Question

Difficulty: Very hardIdentifying Independent, Dependent, and Controlled Variables

Researchers conducted a two-part investigation to evaluate the enzymatic degradation of polyethylene microplastics by a specialized bacterial strain (*Pseudomonas sp.*).

Experiment 1: Five identical culture flasks were filled with equal volumes of liquid mineral medium and 50.0 mg50.0\text{ mg} of standardized polyethylene film. Each flask was incubated at a different constant temperature (20C20^\circ\text{C}, 25C25^\circ\text{C}, 30C30^\circ\text{C}, 35C35^\circ\text{C}, or 40C40^\circ\text{C}) while maintaining a fixed agitation speed of 150 rpm150\text{ rpm} and a constant pH\text{pH} of 7.27.2. After 14 days, the percentage mass loss of the polyethylene film was measured for each flask.

Experiment 2: Using the optimal incubation temperature identified in Experiment 1 (35C35^\circ\text{C}), five new flasks were prepared with identical initial media and 50.0 mg50.0\text{ mg} of polyethylene film. In this phase, the agitation speed was varied across the flasks (50 rpm50\text{ rpm}, 100 rpm100\text{ rpm}, 150 rpm150\text{ rpm}, 200 rpm200\text{ rpm}, and 250 rpm250\text{ rpm}) while keeping temperature, pH\text{pH}, and incubation time constant. After 14 days, the percentage mass loss of the polyethylene film was measured.

Across both experiments, which of the following correctly categorizes the role of the 150 rpm150\text{ rpm} agitation speed in Experiment 1 and the role of the percentage mass loss of polyethylene in Experiment 2?

  1. Controlled variable in Experiment 1; dependent variable in Experiment 2Answer
  2. B
    Independent variable in Experiment 1; dependent variable in Experiment 2
  3. C
    Controlled variable in Experiment 1; independent variable in Experiment 2
  4. D
    Dependent variable in Experiment 1; controlled variable in Experiment 2

Answer

The 150 rpm agitation speed served as a controlled variable in Experiment 1, and the percentage mass loss of polyethylene served as the dependent variable in Experiment 2.
In Experiment 1, temperature was the independent variable (deliberately varied), while agitation speed was kept constant at 150 rpm150\text{ rpm} across all treatment groups to ensure a fair test, making it a controlled variable. In Experiment 2, agitation speed became the independent variable, and the resulting percentage mass loss of polyethylene was measured as the outcome, making percentage mass loss the dependent variable.

Step-by-Step Solution

1
Analyze the role of 150 rpm agitation speed in Experiment 1
In Experiment 1, the researchers deliberately varied the temperature across flasks while holding the agitation speed fixed at 150 rpm for all flasks.
A parameter kept constant across all test conditions so that it does not influence the outcome is defined as a controlled variable.
2
Analyze the role of percentage mass loss in Experiment 2
In Experiment 2, the researchers manipulated agitation speed and measured the resulting percentage mass loss after 14 days.
The factor that is observed and measured to quantify the effect of the manipulated factor is defined as the dependent variable.
3
Combine the classifications to select the matching option
Agitation speed (150 rpm) in Experiment 1 is a controlled variable, and percentage mass loss in Experiment 2 is a dependent variable.
Comparing both classifications directly aligns with the option stating 'Controlled variable in Experiment 1; dependent variable in Experiment 2'.

Key Concept

Independent variables are intentionally manipulated by the researcher; dependent variables are measured outcomes; controlled variables are kept constant to prevent confounding effects.
Estimated Time:1m 30s
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