Final answer:
To solve this problem, we need to utilize the equations and principles of the air-standard diesel cycle. We can calculate the temperature after the heat-addition process, the thermal efficiency, and the mean effective pressure using the given values of compression ratio and cutoff ratio.
Step-by-step explanation:
To solve this problem, we need to use the equations and principles of the air-standard diesel cycle.
Given a compression ratio of 16 and a cutoff ratio of 2, we can calculate the intermediate pressures and temperatures using the equations for the adiabatic compression and expansion of an ideal gas.
First, we find the pressure and temperature at state B using the formula:
TB = TA * (r)(γ-1)
PB = PA * (r)γ
where TA and PA are the initial temperature and pressure, r is the compression ratio, and γ is the ratio of specific heats.
Then, we find the pressure and temperature at state D using the formula:
TD = TC / (r)(γ-1)
PD = PC / (r)γ
where TC and PC are the temperature and pressure at state C.
Finally, we can calculate the temperature after the heat-addition process using the formula:
TX = TC + ((γ-1)(TB-TX))/(γ*ηV)
where TX is the temperature after the heat-addition process and ηV is the volumetric efficiency.
The thermal efficiency can be calculated using the formula:
ηth = 1 - (1/(r))(γ-1)
Finally, the mean effective pressure can be calculated using the formula:
MEP = (ηth * PA * V1)/(V3-V1)