A hydrostatic system consists of 0.1 moles of an ideal gas whose specific heat capacity at...

A hydrostatic system consists of 0.1 moles of an ideal gas whose specific heat capacity at constant volume, ??, is equal to 3?2 where R is the gas constant equal to 8.31 J mol–1 K–1. Its initial pressure and volume are 32 Pa and 8 m3. In its final state, the pressure is just 1 Pa and its volume increases eightfold. The particular thermodynamic process can be represented on an indicator diagram as a straight line joining the initial and final states.
(a) Determine a relationship between the pressure and the volume of the gas that represents the thermodynamic process.

(b) Establish a relationship between the temperature and the volume of the gas valid for the thermodynamic process.

(c) Determine the volume of the gas when the temperature is a maximum.

(d) Determine the temperature of the gas at the initial and final states, and the maximum temperature attained by the gas in the process.

(e) Imagine that the gas, while following the thermodynamic process outlined above, is at some arbitrary state such that its volume is V. This state is somewhere between the initial and final states. Determine the heat exchange that occurs while the gas is traversing (along the process) from the initial to the arbitrary state. Your expression should be a function of V only.

(f) With reference to part (e), determine that volume which corresponds to maximum heat exchange. Hence determine the corresponding temperature.

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genius_generous answered 1 year ago

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