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IB DP Chemistry Mock Exam HL Paper 1B Set 5 - 2025 Syllabus

IB DP Chemistry Mock Exam HL Paper 1B Set 5

Prepare for the IB DP Chemistry Exam with our comprehensive IB DP Chemistry Exam Mock Exam HL Paper 1B Set 5. Test your knowledge and understanding of key concepts with challenging questions covering all essential topics. Identify areas for improvement and boost your confidence for the real exam

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Question 

Nitrogen dioxide, \( \text{NO}_2 \), is a brown, corrosive and poisonous gas. In a school laboratory it can be prepared either by heating a group II metal nitrate or by reacting copper metal, Cu, with concentrated nitric acid, \( \text{HNO}_3 \).
(a)
(i) Suggest two suitable safety precautions that should be applied in both experiments and give a reason for each precaution.
(ii) The reaction of copper with concentrated nitric acid can be represented as: \[ \_\_\_\ \text{Cu(s)} + \_\_\_\ \text{HNO}_3(\text{aq}) \rightarrow \_\_\_\ \text{Cu(NO}_3)_2(\text{aq}) + \_\_\_\ \text{NO}_2(\text{g}) + \_\_\_\ \text{H}_2\text{O(l)} \] Determine the simplest whole-number coefficients for this equation.
(iii) Calculate the mass, in g, of copper needed to produce \( 0.0100 \) moles of \( \text{NO}_2 \). Use the molar mass of copper from the data booklet.
(b) The \( \text{NO}_2 \) obtained was placed in a sealed glass vessel where the equilibrium reaction below occurred:
\[ 2\,\text{NO}_2(\text{g}) \rightleftharpoons \text{N}_2\text{O}_4(\text{g}) \qquad \Delta H^\circ = -55.3\ \text{kJ mol}^{-1} \]
Suggest two different physical quantities (other than observing colour) that could be measured over time to follow the progress of this equilibrium and state the expected trend for each quantity as the forward reaction proceeds.
(c) A sample containing \( 0.0100 \) moles of \( \text{NO}_2 \) was introduced into a sealed container of volume \( 1\ \text{dm}^3 \) and maintained at a constant temperature of \( 40^\circ\text{C} \).
(i) Explain how this constant temperature could conveniently be maintained in a school laboratory.
(ii) The equilibrium concentration of \( \text{NO}_2 \) was monitored by colorimetry. A student began the experiment and immediately took the first absorbance reading. Explain why this reading may not be reliable.
(iii) Describe how the issue in part (c)(ii) could be avoided.
(d) At \( 0^\circ\text{C} \), it was found that \( 0.00732 \) moles of \( \text{NO}_2 \) remained at equilibrium from the original \( 0.0100 \) moles in the same \( 1\ \text{dm}^3 \) container.
Calculate the value of the equilibrium constant, \( K \), at \( 0^\circ\text{C} \) for this equilibrium, using \[ K = \frac{[\text{N}_2\text{O}_4]}{[\text{NO}_2]^2}. \]
(e) The initial amount of \( \text{NO}_2 \) produced was determined by titration. The gas was first dissolved in water according to:
\[ 2\,\text{NO}_2(\text{g}) + \text{H}_2\text{O(l)} \rightarrow \text{HNO}_3(\text{aq}) + \text{HNO}_2(\text{aq}) \]
The resulting solution was made up to \( 250.0\ \text{cm}^3 \). Portions of \( 25.0\ \text{cm}^3 \) of this solution were titrated with a \( 0.0500\ \text{mol dm}^{-3} \) standard sodium hydroxide solution, \( \text{NaOH}(\text{aq}) \).
(i) Draw a suitable table layout that could be used to record the titration results. Include headings with variables and units, but leave the data cells empty.
(ii) The burette readings used for the titration of the analysed mixture with NaOH had an uncertainty of \( \pm 0.05\ \text{cm}^3 \). The average titre recorded was \( 20.05\ \text{cm}^3 \). Calculate the percentage uncertainty in this volume.
The experiment described in part (b) was then carried out at several temperatures. The following values of the equilibrium constant \( K \) were obtained:
\[ 2\,\text{NO}_2(\text{g}) \rightleftharpoons \text{N}_2\text{O}_4(\text{g}) \qquad \Delta H^\circ = -55.3\ \text{kJ mol}^{-1} \]
\( T / ^\circ\text{C} \)\( T / \text{K} \)\( K \)
\( 0.0 \)value from (d)
\( 20.0 \)\( 4.74 \)
\( 50.0 \)\( 5.76 \times 10^{-1} \)
\( 100.0 \)\( 3.64 \times 10^{-2} \)
(iii) Convert the temperatures in the table from \( ^\circ\text{C} \) to kelvin and complete the \( T/\text{K} \) column.
(iv) Using the completed table and the value of \( \Delta H^\circ \), decide whether the results are consistent with the enthalpy change given above. Justify your answer briefly.

▶️ Answer/Explanation

(a)(i)
Possible answers (any two precautions, each with a correct reason):
• Wear safety goggles / eye protection   → to prevent corrosive \( \text{HNO}_3 \) or \( \text{NO}_2 \) from damaging the eyes.
• Work in a fume cupboard / fume hood   → to avoid inhaling the toxic \( \text{NO}_2 \) gas.
(Other acceptable second precautions include using gloves or tongs to protect the skin from hot or acidic substances.)

