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How do you determine if a process is isothermal or adiabatic?

Posted on August 31, 2022 by Author

How do you determine if a process is isothermal or adiabatic?

If there is just one curve present, you can just quickly pick two points (i.e. two pairs of and ) on the curve and see if , which is true for an isotherm. If not, it’s an adiabatic, because that is the only option left. In an isothermal process, the temperature is constant.

How do you know if a curve is adiabatic?

The curve showing the relation between pressure and volume of a given mass of gas when the flow of heat into or out of the gas is stopped is called its adiabatic curve. If isothermal and adiabatic curves be plotted on the same p–v diagram (Fig. 8.4), then the adiabatic curve would be steeper than the isothermal curve.

How can you tell the difference between an adiabatic and isothermal process on a graph?

The major difference between these two types of processes is that in the adiabatic process, there is no transfer of heat towards or from the liquid which is considered. Where on the other hand, in the isothermal process, there is a transfer of heat to the surroundings in order to make the overall temperature constant.

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Is pressure constant in adiabatic process?

Adiabatic expansion is defined as an ideal behaviour for a closed system, in which the pressure is constant and the temperature is decreasing.

Which curve has a greater slope representing an isothermal or adiabatic process?

To reach a same height in a longer distance means lower slope of the line. Hence Adiabatic curve is more steeper than Isothermal curve. In-fact, the steepness of Adiabatic curve is times steeper than Isothermal curve.

Why is the PV curve for adiabatic?

In an adiabatic expansion as there is no heat loss or gain to or from the surroundings (q=0) the energy needed for the work of expansion against the external pressure must come from the internal energy of the gas. This results in a lowering of the temperature. A curve of reversible adiabatic p vs.

What is Q in an isothermal process?

In other words, in an isothermal process, the value ΔT = 0 but Q ≠ 0, while in an adiabatic process, ΔT ≠ 0 but Q = 0.

Can adiabatic and isothermal curves intersect?

Among other things, it signifies the fact that adiabatic curves drop faster than isothermal curves (for ideal gas: P=constV for isothermal processes and P=constVγ, where γ>1, for adiabatic processes) and, as a result, any adiabatic curve will cross any isothermal curve exactly at one point.

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Why is PV curve for adiabatic process steeper than that for isothermal process?

The adiabatic curve is steeper than the isothermal curve, in both the processes of expansion and compression. To reach a same height in a longer distance means lower slope of the line. Hence adiabatic curve is more steeper than isothermal curve.

Which factor determines the difference between isothermal and adiabatic elasticity?

As per the thermodynamic terminology, in the adiabatic process, there is no exchange of heat from the system to its surroundings neither during expansion nor during compression. Whereas in the isothermal process, the temperature remains constant throughout the work.

Can the adiabatic curve lie on top of the isothermal curve?

No. Adiabatic expansion, which involves no heat flow into or out of the system, has a change in temperature under a defined profile. Therefore, the adiabatic curve cannot lie on top of the isothermal curve. The coincidence is possible only if the isothermal and adiabatic process starts or ends at same pressure and volume.

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What is the P-V curve of isothermal process?

The isothermal process is represented by a P-V curve at constant temperature. As pressure changes and volume changes within a closed system, heat is being added to or removed from the system and/or work is being done by or to the system which will affect the temperature of the gas enclosed.

How do you find the area under a pressure curve?

Since the graph of pressure versus volume is not a linear relationship, the area under the curve is most accurately determined using integral calculus. To avoid having to get the equation for the curve and integrating it between two points along the x-axis, we will choose a section of the graph that is as close to a straight line as possible.

What does the area under the pressure versus volume graph represent?

In our experiment, pressure and volume data were collected and plotted on a pressure versus volume graph. The area under the curve is the work done by the force provided by gravity and the weights on the piston. Work was done on the gas, which is positive.

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