Chapter 14: Q. 16 (page 384)

A $6.00 - c m$ -diameter sphere with a mass of $89.3 g$ is neutrally buoyant in a liquid. Identify the liquid.

Short Answer

Expert verified

In Ethanol, $6 c m$ diameter sphere with a mass of $89.3 g$ is neutrally beyond.

Step by step solution

Ethanol.

Ethanol is a plant-based fuel manufactured from corn and other plants.

Ethanol is widely used, with ethanol present in more than $98$ a percent of gasoline sold in the United States. $E 10$ is the most prevalent ethanol blend ( $10$ percent ethanol, $90$ percent gasoline)

The density.

We must identify the liquid by determining its density in this scenario.

The weight of a sphere is equal to the buoyant force acting on a body since it is neutrally buoyant. The density can be expressed as follows based on this equality:

$m g = ρ g V \Rightarrow ρ = \frac{m}{(\frac{4}{3} π R^{3})} = \frac{m}{\frac{4}{3} π {(\frac{D}{2})}^{3}} = \frac{6 m}{π D^{3}}$

Find the liquid.

We have created our own values by substituting our own values.

$ρ = \frac{6 \times 0.0893}{π \times 0 . 06^{3}}$

$= 790 k g / m^{3}$

We can see from the data that Ethanol has a density of 790kg/m, $C_{2} H_{5} O H$

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A $6.00 - c m$ -diameter sphere with a mass of $89.3 g$ is neutrally buoyant in a liquid. Identify the liquid.

Short Answer

Step by step solution

Ethanol.

The density.

Find the liquid.

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Study anywhere. Anytime. Across all devices.

A 6.00-cm-diameter sphere with a mass of89.3g is neutrally buoyant in a liquid. Identify the liquid.

Short Answer

Step by step solution

Ethanol.

The density.

Find the liquid.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Scientific Method Physics

Thermodynamics

Wave Optics

Turning Points in Physics

Waves Physics

Linear Momentum

Study anywhere. Anytime. Across all devices.

A $6.00 - c m$ -diameter sphere with a mass of $89.3 g$ is neutrally buoyant in a liquid. Identify the liquid.