## 19 July 2011

### Otto Cycle and Diesel Cycle Review Problems

Reviewer for Quiz #2 on Thermodynamics with Solutions

Topic: Otto Cycle and Diesel Cycle
Course: Thermodynamics 2
Professor: Engr. Rogelio Almira
Reference: Thermodynamics 1 by Hipolito B. Sta. Maria

1. An ideal Otto engine, operating on the hot-air standard with k = 1.34, has a compression ratio of 5. At the beginning of compression the volume is 6 cu ft, the pressure is 13.75 psia and the temperature is 100F. During the constant-volume heating, 340 Btu are added per cycle. Find: i. c, ii. T3, iii. p3, iv. e, v. pm.

2. An ideal Otto cycle engine with 15% clearance operates on .227 kg/s of air; intake state is 100.58 kPa, 37.7C. The energy released during combustion is 110 kJ/s. For hot-air standard with k = 1.32, compute: i. p, V, and T at each corner, ii. W, iii. e and pm.

3. In an ideal Diesel engine compression is from 14.7 psia, 80F, 1.43 cu ft to 500 psia. Then 16 Btu/cycle are added as heat. Make computations for cold-air standard and find i. T2, V2, T3, V3, T4, and p4, ii. W, iii. e and pm, and iv. hp for 300cycles/min.

4. For an ideal Diesel cycle with the overall value of k = 1.33, rk = 15, rc = 2.1, p1 = 97.9 kPa, find i. p2 and ii. pm.

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11. Problem 3.4 - A frictionless piston-cylinder device contains 0.2 kg of air at 100 kPa and 27°C. The air is now compressed slowly according to the relation P Vk = constant, where k = 1.4, until it reaches a final temperature of 77°C.

a) Sketch the P-V diagram of the process with respect to the relevant constant temperature lines, and indicate the work done on this diagram.
b) Using the basic definition of boundary work done determine the boundary work done during the process [-7.18 kJ].
c) Using the energy equation determine the heat transferred during the process [0 kJ], and verify that the process is in fact adiabatic.

Derive all equations used starting with the basic energy equation for a non-flow system, the equation for internal energy change for an ideal gas (Δu), the basic equation for boundary work done, and the ideal gas equation of state [P.V = m.R.T]. Use values of specific heat capacity defined at 300K for the entire process.

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13. pls can u solve this...
the Mep of an ideal diesel cycle is 758.4kpaa. if p=93 kpaa , rk=12.5, and the overall value of k is 1.32. find the cut-off ratio, rc. thanks

14. pls can u solve this...
the Mep of an ideal diesel cycle is 758.4kpaa. if p=93 kpaa , rk=12.5, and the overall value of k is 1.32. find the cut-off ratio, rc. thanks

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17. Hi what's your solution in number 2? It's missing

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