The paths ABC, AC , and ADC represent three different quasi-static transitions between the equilibrium states A and C . Check Your Understanding How much work is done by gas, as given in Figure 3.6, when it expands quasi-statically along the path ADC ?
The paths ABC, AC , and ADC represent three different quasi-static transitions between the equilibrium states A and C . Check Your Understanding How much work is done by gas, as given in Figure 3.6, when it expands quasi-statically along the path ADC ?
An ideal monatomic gas is contained in a cylinder with a
movable piston so that the gas can do work on the outside
world, and heat can be added or removed as necessary.
(Figure 1) shows various paths that the gas might take in
expanding from an initial state whose pressure, volume, and
temperature are po, Vo, and To respectively. The gas
expands to a state with final volume 4V. For some answers
it will be convenient to generalize your results by using the
variable R₂ = Vfinal/Vinitial, which is the ratio of final to
initial volumes (equal to 4 for the expansions shown in the
figure.)
The figure shows several possible paths of the system in the
pV plane. Although there are an infinite number of paths
possible, several of those shown are special because one of
their state variables remains constant during the expansion.
These have the following names:
Adiabatic: No heat is added or removed during
the expansion.
● Isobaric: The pressure remains constant during
the expansion.
●
•…
In Figure 1, we have a box of gas that contains a paddle which, whenturned, does work on the surroundings. The box initially has a partition,and one mole of gas is contained only on one side. When the partition isbroken, the gas will move to occupy the entire box. The gas is heated suchthat it has a constant temperature. (hint: Assume the gas is an ideal gas.For such a gas, its internal energy is a function purely of its temperatureand not its volume and pressure.)a) How much work will the gas do on the surroundings?b) How much heat did it add to the gas during this process?c) What is the gain in entropy of the system?d) The entropy increase is the loss of energy per unit temperature that isavailable to do work. The amount of energy that is no longer available todo work is Q = ST. After this process, how much heat will be available to1do work? Does your answer make physical sense? How much work couldbe done, thinking about this conceptually, after this process?
The attached images have 3 parts, solve those 3 parts and also because of limited images to upload, this is the 4th part, iam typing here:
Calculate the total change in entropy for entire system, in J/K.
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
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