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Question 4
A student carried out an experiment to find the temperature rise for a reaction between hydrochloric acid and sodium hydroxide solution. - The student used a measur... show full transcript
Step 1
Answer
To plot the graph, use the given time (min) on the x-axis and temperature (°C) on the y-axis. Each point from Table 3 will be plotted: (0, 19.8), (1, 19.8), (2, 19.8), (3, 19.8), (4, 21.1), (5, 21.6), (6, 21.5), (7, 21.4), (8, 21.3), (9, 21.2), (10, 21.1), (11, 21.0), (12, 21.1). Draw the lines of best fit between the first four points (0 to 3 min) and then again through the points from (4 to 12 min). The temperature rise, ΔT, at the fourth minute is calculated as follows: ΔT = Temperature at 4 min - Temperature at 3 min = 21.1 °C - 19.8 °C = 1.3 °C.
Step 2
Answer
To calculate the percentage uncertainty in the temperature rise, first note that the uncertainty in the thermometer readings is ±0.1 °C. The formula for percentage uncertainty is:
ext{Percentage Uncertainty} = rac{ ext{Uncertainty}}{ ext{Value}} imes 100
In this case:
ext{Percentage Uncertainty} = rac{0.1}{1.3} imes 100 ext{ = 7.69 ext{ extperthousand} }
Step 3
Step 4
Answer
Another change to decrease the percentage uncertainty could be to increase the magnitude of the temperature change being measured. A larger temperature change results in a higher signal-to-noise ratio, leading to more precise measurements.
Step 5
Answer
The balanced equation for the reaction between ethanoic acid (HOOC(CHOH)) and potassium hydroxide (KOH) is:
To calculate the enthalpy change (ΔH) per mole of water formed, first calculate the heat (q) absorbed using the formula:
Where:
Thus, q = 100 g imes 4.2 rac{J}{g imes K} imes 3.2 K = 1344 J
Now, for 0.080 mol of ethanoic acid used: The enthalpy change per mole of water formed is given by
Where n = 0.025 mol (since the reaction produces 1 mole of water for every mole of acid used), leading to:
Step 6
Answer
The difference in enthalpy values can be explained by the strength of the acids involved. Strong acids like sulfuric acid fully dissociate in solution, releasing more energy during the neutralization process compared to weaker acids like ethanoic acid, which do not fully dissociate. Therefore, different acid strengths lead to varying enthalpy changes during neutralization.
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