(a)(ii)
Balanced equation:
\[ \text{Cu(s)} + 4\,\text{HNO}_3(\text{aq}) \rightarrow \text{Cu(NO}_3)_2(\text{aq}) + 2\,\text{NO}_2(\text{g}) + 2\,\text{H}_2\text{O(l)} \] Coefficients: \( 1 : 4 : 1 : 2 : 2 \).

(a)(iii)
From the balanced equation, \( 1\ \text{mol Cu} \rightarrow 2\ \text{mol NO}_2 \).
Required moles of copper:
\[ n(\text{Cu}) = \frac{n(\text{NO}_2)}{2} = \frac{0.0100}{2} = 0.00500\ \text{mol} \] Using molar mass \( M(\text{Cu}) = 63.55\ \text{g mol}^{-1} \):
\[ m(\text{Cu}) = n \times M = 0.00500 \times 63.55 = 0.3178\ \text{g} \approx 0.318\ \text{g} \] \(\boxed{0.318\ \text{g of Cu}}\)

(b)
Example pair of measurements and expected trends (any two suitable pairs):
Measurement 1: temperature of the system   → As the exothermic forward reaction \( (2\,\text{NO}_2 \rightarrow \text{N}_2\text{O}_4) \) proceeds, the temperature of the sealed system would initially increase.
Measurement 2: pressure of the gas at constant volume   → As the reaction forms fewer moles of gas (from \( 2 \) to \( 1 \) mole), the pressure is expected to decrease while the forward reaction is occurring.

(c)(i)
Place the sealed container in a thermostatically controlled water bath / hot-water bath set to \( 40^\circ\text{C} \), and monitor with a thermometer to maintain constant temperature.

(c)(ii)
Immediately recording the absorbance is unreliable because equilibrium has not yet been reached; the concentration of \( \text{NO}_2 \) (and therefore the colour/absorbance) is still changing.

(c)(iii)
Allow the system to stand at \( 40^\circ\text{C} \) until the absorbance (or colour) becomes constant, then take the reading. In practice: wait and/or repeat measurements until successive absorbance values are unchanged.

(d)
Let \( x \) be the moles of \( \text{N}_2\text{O}_4 \) formed at equilibrium.
Stoichiometry: \( 2\,\text{NO}_2 \rightleftharpoons \text{N}_2\text{O}_4 \).
Initial moles of \( \text{NO}_2 \): \( 0.0100 \).
At equilibrium: moles of \( \text{NO}_2 = 0.00732 \).
Moles of \( \text{NO}_2 \) consumed: \[ 0.0100 – 0.00732 = 0.00268\ \text{mol} \] Hence: \[ 2x = 0.00268 \Rightarrow x = 0.00134\ \text{mol of } \text{N}_2\text{O}_4 \] Volume is \( 1.00\ \text{dm}^3 \), so concentrations equal moles:
\[ [\text{NO}_2] = 0.00732\ \text{mol dm}^{-3},\quad [\text{N}_2\text{O}_4] = 0.00134\ \text{mol dm}^{-3} \] Then \[ K = \frac{[\text{N}_2\text{O}_4]}{[\text{NO}_2]^2} = \frac{0.00134}{(0.00732)^2} \approx 25.0\ \text{mol}^{-1}\text{dm}^3 \] \(\boxed{K \approx 25.0\ \text{mol}^{-1}\text{dm}^3}\)

(e)(i)
One acceptable table format is:

Titration numberInitial burette reading / \( \text{cm}^3 \)Final burette reading / \( \text{cm}^3 \)Volume of \( \text{NaOH} \) added / \( \text{cm}^3 \)
1   
2   
3   

The table allows at least three titration results and records both initial and final burette readings (and hence the volume of \( \text{NaOH} \) added) with units.

(e)(ii)
Each burette reading has an uncertainty of \( \pm 0.05\ \text{cm}^3 \). For a titre calculated from initial and final readings, total absolute uncertainty is: \[ \Delta V = 0.05 + 0.05 = 0.10\ \text{cm}^3 \] Percentage uncertainty: \[ \%\,\text{uncertainty} = \frac{\Delta V}{V} \times 100 = \frac{0.10}{20.05} \times 100 \approx 0.50\% \] \(\boxed{\text{Percentage uncertainty} \approx 0.50\%}\)

(e)(iii)
Convert temperatures using \( T(\text{K}) = T(^\circ\text{C}) + 273.2 \) (to 1 decimal place as in data):
\[ \begin{aligned} 0.0^\circ\text{C} &\rightarrow 273.2\ \text{K} \\ 20.0^\circ\text{C} &\rightarrow 293.2\ \text{K} \\ 50.0^\circ\text{C} &\rightarrow 323.2\ \text{K} \\ 100.0^\circ\text{C} &\rightarrow 373.2\ \text{K} \end{aligned} \] Completed \( T/\text{K} \) column: \( 273.2,\ 293.2,\ 323.2,\ 373.2 \).

(e)(iv)
Yes, the results are consistent with the given \( \Delta H^\circ \). The reaction is exothermic (\( \Delta H^\circ = -55.3\ \text{kJ mol}^{-1} \)), so increasing temperature should favour the endothermic (reverse) reaction and thus decrease \( K \). From the table, \( K \) decreases as \( T \) increases (for example, from about \( 25.0 \) at \( 273.2\ \text{K} \) to \( 3.64 \times 10^{-2} \) at \( 373.2\ \text{K} \)), which matches this expectation.

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