An aquatic organism needs to be neutrally buoyant to stay at a constant depth. Fish accomplish this with an internal swim bladder they can fill with air that they take in from the water through their gills. One complication is that the pressure in the swim bladder matches that of the surrounding water, but the water pressure changes with depth. Because the volume of a gas is inversely proportional to pressure (as you may already know if you have studied the ideal-gas law), the volume of air in a fish's swim bladder decreases with depth unless the fish actively adds more air. Part A Consider a 3.9 kg freshwater fish whose tissues have an average density of 1050 kg/m³. To what volume in mL must the swim bladder be inflated for the fish to be neutrally buoyant at the surface? Express your answer in milliliters to two significant figures. AV = Submit [VD ΑΣΦ Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining ? mL

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### Understanding Buoyancy in Aquatic Organisms

**Concept Overview:**
An aquatic organism needs to be neutrally buoyant to maintain a constant depth in water. Fish achieve this through an internal organ called a swim bladder, which they fill with air from the water via their gills. The pressure inside the swim bladder adjusts to the pressure changes in the surrounding water as the fish changes depth. According to the ideal gas law, the volume of a gas is inversely proportional to pressure. Therefore, unless the fish actively adds more air, the volume of air in the swim bladder decreases with increased depth.

**Problem Statement:**
Consider a 3.9 kg freshwater fish with tissues averaging a density of 1050 kg/m³. What volume (in milliliters) must the swim bladder have for the fish to remain neutrally buoyant at the surface?

**Instructions:**
- Express your answer in milliliters, rounded to two significant figures.
  
**Interactive Component:**
- Enter the value for the volume of the swim bladder (ΔV) in the provided box.
- Click "Submit" to check your answer.

**Note:**
Attempts remaining: 5

Remember that the understanding of this concept is crucial in fields such as marine biology and physics, as it illustrates how organisms adapt to their environments.
Transcribed Image Text:### Understanding Buoyancy in Aquatic Organisms **Concept Overview:** An aquatic organism needs to be neutrally buoyant to maintain a constant depth in water. Fish achieve this through an internal organ called a swim bladder, which they fill with air from the water via their gills. The pressure inside the swim bladder adjusts to the pressure changes in the surrounding water as the fish changes depth. According to the ideal gas law, the volume of a gas is inversely proportional to pressure. Therefore, unless the fish actively adds more air, the volume of air in the swim bladder decreases with increased depth. **Problem Statement:** Consider a 3.9 kg freshwater fish with tissues averaging a density of 1050 kg/m³. What volume (in milliliters) must the swim bladder have for the fish to remain neutrally buoyant at the surface? **Instructions:** - Express your answer in milliliters, rounded to two significant figures. **Interactive Component:** - Enter the value for the volume of the swim bladder (ΔV) in the provided box. - Click "Submit" to check your answer. **Note:** Attempts remaining: 5 Remember that the understanding of this concept is crucial in fields such as marine biology and physics, as it illustrates how organisms adapt to their environments.
Expert Solution
Step 1: Given:-


The mass of the fish m = 3.9 kg 

The tissue has an average density of  1050 kg/m3


Find:-

a) What is the volume in mL must the swim bladder be inflated for the fish to be neutrally buoyant at the surface? 



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