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Zorluk: Çok zorIdentifying Independent, Dependent, and Controlled Variables

A geochemist designed an experiment to evaluate the adsorption capacity of engineered biochar for lead (Pb2+Pb^{2+}) ions in contaminated synthetic groundwater. In a series of experimental trials, the researcher systematically set the solution pH to different specific levels (4.04.0, 6.06.0, and 8.08.0) to observe its direct effect on heavy metal removal. After a 2424-hour equilibrium period, the scientist measured the final concentration of adsorbed Pb2+Pb^{2+} ions remaining on the biochar surface. Throughout all trials, the initial Pb2+Pb^{2+} concentration (50 mg/L50\text{ mg/L}), mass of biochar (0.50 g0.50\text{ g}), vessel volume (100 mL100\text{ mL}), ambient temperature (25C25^\circ\text{C}), and agitation speed (150 rpm150\text{ rpm}) were held strictly constant.

Match each experimental component listed on the left with its correct variable classification on the right.

  • The systematically varied solution pH levels (4.04.0, 6.06.0, 8.08.0)Independent Variable
  • The measured final concentration of adsorbed Pb2+Pb^{2+} ionsDependent Variable
  • The initial Pb2+Pb^{2+} concentration, biochar mass, temperature, and agitation speedControlled Variable

Cevap

The solution pH levels correlate to the Independent Variable; the final concentration of adsorbed lead ions correlates to the Dependent Variable; and the initial concentration, biochar mass, temperature, and agitation speed correlate to the Controlled Variable.
In scientific investigations, the independent variable is the condition purposefully altered by the researcher (solution pH). The dependent variable is the measured effect or outcome (final adsorbed lead ion concentration). Controlled variables are baseline factors held constant throughout all trials to ensure a fair test (initial lead concentration, biochar mass, volume, temperature, and agitation speed).

Adım Adım Çözüm

1
Identify the factor directly manipulated by the experimenter.
The researcher intentionally varied the solution pH between 4.04.0, 6.06.0, and 8.08.0.
The variable intentionally altered to observe an effect is the independent variable.
2
Identify the observed outcome or measurement collected as data.
The final concentration of adsorbed lead ions was measured after the reaction period.
The measured response caused by changing the independent variable is the dependent variable.
3
Identify parameters maintained at fixed, identical conditions across all test runs.
Initial lead concentration (50 mg/L50\text{ mg/L}), biochar mass (0.50 g0.50\text{ g}), volume (100 mL100\text{ mL}), temperature (25C25^\circ\text{C}), and agitation rate (150 rpm150\text{ rpm}) were held constant.
Factors kept unchanged to prevent confounding effects are controlled variables.

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Identifying Independent, Dependent, and Controlled Variables
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