Question

Difficulty: HardIdentifying Independent, Dependent, and Controlled Variables

A team of atmospheric chemists investigated photochemical smog formation by measuring ozone (O3O_3) production in a sealed 10 m310\text{ m}^3 environmental chamber. Across five experimental trials, the researchers systematically varied the ultraviolet (UV) light irradiance level (2020, 4040, 6060, 8080, and 100 W/m2100\text{ W/m}^2). In all trials, chamber temperature (25C25^\circ\text{C}), relative humidity (50%50\%), and initial concentrations of nitrogen dioxide (NO2NO_2, 0.5 ppm0.5\text{ ppm}) and volatile organic compounds (VOCsVOCs, 2.0 ppm2.0\text{ ppm}) were held constant. The rate of O3O_3 concentration accumulation was recorded over a 60-minute period.

Match each experimental component to its correct variable classification.

  • Ultraviolet (UV) light irradiance level (20100 W/m220\text{--}100\text{ W/m}^2)Independent Variable
  • Rate of O3O_3 concentration accumulation after 60 minutesDependent Variable
  • Chamber temperature (25C25^\circ\text{C}) and initial NO2NO_2 concentration (0.5 ppm0.5\text{ ppm})Controlled Variable

Answer

Ultraviolet light irradiance corresponds to the Independent Variable, rate of ozone accumulation corresponds to the Dependent Variable, and chamber temperature along with initial reactant concentrations correspond to Controlled Variables.
In experimental design, the independent variable is the condition deliberately manipulated by the researcher (UV irradiance), the dependent variable is the measured effect resulting from that manipulation (ozone accumulation rate), and controlled variables are background factors held constant across all conditions (chamber temperature and initial reactant concentrations).

Step-by-Step Solution

1
Identify the factor directly manipulated by the experimenter across trials.
The UV light irradiance level was adjusted between 20 W/m220\text{ W/m}^2 and 100 W/m2100\text{ W/m}^2.
The variable intentionally varied to test its influence is the independent variable.
2
Identify the factor measured as a result of the experimental manipulation.
The accumulation rate of O3O_3 was observed and recorded.
The outcome measured by researchers that responds to changes in the independent variable is the dependent variable.
3
Identify the environmental parameters kept invariant throughout the experiment.
Temperature (25C25^\circ\text{C}), humidity (50%50\%), and initial NO2NO_2/VOCVOC levels were held unchanged across all trials.
Factors kept constant to eliminate confounding influences are controlled variables.

Key Concept

Classification of Independent, Dependent, and Controlled Variables in Controlled Experiments
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