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Q. 59

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 597

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Short Answer

A heat engine uses a diatomic gas that follows the cycle in FIGURE P.

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

b. Determine , and

for each of the three processes. Put your results in a FIGURE P table for easy reading.

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

a. Pressure,volume and temperature value is ,,.

b. The table of result is .

c. Work done for engine is ,thermal efficiency is .

See the step by step solution

Step by Step Solution

Step 1:  Calculation for pressure,volume and temperature (part a)

a.

From the graph ,

The pressure at state two process is adiabatic:

So,

The temperature of the ideal gas law is,

Numerically,

Step 2: Explanation (part b)

b.

The ideal gas law,

Process :

Because the process is isochoric, the work done will be zero.

The heat will be equal to the change in internal energy, which will be equal to

Process :

The heat exchanged will be zero because the process is adiabatic.

The amount of effort done on the gas will be equal to the energy change.

Process

The change in internal energy will be zero because the process is isothermic.

The heat exchanged will be equal to the work minus the heat exchanged, implying that

Step 3: Results in table format part (b) solution

b.

Table is,

Step 4: Calculation for thermal efficiency (part c)

c.

The total work done by the engine is,

The efficiency is,

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