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Problem 1 Otto Cycle (60 points)

Use an air-standard Otto cycle to model a 4-cylinder engine. At the beginning of compression, the

cylinder volume is 0.55L, the pressure is 98 kPa, and the temperature is 290 K. Copyright © 2023 Scott D

Sawyer. All rights reserved. This material may not be reproduced, distributed, transmitted, displayed,

published, or broadcast, in whole or in part, without the prior written permission of Scott D Sawyer. Any

unauthorized use of this material is a violation of copyright law and will be pursued to the limit of civil

and criminal penalties.

At the end of compression, the cylinder volume is 0.046L. The temperature at the end of the combustion

process is 2700 K. Use the specific heat ratio k = 1.4, and gas constant R = 287;

kg.K

Draw a schematic of the cylinder showing the volume at TDC, BDC, and displacement.

Draw the cycle on T-s diagram

Identify the 4 processes of the cycle

Determine:

(a) The compression ratio

(b) The engine displacement

(c) The temperature at the end of compression T₂

(d) The specific heat input qu (kJ/kg)

(e) The temperature at the end of the power stroke T4

(f) The specific heat loss q (kJ/kg)

(g) The specific work per cycle Wnet (kJ/kg)

(h) The mass of air in the cylinder (kg)

(i) The power produced by the engine at 8,500 rpm

Fig: 1