A Vertical Tube That Is Closed at the Upper End

question 9

Essay

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 .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.

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Definitions:

Specific Performance

A legal remedy whereby a court orders a party to perform a specific act, often pertaining to fulfilling a contract.

Personal Services

Services provided directly to individuals based on personal skill or expertise.

Unique Goods

Items that are distinct or unusual in some way, often making them irreplaceable or hard to replicate.

Specific Performance

A legal remedy in contracts where a court requires a party to perform their specific duties under the contract, rather than pay damages for not fulfilling the contract.