A Vertical Tube That Is Closed at the Upper End

question 22

Short Answer

A vertical tube that is closed at the upper end and open at the lower end contains an air pocket. The open end of the tube is under the water of a lake, as shown in the figure. When the lower end of the tube is just under the surface of the lake, where the temperature is 37°C and the pressure is 1.0 × 10⁵ Pa, the air pocket occupies a volume of 630 cm³. Suppose now that the lower end of the tube is at a depth of 86 m in the lake, where the temperature is 7.0°C. What is the volume of the air pocket under these conditions? The density of the water in the lake is 1000 kg/m³.

---

Definitions:

Assumptions

Conditions or principles that are taken as true or as certain to happen, without proof, for the purpose of argument or investigation.

Factor Of Production

A resource used in the production process to generate goods and services, such as labor, land, and capital.

Output

The aggregate output of goods or services from a firm, industry, or the economy as a whole.

Academic Probation

A warning status given to students whose academic performance falls below an institution's requirement.