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The cycle of FIGURE EX 21.10consists of four processes. Make a table with rows labeled Ato Dand columns labeled ∆Eth, Ws, and Q. Fill each box in the table with +,-, or 0to indicate whether the quantity increases, decreases, or stays the same during that process.

Short Answer

Expert verified

Result can be found taking into consideration that the processes are isochoric, adiabatic, isothermal and isobaric from A to D respectively.

Step by step solution

01

Introduction

Isochoric process, also known as constant-volume process, in thermodynamics, is a thermodynamic process in which the volume of the closed system remains constant. In the figure A is the isochoric process. D is the isobaric process . In this process, pressure remains constant. In B , which is a adiabatic process , no heat is given to the system and no heat is extracted . In isothermal process C , temperature and hence internal energy of the system remains constant.

02

Explanation

In isochoric process , work done by gas is zero because of fixed volume. Pressure increases due to addition of heat . In isobaric process D , volume decreases , so work done is negative, Volume decreases due to cooling , hence internal energy decreases . In adiabatic process , Q is zero . Volume increases so work done is positive . In isothermal process , internal energy remains constant because of constant temperature and as volume increases , work done is positive due to addition of heat.

Taking this into consideration we can construct the following table:

03

The cycle processes

The findings are summarized by considering the isochoric, adiabatic, isothermic, and isobaric processes.

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Most popular questions from this chapter

The FIGURE shows the Diesel cycle. It is similar to the Otto cycle (see Problem), but there are two important differences. First, the fuel is not admitted until the air is fully compressed at point 2. Because of the high temperature at the end of adiabatic compression, the fuel begins to burn spontaneously. (There are no spark plugs in a diesel engine!) Second, combustion takes place more slowly, with fuel continuing to be injected. This makes the ignition stage a constant-pressure process. The cycle shown, for one cylinder of a diesel engine, has a displacement localid="1650278379201" Vmax-Vminof localid="1650278390412" 1000cm3and a compression ratio localid="1650278397535" r=Vmax/Vmin=21These are typical values for a diesel truck. The engine operates with intake air localid="1650278425123" (γ=1.40)at localid="1650278430754" 25°Cand localid="1650278435051" 1.0atmpressure. The quantity of fuel injected into the cylinder has a heat of combustion of localid="1650278440305" 1000J.

a. Find p, V, and Tat each of the four corners of the cycle. Display your results in a table.

b. What is the network done by the cylinder during one full cycle?

c. What is the thermal efficiency of this engine?

d. What is the power output in kW and horsepower (1hp=746W)of an eight-cylinder diesel engine running at 2400rpm?

A uniform rod of length L oscillates as a pendulum about a ALC pivot that is a distance x from the center.

a. For what value of x, in terms of L, is the oscillation period a minimum?

b. What is the minimum oscillation period of a 15kg,1.0-m-long steel bar?

A heat engine using a monatomic gas follows the cycle shown in FIGURE P21.58.

a. Find Ws,Q, and Δ·¡thfor each process in the cycle. Display your results in a table.

b. What is the thermal efficiency of this heat engine?

FIGURE P21.35 shows a heat engine going through one cycle. The gas is diatomic. The masses are such that when the pin is removed, in steps 3and 6, the piston does not move.

a. Draw the p-vdiagram for this heat engine.

b. How much work is done per cycle?

c. What is this engine’s thermal efficiency?

A heat engine uses a diatomic gas that follows the pVcycle in FIGURE P21.59.

a. Determine the pressure, volume, and temperature at point2.

b. Determine Δ·¡th,Ws, and

p(kPa)Qfor each of the three processes. Put your results in a FIGURE P21.59table for easy reading.

c. How much work does this engine do per cycle and what is its thermal efficiency?

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