Pi Isothermal,T P2 Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T Kelvin. The piston pushes slowly outward on an external body which matches the force momentarily at each instant so that the gas expands quasi-statically from a volume Vị to V½ at constant temperature T. The isothermal process is shown in the figure above, where the pressure p is related to the volume V by the ideal gas law as follows: pV= nRT, where R is the gas constant. Write an expression for the work W done by the gas on the external body. For n= 6 moles, T = 340 K, and V, = 3.5V1, determine the work done by the gas on the external body. The gas constant is R = 8.314 J K-1 mol-!. W =

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Isothermal,T
P2
V
Consider a cylinder with a movable piston containing n moles of an ideal gas.
The entire apparatus is immersed in a constant temperature bath of temperature T Kelvin. The piston
pushes slowly outward on an external body which matches the force momentarily at each instant so
that the gas expands quasi-statically from a volume V¡ to V2 at constant temperature T. The
isothermal process is shown in the figure above, where the pressure p is related to the volume V by
the ideal gas law as follows:
pV= nRT, where R is the gas constant.
Write an expression for the work W done by the gas on the external body.
For n= 6 moles, T = 340 K, and V2= 3.5V1, determine the work done by the gas on the external body. The gas constant is R= 8.314 J K-
mol-1.
W=
Transcribed Image Text:i Isothermal,T P2 V Consider a cylinder with a movable piston containing n moles of an ideal gas. The entire apparatus is immersed in a constant temperature bath of temperature T Kelvin. The piston pushes slowly outward on an external body which matches the force momentarily at each instant so that the gas expands quasi-statically from a volume V¡ to V2 at constant temperature T. The isothermal process is shown in the figure above, where the pressure p is related to the volume V by the ideal gas law as follows: pV= nRT, where R is the gas constant. Write an expression for the work W done by the gas on the external body. For n= 6 moles, T = 340 K, and V2= 3.5V1, determine the work done by the gas on the external body. The gas constant is R= 8.314 J K- mol-1. W=
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