Question

During an experimental test, gas in a cylinder undergoes an expansion and moves a piston. Pressure and volume data taken during the test is given in the table below. Find the thermodynamic work performed by the gas in the cylinder in the process of expanding from a volume of 0.50 liters to 1.20 liters. Use all of the data in the table in calculating the work.

Volume (liters) |
Pressure (kPa) |

0.50 | 1400 |

0.60 | 1090 |

0.70 | 875 |

0.80 | 725 |

0.90 | 615 |

1.00 | 560 |

1.10 | 525 |

1.20 | 500 |

Step 1

The gas in the cylinder expands and this expansion results in movement of the piston. The work is done by the gas on the system hence the expansion process will result in negative work.

From the given data, the curve fitting equation is to be determined. The curve fitting equation comes out to be

Step 2

The curve fitting equation suggests that the process is polytropic where the ratio of specific heats has the value of 1.213 and the constant has the value of 577.61

The work done by the gas on the piston can be calculated as

Step 3

Integrating the equation obtained from the curve fitting...

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