**Peak Pressure in Different Cycles**

To determine which cycle produces the maximum peak pressure, we need to compare the Otto cycle, diesel cycle, and dual cycle. Let's analyze each cycle and consider the factors that influence peak pressure.

**1. Otto Cycle:**
The Otto cycle is used in spark-ignition engines, such as gasoline engines. It consists of four processes: intake, compression, combustion, and exhaust. In the intake process, air-fuel mixture is drawn into the cylinder. During compression, the mixture is compressed adiabatically. Combustion occurs at constant volume, and finally, the exhaust process removes the burned gases from the cylinder.

**2. Diesel Cycle:**
The diesel cycle is used in compression-ignition engines, such as diesel engines. It also consists of four processes: intake, compression, combustion, and exhaust. However, the key difference lies in the combustion process. In the diesel cycle, combustion occurs at constant pressure rather than constant volume.

**3. Dual Cycle:**
The dual cycle combines elements of both the Otto and diesel cycles. It consists of five processes: intake, initial compression, constant volume heat addition, expansion, and exhaust. The initial compression is adiabatic, and the heat addition process occurs at constant volume, similar to the Otto cycle. However, the expansion process is adiabatic, like the diesel cycle.

**Factors Influencing Peak Pressure:**
Several factors affect the peak pressure in an engine cycle:

1. Compression Ratio: The compression ratio is the ratio of the maximum and minimum volumes during compression. Higher compression ratios lead to higher peak pressures.

2. Initial Conditions: The initial conditions of air, such as temperature and pressure, affect the peak pressure. Higher initial temperatures and pressures result in higher peak pressures.

3. Combustion Process: The combustion process determines the rate and efficiency of energy release. Faster combustion rates and higher energy release lead to higher peak pressures.

**Comparing the Cycles:**
Based on the above factors, it can be determined that the diesel cycle generally produces higher peak pressures compared to the Otto cycle. This is due to the constant pressure combustion process in diesel engines, which allows for more efficient energy release.

The dual cycle combines features of both the Otto and diesel cycles, but the peak pressure can vary depending on the specific parameters of the cycle. Therefore, without further information about the compression ratio and initial conditions, it cannot be definitively stated whether the peak pressure in the dual cycle is higher than the diesel cycle.

**Conclusion:**
In summary, the peak pressure generated in the cycle will generally be maximum for the diesel cycle compared to the Otto cycle. However, without specific details about the compression ratio and initial conditions, it is not possible to determine whether the dual cycle produces higher peak pressure than the diesel cycle.