Question

Difficulty: HardIdentifying Independent, Dependent, and Controlled Variables

Researchers conducted two experiments to investigate the enzymatic activity of cellobiase, an enzyme that hydrolyzes cellobiose into glucose.

*Experiment 1*
Reaction mixtures were prepared using a fixed cellobiase concentration of 0.5 mg/mL0.5\ \text{mg/mL} and varying initial cellobiose concentrations (1.0 mM1.0\ \text{mM}, 2.5 mM2.5\ \text{mM}, 5.0 mM5.0\ \text{mM}, and 10.0 mM10.0\ \text{mM}). All mixtures were incubated at 37C37^\circ\text{C} and pH 5.0\text{pH}\ 5.0. The initial rate of glucose production (v0v_0) was measured for each mixture.

*Experiment 2*
Reaction mixtures were prepared using a constant cellobiose concentration of 5.0 mM5.0\ \text{mM} and a constant cellobiase concentration of 0.5 mg/mL0.5\ \text{mg/mL}. The mixtures were incubated at pH 5.0\text{pH}\ 5.0 under four different temperatures (25C25^\circ\text{C}, 37C37^\circ\text{C}, 50C50^\circ\text{C}, and 65C65^\circ\text{C}). The initial rate of glucose production (v0v_0) was measured for each mixture.

Based on the descriptions of both experiments, which variable served as the independent variable in Experiment 1 but was maintained as a controlled variable in Experiment 2?

  1. Initial cellobiose concentrationAnswer
  2. B
    Initial rate of glucose production (v0v_0)
  3. C
    Incubation temperature
  4. D
    Cellobiase enzyme concentration

Answer

Initial cellobiose concentration was the independent variable in Experiment 1 (varied between 1.0 mM and 10.0 mM) and was held constant as a controlled variable in Experiment 2 (fixed at 5.0 mM).
In Experiment 1, the researchers deliberately varied the initial cellobiose concentration from 1.0 mM to 10.0 mM, making it the independent variable. In Experiment 2, they fixed the initial cellobiose concentration at 5.0 mM for all temperature trials, making it a controlled variable.

Step-by-Step Solution

1
Identify the independent variable in Experiment 1
The initial cellobiose concentration was deliberately varied across four levels (1.0, 2.5, 5.0, and 10.0 mM), identifying it as the independent variable of Experiment 1.
The independent variable is the factor intentionally manipulated by the experimenters to observe its effect.
2
Examine the status of initial cellobiose concentration in Experiment 2
In Experiment 2, the cellobiose concentration was fixed at 5.0 mM for all test conditions.
Holding a parameter constant across all experimental trials converts it into a controlled variable.
3
Verify against other experimental parameters
Temperature was controlled in Experiment 1 and manipulated in Experiment 2 (the reverse condition). Cellobiase concentration was controlled in both, while glucose production rate was the dependent variable in both.
Comparing all variables ensures that initial cellobiose concentration is the only factor matching the specific condition requested.

Key Concept

Distinguishing between independent, dependent, and controlled variables across multi-experiment scientific protocols.
Estimated Time:1m 30s
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