A pneumatic shock absorber consists of a cylinder with aradius of 1.50 cm and a length that varies from a maximum of 30.0 cmto a minimum of 30.0 cm/v, where v is the compression ratio. Forease of manufacturing, v must be an integer. When the cylinder isfully extended and cooled, the air inside has an ambient pressure of101 kPa and ambient temperature of 30.0C. A quick adiabatic compressionheats the air. The cylinder then expands isothermally untilit reaches its maximum length. At that time the length remains fixedand the cylinder cools isochorically, returning to the ambient temperature. If the air temperature cannot exceed 400C, what is the maximum integer value of v?

A pneumatic shock absorber consists of a cylinder with aradius of 1.50 cm and a length that varies from a maximum of 30.0 cmto a minimum of 30.0 cm/v, where v is the compression ratio. Forease of manufacturing, v must be an integer. When the cylinder isfully extended and cooled, the air inside has an ambient pressure of101 kPa and ambient temperature of 30.0C. A quick adiabatic compressionheats the air. The cylinder then expands isothermally untilit reaches its maximum length. At that time the length remains fixedand the cylinder cools isochorically, returning to the ambient temperature. If the air temperature cannot exceed 400C, what is the maximum integer value of v?