Thermodynamics: P-V diagram question

In summary, the problem involves finding the volume of a monoatomic ideal gas during a linear process that goes from an exothermic to an endothermic state. The equation for the process is given by P/po+V/vo=1, where P is pressure, V is volume, Po is the pressure at nearly 0 volume, and Vo is the volume at negligible pressure. The relevant parameters include the pressure-volume work, dU, and dQ, and the temperature function U. The attempt at a solution involved trying to maximize the temperature function, but was unsuccessful.
  • #1
physics_pi_rate
4
1

Homework Statement


A monoatomic ideal gas undergoes a linear process whose equation is given by P/po+V/vo=1. find the volume when the process turns from an exothermic to an endothermic one. P-Pressure V-volume
Po= pressure when volume is nearly 0 and Vo is the volume when pressure is negligible.
i couldn't upload the P-V diagram hence I've given the suitable equation for the curve(straight line with intercept Po and Vo) and the relevant parameters.

Homework Equations


dU+ w=dQ.
U is a function of temperature only
w is the pressure-volume work of the gas [/B]

The Attempt at a Solution


i tried to maximize the temperature function but nothing was working :cry:
 
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  • #2
physics_pi_rate said:
i tried to maximize the temperature function but nothing was working
Our rules do not allow the helpers to help unless you show your attempt. What you said is not enough.
 
  • #3
physics_pi_rate said:
i tried to maximize the temperature function
Why? What does that have to do with the process being endothermic or exothermic?
 

FAQ: Thermodynamics: P-V diagram question

What is a P-V diagram and how is it used in thermodynamics?

A P-V diagram, also known as a pressure-volume diagram, is a graphical representation of the relationship between pressure and volume in a thermodynamic system. It is used to visualize changes in pressure and volume as a system undergoes a thermodynamic process.

How do you interpret a P-V diagram?

In a P-V diagram, the pressure is represented on the y-axis and the volume is represented on the x-axis. The slope of a line on the diagram represents the ratio of pressure to volume, known as the system's specific volume. The area under the curve of a process on the diagram represents the work done by the system.

What are the different types of processes represented on a P-V diagram?

There are four main types of processes represented on a P-V diagram: isobaric (constant pressure), isochoric (constant volume), isothermal (constant temperature), and adiabatic (no heat exchange). Each process is characterized by a specific shape on the diagram.

How does the first law of thermodynamics apply to a P-V diagram?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted. This applies to a P-V diagram in the sense that the total area under the curve representing a process is equal to the change in energy of the system.

How can a P-V diagram be used to determine the efficiency of a thermodynamic system?

A P-V diagram can be used to determine the efficiency of a thermodynamic system by comparing the work done by the system to the energy supplied to the system. The efficiency can be calculated by dividing the work done by the energy supplied and multiplying by 100%.

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