A) Find w12, the work done on the gas as it expands from state 1 to state 2. Express the work done in terms of Po and…
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Question “A) Find w12, the work done on the gas as it expands from state 1 to state 2. Express the work done in terms of Po and…”
A) Find w12, the work done on the gas as it expands from state 1 to
state 2.
Express the work done in terms of Po and Vo
B) Find W23 , the work done on the gas as it cools from state 2 to
state 3.
Express your answer in terms of Po and Vo.
C) Find W34, the work done on the gas as it is compressed from
state 3 to state 4.
Express your answer in terms of Po and Vo.
D) Find W41, the work done on the gas as it is heated from state 4
to state 1.
Express your answer in terms of Po and Vo .
E)What is Wnet, the total work done on the gas during one
cycle?
Express your answer in terms of Po and Vo .
F) When the gas is in state 1, its temperature is T1. Find the
temperature T3 of the gas when it is in state 3. (Keep in mind that
this is an ideal gas.)
Express T3 in terms of T1.
The diagram shows the pressure and volume of an ideal gas during
one cycle of an engine. As the gas proceeds from state 1 to state
2, it is heated at constant pressure. It is then cooled at constant
volume, until it reaches state 3. The gas is then cooled at
constant pressure to state 4. Finally, the gas is heated at
constant volume until it returns to state 1.
This problem was solved by the use of a thermodynamic process as well as an ideal gas equation.
Find the area below the P– V curve to find the work done on gas from states 1 through 2. State 2 to state 3. State 3 to sate 4. And state 4 to state 1. Add all the work done, i.e.
to find the total amount of work that was done on the gas in one cycle.
The last part of the equation is ideal gas equation. Find temperature for state 3.
Fundamentals
Here is the equation of state for ideal gas:
Here, P is pressure, V is volume, n the number of moles and R is universal gas constant. T is temperature of ideal gas.
Calculate the work that gas does in a thermodynamic process by using:
Gas’s work depends on its initial and final states, as well as the path.
(A)
Calculated as follows:
Substitute
for
and
for
.
is required to replace
in the equation.
(B)
Calculated as follows:
During the transition from state 2 to 3 the volume of the gas remains constant. Substitute 0 for DV.
The gas is therefore cooled from state 2 to 3 at a temperature of 0.
(C)
According to the following calculation, the work on the gas from states 3 and 4 was:
Substitute
for
and
for
.
is required to replace
in the equation.
(D)
According to the following calculation, the work on the gas from states 4 to 1 was:
During the transition from state 4 to 1., the volume of the gas remains constant. Substitute 0 for DV.
The gas cools down from state 4 to 1 at a temperature of 0.
(E)
One cycle of gas work is:
Substitute
for
,
for
, 0 for
and
.
(F)
The following formula calculates the temperature at which the gas is in its state 1:
Above is the solution for “A) Find w12, the work done on the gas as it expands from state 1 to state 2. Express the work done in terms of Po and…“. We hope that you find a good answer and gain the knowledge about this topic of science.
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