Question

Difficulty: MediumIdentifying Independent, Dependent, and Controlled Variables

A team of environmental engineers conducted an experiment to evaluate how varying concentrations of copper sulfate (CuSO4\text{CuSO}_4) in water affect the photosynthetic rate of *Chlorella vulgaris* algae. Four identical 500 mL500\text{ mL} glass bioreactors were prepared with equal initial algal cell densities. Each bioreactor received a different concentration of CuSO4\text{CuSO}_4 (0.0 mg/L0.0\text{ mg/L}, 0.5 mg/L0.5\text{ mg/L}, 1.0 mg/L1.0\text{ mg/L}, and 1.5 mg/L1.5\text{ mg/L}). All bioreactors were maintained at a constant temperature of 22C22^\circ\text{C} and exposed to continuous artificial light of 150 μmolm2s1150\text{ }\mu\text{mol}\cdot\text{m}^{-2}\cdot\text{s}^{-1} for 72 hours. At the end of the trial, the total dissolved oxygen produced (mg/L\text{mg/L}) was measured to quantify the photosynthetic rate of the algae.

Which of the following identifies the dependent variable in this experiment?

  1. The total dissolved oxygen produced by the algaeAnswer
  2. B
    The concentration of CuSO4\text{CuSO}_4 added to the bioreactors
  3. C
    The temperature of the bioreactors
  4. D
    The initial cell density of *Chlorella vulgaris*

Answer

The total dissolved oxygen produced by the algae is the dependent variable.
The dependent variable in a scientific experiment is the variable observed and measured to assess the effect of the treatment. In this investigation, the researchers measured total dissolved oxygen production to quantify photosynthetic rate in response to varying copper sulfate concentrations.

Step-by-Step Solution

1
Identify the factor intentionally altered or varied by the researcher.
The concentration of CuSO4\text{CuSO}_4 (0.0 mg/L0.0\text{ mg/L} to 1.5 mg/L1.5\text{ mg/L}) is systematically changed, identifying it as the independent variable.
The independent variable is the cause or manipulated input.
2
Identify the factors intentionally kept identical across all experimental setups.
Temperature (22C22^\circ\text{C}), light intensity (150 μmolm2s1150\text{ }\mu\text{mol}\cdot\text{m}^{-2}\cdot\text{s}^{-1}), bioreactor volume (500 mL500\text{ mL}), trial duration (72 hours72\text{ hours}), and initial cell density are all controlled variables.
Controlled variables ensure a fair test by keeping confounding factors constant.
3
Identify the response parameter measured to assess the effect of the independent variable.
The total dissolved oxygen produced (mg/L\text{mg/L}) is measured to determine the rate of photosynthesis, making it the dependent variable.
The dependent variable represents the effect or measured output of the experiment.

Key Concept

In an experiment, the independent variable is manipulated by the researcher, the dependent variable is the measured outcome, and controlled variables are kept constant to ensure valid results.
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