How Does Pressure Change with Volume in an Isothermal Process?

In summary, an isotherm in thermodynamics is a line on a graph that represents a constant temperature and is used to illustrate the relationship between temperature and other variables in a thermodynamic system. It is significant because it helps us understand the behavior of a system at a specific temperature and make predictions about its thermodynamic properties. The main difference between isothermal and adiabatic processes is that isothermal processes occur at a constant temperature, while adiabatic processes occur without any heat transfer. Isotherms are related to the first law of thermodynamics, which states that the total energy in a closed system remains constant. An isotherm can be a straight line on a graph if the relationship between the variables being graphed is linear
  • #1
the_man
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Homework Statement



Gas temperature 30C, volume 20cm3 and pressure 2*10^5. We have isothermal change and volume goes to 27cm3, what's the change of pressure?

Homework Equations



pV=nRT

The Attempt at a Solution



(20*10^-6*2*10^5)/30 and then we get constant. p1*V1=const -> p1=const/V1
 
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  • #2
Note that the temperature must be in units of K i.e.(30 + 273).
 
  • #3
But one does not need the value of temperature. Just use PV = constant.
 

FAQ: How Does Pressure Change with Volume in an Isothermal Process?

What is an isotherm in thermodynamics?

An isotherm in thermodynamics refers to a line on a graph that represents a constant temperature. It is used to illustrate the relationship between temperature and other variables, such as pressure and volume, in a thermodynamic system.

What is the significance of an isotherm in thermodynamics?

An isotherm is significant because it helps us understand how a system behaves at a specific temperature. By analyzing isotherms, we can determine the behavior of a system under various conditions and make predictions about its thermodynamic properties.

What is the difference between isothermal and adiabatic processes?

An isothermal process occurs at a constant temperature, while an adiabatic process occurs without any heat transfer. In an isothermal process, the system's internal energy remains constant, but in an adiabatic process, the internal energy can change due to work done on or by the system.

How is the first law of thermodynamics related to isotherms?

The first law of thermodynamics states that the total energy in a closed system remains constant. This means that in an isothermal process, where the temperature remains constant, the change in internal energy is zero. This relationship is represented by the equation Q = ΔU + W, where Q is the heat added to the system, ΔU is the change in internal energy, and W is the work done on or by the system.

Can an isotherm ever be a straight line on a graph?

Yes, an isotherm can be a straight line on a graph if the relationship between the variables being graphed is linear and the temperature remains constant. For example, if the relationship between pressure and volume in a gas is described by the ideal gas law, the isotherms on a graph of pressure vs. volume would be straight lines if the temperature is held constant.

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