Work Done on Thermodynamic Path ABCA: 5625 J

In summary, the conversation discusses finding the work done in each segment of a gas's path from C to A, represented on a graph with vertical divisions of 2.5 multiplied by 105 Pa and horizontal divisions of 1.5 multiplied by 10-3 m3. The solution involves calculating the area under the curve, taking into account the sign of the work based on whether it is being done by the gas or on the gas.
  • #1
keemosabi
109
0

Homework Statement


The pressure and volume of a gas are changed along a path ABCA in the figure. The vertical divisions on the graph represent 2.5 multiplied by 105 Pa, and the horizontal divisions represent 1.5 multiplied by 10-3 m3. Determine the work done (including algebraic sign) in each segment of the path.
cj6_p15-10alt.gif



(c) C to A
J

The Attempt at a Solution


Isn't it just the area under the curve from C to A? Area of a trapezoid? 5625 J?
 
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  • #2
keemosabi said:

The Attempt at a Solution


Isn't it just the area under the curve from C to A? Area of a trapezoid? 5625 J?
Not quite. Is work being done by the gas or on the gas? What does this do to the sign of the area/work?

AM
 
  • #3
Andrew Mason said:
Not quite. Is work being done by the gas or on the gas? What does this do to the sign of the area/work?

AM
Ahh. I see. Since the volume is decreasing the work done by the gas is negative.

Thank you for the help.
 

FAQ: Work Done on Thermodynamic Path ABCA: 5625 J

What is thermodynamic path ABCA?

Thermodynamic path ABCA refers to a specific sequence of thermodynamic processes that occur in a system. In this case, the system undergoes a series of changes from state A to state B, then back to state A again. The path is important in understanding the work done on the system during these processes.

How is work done calculated on thermodynamic path ABCA?

The work done on a thermodynamic path ABCA can be calculated by using the formula W = ∫PdV, where P is the pressure and dV is the change in volume along the path. This integral represents the area under the pressure-volume curve for the path.

Why is the amount of work done on thermodynamic path ABCA important?

The amount of work done on thermodynamic path ABCA is important because it represents the energy transfer into or out of the system. This is a crucial factor in understanding the thermodynamic behavior of a system and its ability to perform work.

What does the value of 5625 J signify in relation to work done on thermodynamic path ABCA?

The value of 5625 J represents the amount of work done on the system along thermodynamic path ABCA. This value can also indicate the change in energy of the system, as work is a form of energy. It can also be compared to the work done on different paths to analyze the efficiency of the system.

Can the work done on thermodynamic path ABCA be negative?

Yes, the work done on thermodynamic path ABCA can be negative. This would indicate that the system is performing work on its surroundings, rather than having work done on it. This is common in systems that release energy, such as during an exothermic reaction.

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