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A 'QwikCure' pack, used to treat sporting injuries, contains a bag of water inside a larger bag of finely powdered ammonium nitrate, NH4NO3 - VCE - SSCE Chemistry - Question 2 - 2009 - Paper 1

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A 'QwikCure' pack, used to treat sporting injuries, contains a bag of water inside a larger bag of finely powdered ammonium nitrate, NH4NO3. Squeezing the pack cause... show full transcript

Worked Solution & Example Answer:A 'QwikCure' pack, used to treat sporting injuries, contains a bag of water inside a larger bag of finely powdered ammonium nitrate, NH4NO3 - VCE - SSCE Chemistry - Question 2 - 2009 - Paper 1

Step 1

i. Explain the meaning of the term 'activation energy'.

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Answer

Activation energy is the minimum energy required for a chemical reaction to occur. It represents the energy barrier that reactants must overcome to transform into products. This energy is necessary to break bonds in the reactants and allow the formation of new bonds in the products.

Step 2

ii. On the graph below, sketch an energy profile diagram showing the changes that occur in chemical energy as the NH4NO3 powder dissolves.

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For this part, you should create an energy profile diagram that illustrates the energy changes during the dissolution process of NH4NO3. The diagram should depict an initial energy level for NH4NO3(s), a higher peak representing the transition state, and a lower energy level for the resulting NH4NO3(aq). Label the axes appropriately: energy (kJ mol⁻¹) on the y-axis and reaction progress on the x-axis.

Step 3

Write an equation for the equilibrium reaction of ammonium ions with water.

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The equilibrium reaction can be written as:

NH4+(aq)+H2O(l)NH3(aq)+H3O+(aq)NH_4^+(aq) + H_2O(l) \rightleftharpoons NH_3(aq) + H_3O^+(aq)

Step 4

What could have caused the change that occurred at time t2? Explain why the rate of the back reaction is affected by this change.

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The change that occurred at time t2 was likely due to a decrease in concentration of either ammonium ions or water. When the concentration of the reactants decreases, the rate of the forward reaction also decreases. Consequently, the rate of the back reaction will initially increase due to the shift in equilibrium as the system adjusts to restore balance.

Step 5

Would the value of the equilibrium constant at time t2 be less than, equal to or greater than the value of the equilibrium constant at time t1? Circle the correct response.

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The value of the equilibrium constant at time t2 would be equal to the value at time t1, as equilibrium constants remain unchanged unless temperature changes.

Step 6

i. Write an expression for the acidity constant, K_a, for the reaction between ammonium ions and water.

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Answer

The expression for the acidity constant K_a for the reaction is given by:

Ka=[NH3][H3O+][NH4+]K_a = \frac{[NH_3][H_3O^+]}{[NH_4^+]}

Step 7

ii. Calculate the concentration, in mol L⁻¹, of H3O⁺ ions in the 300 mL of solution.

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The pH of the solution is given as 5.04. To find the concentration of H3O⁺ ions, we can use the formula:

[H3O+]=10pH=105.049.12×106 mol L1[H_3O^+] = 10^{-pH} = 10^{-5.04} \approx 9.12 \times 10^{-6} \text{ mol L}^{-1}

Step 8

iii. Calculate the mass, in grams, of NH4NO3 in the pack.

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Answer

First, we need to calculate the moles of NH4NO3 dissolved in 300 mL of the solution:

Using the formula:

extmoles=[NH4NO3]×extvolume ext{moles} = [NH_4NO_3] \times ext{volume}

Given that the pH 5.04 indicates the presence of H3O⁺ ions, we can assume initial concentration matches that of NH4NO3.

Using the molarity, calculate the mass as follows:

extMass=extmoles×extmolarmass ext{Mass} = ext{moles} \times ext{molar mass}
Assuming the molar mass of NH4NO3 is approximately 80.04 g/mol, apply moles to find the mass.

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