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Date: 21-9-2020
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Isothermal Expansion of an Ideal Gas
If we have one mole of an ideal gas in our cylinder, and keep the temperature constant at a temperature T1 , then the gas will obey the ideal gas equation.
pV = RT1 = constant .........(1)
Thus the equation for the pressure of an ideal gas during an isothermal expansion is
p = constant/V .......(2)
and we see that the pressure decreases as 1/V. This decrease is shown in the pV diagram of Figure (1).
Figure 1: In the isothermal expansion of an ideal gas, we have pV = constant. Thus the pressure decreases as 1/V.
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