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Kazeer [188]
3 years ago
6

The pressure and temperature at the beginning of compression of a cold air-standard Diesel cycle are 100 kPa and 300K, respectiv

ely. At the end of the heat addition, the pressure is 7.2 MPa and the temperature is 2250 K. Assume constant specific heats evaluated at 300 K. Determine the cut-off ratio. There is a +/- 5% tolerance.

Engineering
1 answer:
hram777 [196]3 years ago
6 0

Answer:

Cut off ratio=2.38

Explanation:

Given that

T_1=300K

P_1=100KPa

P_2=P_3=7200KPa

T_3=2250K

Lets take T_1 is the temperature at the end of compression process

For air γ=1.4

\dfrac{T_2}{T_1}=\left(\dfrac{P_2}{P_1}\right)^{\dfrac{\gamma -1}{\gamma}}

\dfrac{T_2}{300}=\left(\dfrac{7200}{100}\right)^{\dfrac{1.4-1}{1.4}}

T_2=1070K

At constant pressure

\dfrac{T_3}{T_2}=\dfrac{V_3}{V_2}

\dfrac{2550}{1070}=\dfrac{V_3}{V_2}

\dfrac{V_3}{V_2}=2.83

So cut off ratio

cut\ off\ ratio =\dfrac{V_3}{V_2}

Cut off ratio=2.38

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Answer:

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b)Yes

c)Work =0

Explanation:

Isochoric process:

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In constant volume process work done on the system or work done by the system will remain zero .Because we know that work done give as

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Where P is pressure and ΔV is the change in volume.

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