Identifying Sources of Error
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ACT Science › Identifying Sources of Error
In a chemistry lab, a student measures the concentration of a solution but uses impure solvents. The concentration results would most likely:
be lower than expected.
be higher than expected.
show increased variability.
be unaffected by impurities.
Explanation
Using impure solvents would cause concentration measurements to show increased variability because the impurities introduce unknown factors that can affect the measurement process in unpredictable ways. Different impurities can interfere with analytical methods in various ways - some may absorb light at measurement wavelengths, others may react with the analyte, and still others may affect solution properties like pH or ionic strength. Since the identity and concentration of impurities likely varies between different batches of solvent or even within the same container over time, the interference effects will be inconsistent from trial to trial. This random variation in measurement conditions translates to random error in the concentration results, causing them to scatter rather than showing systematic bias.
Which error would most likely cause an overestimation of the specific heat capacity of a metal in an experiment?
Incorrectly measuring the initial temperature.
Using a thermometer with a slow response time.
Using impure metal samples.
Allowing heat to escape to the surroundings.
Explanation
Allowing heat to escape to the surroundings would cause an overestimation of specific heat capacity because the metal would appear to require more energy to achieve the same temperature change. When heat escapes, the observed temperature rise of the metal is less than expected for the energy input, making the metal seem to have a higher heat capacity than it actually possesses. The specific heat calculation divides energy input by the temperature change, so a smaller temperature change due to heat loss results in a larger calculated specific heat value. Other errors like incorrect initial temperature measurement or slow thermometer response would affect results differently without specifically causing overestimation.
In an experiment measuring reaction rates, a catalyst is used, but it's stored in a container with other chemicals. If contamination occurs, the measured reaction rate would most likely:
remain unaffected by contamination.
decrease due to inhibitor presence.
vary unpredictably due to unknown interactions.
increase due to enhanced reaction conditions.
Explanation
Contamination of the catalyst with unknown chemicals would introduce unpredictable effects on the measured reaction rate due to unknown chemical interactions. The contaminants could act as additional catalysts, inhibitors, or create side reactions, and without knowing the identity and concentration of these contaminants, it's impossible to predict whether they will increase or decrease the reaction rate. Different contaminants might have opposing effects, and their concentrations could vary between experiments, leading to inconsistent and unpredictable results. This creates a situation where the measured reaction rate could vary significantly and erratically from trial to trial, making it impossible to determine the true catalytic effect of the intended catalyst.
In an experiment evaluating enzyme activity, the pH of the solution is not controlled. The enzyme activity results would most likely:
show increased variability.
increase due to optimal pH shifts.
decrease due to enzyme denaturation.
remain consistent across trials.
Explanation
Not controlling pH would cause enzyme activity results to show increased variability because enzymes are highly sensitive to pH changes, and different pH values will yield different activity levels across trials. Each enzyme has an optimal pH range where it functions best, and activity typically decreases significantly as pH moves away from this optimum due to changes in enzyme shape and charge distribution. Without pH control, the solution pH could vary randomly between trials due to factors like CO2 absorption from air, slight contamination, or buffer depletion, causing enzyme activity to fluctuate unpredictably. This creates random error where some trials occur at near-optimal pH (high activity) while others occur at suboptimal pH (lower activity), resulting in scattered data rather than consistent measurements.
During a titration experiment, if the burette readings are consistently read from below eye level, the measured concentration of the solution would most likely:
Be higher than the actual concentration.
Be lower than the actual concentration.
Remain unaffected.
Show increased variability.
Explanation
Reading burette levels from below eye level creates a systematic error due to parallax, where the meniscus appears higher than its actual position. This causes the experimenter to consistently record larger volumes than actually dispensed, leading to an overestimation of the titrant volume used. Since concentration calculations involve dividing by the volume of titrant, overestimating this volume results in calculating a higher concentration than the true value. This systematic bias affects all readings in the same direction, distinguishing it from random measurement errors.
The variability in the results of a pendulum period experiment was most likely caused by:
Using a heavier bob.
Air currents in the room.
Inaccurate length measurement.
Measuring time with a stopwatch.
Explanation
Air currents in the room would cause the most variability in pendulum period results because they introduce random external forces that vary unpredictably during the experiment. These air movements create irregular disturbances to the pendulum's motion, causing the period to vary randomly from trial to trial rather than following consistent patterns. This adds random error that increases the spread of measured values around the true period. While inaccurate length measurement would create systematic error and using different bob masses would change the setup, these factors wouldn't cause the trial-to-trial variability that characterizes the described results.
