Question

4 The cycle in fig. 3 represents the operation of a gasoline internal combustion engine. Volume $V_3 = 4.00V_1$. Assume the gasoline-air intake mixture is an ideal gas ($PV = nRT$) with $\gamma = \frac{C_p}{C_v} = 1.30$. Remember that an adiabatic process can be represented by the polytropic 1 process $PV^\gamma = C$, where $C$ is a constant. Use an integral to compute the work done by the engin from state 2 to state 3 divided by $CV_1^{1-\gamma}$, i.e. compute $\frac{W}{CV_1^{1-\gamma}}$. 2 $3.00p_1$ Adiabatic 3 Pressure Spark 1 Intake Adiabatic 4 $V_1$ Volume $V_3$ Figura 3: Problem 4.

          4
The cycle in fig. 3 represents the operation of a gasoline internal combustion engine. Volume
$V_3 = 4.00V_1$. Assume the gasoline-air intake mixture is an ideal gas ($PV = nRT$) with
$\gamma = \frac{C_p}{C_v} = 1.30$. Remember that an adiabatic process can be represented by the polytropic
1
process $PV^\gamma = C$, where $C$ is a constant. Use an integral to compute the work done by the
engin from state 2 to state 3 divided by $CV_1^{1-\gamma}$, i.e. compute $\frac{W}{CV_1^{1-\gamma}}$.
2
$3.00p_1$
Adiabatic
3
Pressure
Spark
1
Intake
Adiabatic
4
$V_1$
Volume
$V_3$
Figura 3: Problem 4.

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4
The cycle in fig. 3 represents the operation of a gasoline internal combustion engine. Volume
V3 = 4.00V1. Assume the gasoline-air intake mixture is an ideal gas (PV = nRT) with
γ = (Cp)/(Cv) = 1.30. Remember that an adiabatic process can be represented by the polytropic
1
process PV^γ = C, where C is a constant. Use an integral to compute the work done by the
engin from state 2 to state 3 divided by CV1^1-γ, i.e. compute (W)/(CV1^1-γ).
2
3.00p1
Adiabatic
3
Pressure
Spark
1
Intake
Adiabatic
4
V1
Volume
V3
Figura 3: Problem 4.

Added by Brenda G.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

11/13/2022

Step 1

Since it is an adiabatic process, we can use the polytropic process equation PV^γ = C, where γ = Cp/Cv = 1.30. Show more…

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4 The cycle in fig. 3 represents the operation of a gasoline internal combustion engine. Volume V_(3)=4.00V_(1). Assume the gasoline-air intake mixture is an ideal gas (PV=nRT) with gamma =(C_(p))/(C_(V))=1.30. Remember that an adiabatic process can be represented by the polytropic process PV^(gamma )=C, where C is a constant. Use an integral to compute the work done by the engine from state 2 to state 3 divided by CV_(1)^(1-gamma ), i.e. compute (W)/(CV^(1-gamma )). Figura 3: rrobiem 4. 4 The cycle in fig. 3 represents the operation of a gasoline internal combustion engine. Volume V3 = 4.00V. Assume the gasoline-air intake mixture is an ideal gas (PV = nRT) with 1 process PV = C, where C is a constant. Use an integral to compute the work done by the M 3.00p1 Adiabatic 3 pi Spark Pressure Intake Adiabatic 4 Vi Vs Volume Figura 3: Problem 4.

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