  3. Use the given equilibrium concentration of CO2_2 to find xx.

    At equilibrium, [CO2]=0.15 mol/dm3[CO_2] = 0.15 \text{ mol/dm}^3.
    From the table, 2x=0.15 mol/dm32x = 0.15 \text{ mol/dm}^3.
    So, x=0.152=0.075 mol/dm3x = \frac{0.15}{2} = 0.075 \text{ mol/dm}^3.

  4. Calculate the equilibrium concentrations of all species.

    [CO]eq=1.1246−2(0.075)=1.1246−0.15=0.9746 mol/dm3[CO]_{eq} = 1.1246 - 2(0.075) = 1.1246 - 0.15 = 0.9746 \text{ mol/dm}^3
    [O2]eq=0.1424−0.075=0.0674 mol/dm3[O_2]_{eq} = 0.1424 - 0.075 = 0.0674 \text{ mol/dm}^3
    [CO2]eq=0.15 mol/dm3[CO_2]_{eq} = 0.15 \text{ mol/dm}^3

  5. Calculate the equilibrium constant KcK_c.

    The expression for KcK_c is:

    Kc=[CO2]2[CO]2[O2]K_c = \frac{[CO_2]^2}{[CO]^2[O_2]}

    Substitute the equilibrium concentrations:

    Kc=(0.15)2(0.9746)2(0.0674)K_c = \frac{(0.15)^2}{(0.9746)^2(0.0674)} Kc=0.0225(0.9498)(0.0674)K_c = \frac{0.0225}{(0.9498)(0.0674)} Kc=0.02250.064026K_c = \frac{0.0225}{0.064026} Kc≈0.3514K_c \approx 0.3514

    Rounding to three significant figures:

    Kc=0.351K_c = \boxed{0.351}
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