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Zorluk: OrtaIdentifying Independent, Dependent, and Controlled Variables

Atmospheric scientists conducted an experiment to evaluate how varying the ambient relative humidity (RH\text{RH}, measured as a percentage) influences the crystallization time (in seconds) of acoustically levitated ammonium sulfate ((NH4)2SO4(\text{NH}_4)_2\text{SO}_4) microdroplets. Throughout all trials, the ambient temperature was held constant at 20.0C20.0^\circ\text{C} and the initial droplet radius was held constant at 5.0μm5.0\,\mu\text{m}.

Match each experimental component from the investigation to its corresponding variable classification.

  • Ambient relative humidity (RH\text{RH})Independent Variable
  • Microdroplet crystallization timeDependent Variable
  • Initial droplet radius (5.0μm5.0\,\mu\text{m}) and temperature (20.0C20.0^\circ\text{C})Controlled Variables

Cevap

Ambient relative humidity matches Independent Variable; Microdroplet crystallization time matches Dependent Variable; Initial droplet radius (5.0μm5.0\,\mu\text{m}) and temperature (20.0C20.0^\circ\text{C}) match Controlled Variables.
In experimental design, the independent variable is the factor explicitly manipulated by researchers (ambient relative humidity). The dependent variable is the outcome measured in response to that manipulation (microdroplet crystallization time). Controlled variables are baseline conditions held constant throughout all trials (initial droplet radius and ambient temperature) to ensure observed differences stem solely from the independent variable.

Adım Adım Çözüm

1
Determine which factor is manipulated by the experimenter (Independent Variable).
The ambient relative humidity (RH\text{RH}) is intentionally varied across trials.
The independent variable is the condition systematically changed to test its effect.
2
Determine which factor is measured as the experimental outcome (Dependent Variable).
The crystallization time of the microdroplets is measured in response to humidity changes.
The dependent variable is the quantitative response observed during the experiment.
3
Determine which factors are kept identical across all test conditions (Controlled Variables).
Initial droplet radius (5.0μm5.0\,\mu\text{m}) and ambient temperature (20.0C20.0^\circ\text{C}) are held constant.
Controlled variables are fixed to isolate the relationship between independent and dependent variables.

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Identifying Independent, Dependent, and Controlled Variables
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