Question

Difficulty: MediumIdentifying Independent, Dependent, and Controlled Variables

An environmental engineer conducted an experiment to evaluate wastewater purification efficiency. She prepared three identical filtration columns containing different concentrations of activated charcoal (5 g/L5\text{ g/L}, 10 g/L10\text{ g/L}, and 15 g/L15\text{ g/L}). For all trials, she maintained a fluid temperature of 22C22^\circ\text{C}, a flow rate of 10 mL/min10\text{ mL/min}, and an initial methylene blue dye concentration of 50 mg/L50\text{ mg/L}. She recorded the time required to achieve 99%99\% decolorization of the solution in each column.

Match each experimental component on the left with its correct variable classification on the right.

  • Concentration of activated charcoal in the filtration columnIndependent variable (manipulated factor)
  • Time required to achieve 99%99\% decolorizationDependent variable (measured outcome)
  • Initial methylene blue dye concentration (50 mg/L50\text{ mg/L})Controlled variable (constant condition)

Answer

The concentration of activated charcoal is matched with Independent variable; the time required to achieve 99% decolorization is matched with Dependent variable; the initial dye concentration is matched with Controlled variable.
In experimental design, the independent variable is manipulated directly by the experimenter (activated charcoal concentration), the dependent variable is the outcome measured in response to those manipulations (time required for 99%99\% decolorization), and controlled variables are conditions held constant throughout all trials (initial dye concentration of 50 mg/L50\text{ mg/L}).

Step-by-Step Solution

1
Identify the factor intentionally altered between trials by the researcher.
The charcoal concentration changes between trials (5 g/L5\text{ g/L}, 10 g/L10\text{ g/L}, 15 g/L15\text{ g/L}), identifying it as the independent variable.
The independent variable is the condition tested or deliberately altered during an experiment.
2
Identify the factor measured to determine the experimental result.
Decolorization time is observed and recorded for each column, identifying it as the dependent variable.
The dependent variable responds to changes in the independent variable and represents the experimental measurement.
3
Identify parameters kept constant across all trials.
Initial dye concentration, fluid temperature, and flow rate are held constant, identifying them as controlled variables.
Controlled variables are held constant so that observed effects can be attributed solely to the independent variable.

Key Concept

Identifying Independent, Dependent, and Controlled Variables
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