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5.1 Define the term rate of a reaction - NSC Physical Sciences - Question 5 - 2021 - Paper 2

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5.1 Define the term rate of a reaction. 5.2 Using the experimental setup above, state the measurements that must be made to determine the rate of this reaction. 5.... show full transcript

Worked Solution & Example Answer:5.1 Define the term rate of a reaction - NSC Physical Sciences - Question 5 - 2021 - Paper 2

Step 1

Define the term rate of a reaction.

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Answer

The rate of a reaction refers to the change in concentration of reactants or products per unit time. It can be expressed quantitatively as the amount of substance that reacts or is produced in a given time interval, denoted by the formula: ext{Rate} = - rac{d[ ext{Reactants}]}{dt} ext{ or } rac{d[ ext{Products}]}{dt}

Step 2

Using the experimental setup above, state the measurements that must be made to determine the rate of this reaction.

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Answer

To determine the rate of the reaction, it is essential to measure the volume of CO₂ gas produced at regular time intervals. This can involve using a gas syringe to capture and quantify the volume of CO₂ generated during the reaction.

Step 3

Use the collision theory to explain how the average reaction rate in Experiment I differs from the average reaction rate in Experiment II.

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Answer

According to collision theory, the reaction rate is influenced by the frequency and effectiveness of collisions between reactant molecules. In Experiment I, a higher concentration of HCl (1.5 mol·dm⁻³) leads to more frequent collisions between reactive particles compared to Experiment II (2 mol·dm⁻³). This results in a higher average reaction rate for Experiment I, as more effective collisions occur per unit time due to the greater number of acid particles present.

Step 4

The average rate of the reaction in Experiment I during the first 2.5 minutes is 4.4 × 10⁻³ mol·min⁻¹.

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Answer

To find the average rate of reaction, we can use the formula: ext{Average rate} = rac{n}{ ext{Δ}t} Here,

  • nn = total moles reacted in 2.5 minutes
  • extΔt=2.5extmin ext{Δ}t = 2.5 ext{ min} Substituting the values, we have: ext{Average rate} = rac{4.4 imes 10^{-3}}{2.5}

Step 5

Calculate the number of moles of At₂(CO₃)₃ that remains in the flask after 2.5 minutes.

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Answer

Using the average reaction rate previously calculated, we can determine the change in moles: extΔn=extAveragerateimesextΔt=4.4imes103extmolmin1imes2.5extmin=1.1imes102extmol ext{Δ}n = ext{Average rate} imes ext{Δ}t = 4.4 imes 10^{-3} ext{ mol·min}^{-1} imes 2.5 ext{ min} = 1.1 imes 10^{-2} ext{ mol} The initial amount of At₂(CO₃)₃ is 0.016 mol, so the remaining moles after the reaction is: extRemainingmoles=0.0160.011=0.005extmol ext{Remaining moles} = 0.016 - 0.011 = 0.005 ext{ mol}

Step 6

Calculate the maximum volume of CO₂(g) that can be prepared at 25 °C in Experiment I.

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Answer

Using stoichiometry, we know that 1 mole of At₂(CO₃)₃ yields 3 moles of CO₂. Given that 0.005 moles of At₂(CO₃)₃ remain: extMolesofCO2produced=0.011extmolimes3=0.033extmol ext{Moles of CO₂ produced} = 0.011 ext{ mol} imes 3 = 0.033 ext{ mol} At 25 °C and standard atmospheric conditions, the molar volume of gas is 24,000 cm³, so: extVolumeofCO2=0.033extmolimes24000extcm3/extmol=792cm3 ext{Volume of CO₂} = 0.033 ext{ mol} imes 24000 ext{ cm}^3/ ext{mol} = 792 cm^3

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