A researcher uses a stopwatch to time a reaction that lasts approximately 2 seconds and records the time to the nearest hundredth of a second. If human reaction time affects the start and stop of the timing, the measured reaction time would most likely:
have no effect on the measured time
vary randomly around the actual time
be longer than the actual reaction time
be shorter than the actual reaction time
Explanation
Human reaction time affects both the start and stop of timing, introducing random error that causes measurements to vary unpredictably around the actual reaction time. The researcher's reflexes will sometimes be faster and sometimes slower when pressing the stopwatch, and these delays don't consistently favor either starting too early/late or stopping too early/late. This creates variability where some measurements will be slightly longer than the actual time and others slightly shorter, with the errors being random rather than systematic. The effect is particularly noticeable for short reactions like 2 seconds, where human reaction time (typically 0.1-0.3 seconds) represents a significant fraction of the total measured time.
To determine the speed of sound, an experimenter used an echo method. Procedure: (1) Stand 50.0 m from a large wall (distance measured with a measuring tape). (2) Clap two wooden blocks together and start a stopwatch at the clap. (3) Stop the stopwatch when the echo is heard. (4) Compute speed as $v=2d/t$. The experiment was done outdoors on a windy day; wind direction changed during trials. The experimenter also sometimes anticipated the echo and stopped the stopwatch early. Expected result: similar speeds across trials near 340 m/s. The variability in the calculated speeds was most likely caused by:
Standing 50.0 m away, which guarantees the echo time is long enough to remove reaction-time error entirely.
Computing $v=2d/t$, which always doubles the true speed and creates a systematic error.
Using a measuring tape, which has perfect accuracy and eliminates all distance uncertainty.
Wind changes, which alter sound travel time inconsistently and therefore create random variation in measured speed.
Explanation
Wind changes create the most significant source of variability by altering sound travel time inconsistently across trials. Wind can either aid or oppose sound transmission, causing the sound to travel faster or slower than in still air, which directly affects the measured echo time and calculated speed. Since wind direction and speed vary unpredictably during outdoor trials, this creates random variation in the calculated speeds that is much larger than other potential error sources. The wind effect on sound transmission is the primary factor causing trial-to-trial differences in measured sound speed.
An experimenter investigated how light intensity affects photosynthesis using aquatic plants. Steps: (1) Place equal-length plant sprigs in four beakers of water with baking soda. (2) Position a lamp at distances of 10 cm, 20 cm, 30 cm, and 40 cm. (3) After 2 minutes, count oxygen bubbles produced in 1 minute for each beaker. (4) Repeat twice. The lamp warmed the nearest beaker noticeably, and room lights were turned on and off as people entered. Bubble counting was done by eye, and some bubbles merged before reaching the surface. Expected pattern: closer lamp produces more bubbles. Which factor is the most significant source of error in this procedure?
Lamp heating the nearest beaker, changing temperature and confounding light intensity with reaction rate.
Counting bubbles by eye, which creates a constant offset but does not affect comparisons across distances.
Repeating twice, which doubles systematic error and makes the trend appear stronger than it is.
Using baking soda, which prevents photosynthesis by removing dissolved carbon dioxide.
Explanation
Lamp heating of the nearest beaker creates the most significant error source by changing temperature and confounding light intensity with reaction rate effects. The heat from the lamp raises the water temperature in the closest beaker, increasing the metabolic rate and photosynthesis rate due to temperature effects rather than just light intensity. This creates systematic bias because the nearest beaker experiences both maximum light intensity and elevated temperature, making it impossible to determine whether increased bubble production results from light or heat. The confounding of these two variables fundamentally compromises the experimental design.
A student measured the concentration of a sugar solution using a hydrometer. Steps: (1) Pour solution into a tall cylinder. (2) Lower the hydrometer gently until it floats freely. (3) Read the scale at the liquid surface and record specific gravity. (4) Repeat for three solutions. The student read the scale from slightly above the meniscus, and bubbles sometimes stuck to the hydrometer stem. The solutions were at different temperatures because some were freshly mixed with warm water. Expected pattern: higher sugar concentration gives higher specific gravity. Which procedural error would have the greatest effect on the results?
Reading from slightly above the meniscus, causing tiny random parallax errors that cancel across solutions.
Repeating three times, which introduces extra error compared with taking a single careful reading.
Using a tall cylinder, which increases specific gravity by increasing hydrostatic pressure.
Different solution temperatures, changing density and causing systematic differences unrelated to sugar concentration.
Explanation
Different solution temperatures create the most significant error source by changing fluid density independently of sugar concentration. Since hydrometer readings depend on the density difference between the solution and the hydrometer's calibrated density scale, temperature variations cause systematic density changes that are unrelated to sugar content. Warmer solutions have lower density than cooler ones, leading to systematically different specific gravity readings even for identical sugar concentrations. This temperature effect introduces systematic bias that can easily overwhelm the sugar concentration effect being measured.