Question

Difficulty: MediumIdentifying Independent, Dependent, and Controlled Variables

A student performed an experiment to study the catalytic decomposition of hydrogen peroxide (H2O2H_2O_2). In 5 separate trials, the student added 5 mL5\text{ mL} of a ferric nitrate (Fe(NO3)3Fe(NO_3)_3) solution of varying concentrations (0.1 M0.1\text{ M}, 0.2 M0.2\text{ M}, 0.3 M0.3\text{ M}, 0.4 M0.4\text{ M}, and 0.5 M0.5\text{ M}) to 50 mL50\text{ mL} of 3% H2O23\%\text{ }H_2O_2 solution in a sealed reaction flask connected to a gas syringe. The initial temperature of all solutions was maintained at 22C22^\circ\text{C}. For each trial, the volume of oxygen gas (O2O_2) produced in the first 30 seconds30\text{ seconds} was recorded to determine the initial reaction rate.

Based on the experimental procedure described, which of the following was the independent variable in the student's experiment?

  1. Concentration of the ferric nitrate solutionAnswer
  2. B
    Volume of oxygen gas produced in the first 30 seconds30\text{ seconds}
  3. C
    Initial temperature of the reaction solutions
  4. D
    Volume of hydrogen peroxide solution added to the flask

Answer

The concentration of the ferric nitrate solution is the independent variable because it is the factor purposefully altered across trials by the researcher.
The correct answer identifies the concentration of the ferric nitrate solution because it is the factor purposefully manipulated across the 5 trials (0.1 M0.1\text{ M} to 0.5 M0.5\text{ M}) to observe its effect on the rate of gas production.

Step-by-Step Solution

1
Identify the variable manipulated by the experimenter across trials.
The concentration of ferric nitrate (Fe(NO3)3Fe(NO_3)_3) was systematically varied from 0.1 M0.1\text{ M} to 0.5 M0.5\text{ M}.
The independent variable is the factor directly and intentionally changed by the investigator.
2
Distinguish the independent variable from the dependent variable and controlled variables.
The volume of O2O_2 produced is the dependent variable (measured outcome), while temperature and H2O2H_2O_2 volume are controlled variables (held constant).
A clear separation of experimental roles is necessary to establish cause-and-effect relationships.

Key Concept

Independent vs. Dependent vs. Controlled Variables
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