1-ft3 of air is contained in the spring-loaded piston’,

Chapter 4, Problem 56P

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QUESTION:

\(1-\mathrm{ft}^{3}\) of air is contained in the spring-loaded pistoncylinder device shown in Fig. P4-56E. The spring constant is \(5 \mathrm{lbf} / \mathrm{in}\), and the piston diameter is \(10 \mathrm{in}\). When no force is exerted by the spring on the piston, the state of the air is \(250 \mathrm{psia}\) and \(460^{\circ} \mathrm{F}\). This device is now cooled until the volume is one-half its original size. Determine the change in the specific internal energy and enthalpy of the air. Answers.

Equation Transcription:

460°F

Text Transcription:

1-ft^3

10 in

250 psia

460degree fahrenheit

Questions & Answers

QUESTION:

\(1-\mathrm{ft}^{3}\) of air is contained in the spring-loaded pistoncylinder device shown in Fig. P4-56E. The spring constant is \(5 \mathrm{lbf} / \mathrm{in}\), and the piston diameter is \(10 \mathrm{in}\). When no force is exerted by the spring on the piston, the state of the air is \(250 \mathrm{psia}\) and \(460^{\circ} \mathrm{F}\). This device is now cooled until the volume is one-half its original size. Determine the change in the specific internal energy and enthalpy of the air. Answers.

Equation Transcription:

460°F

Text Transcription:

1-ft^3

10 in

250 psia

460degree fahrenheit

ANSWER:

Step 1 of 2

The isothermal process is a thermodynamic process in which the temperature of the system remains constant. And the adiabatic process is the one in which there will be no heat exchange between the system and the surrounding.

As we compress the gas the pressure of the gas increases and so will the temperature. If it is done adiabatically, the temperature will not leave the system and will go on increasing. And thus, it will not be an isothermal process.

Hence, it is not possible to compress an ideal gas isothermally in an adiabatic piston-cylinder device.

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