Question

An ideal otto cycle has a compression ratio of 7. at the beginning of the compression process, p, = 90 kpa, t, = 27°c, and v, = 0.004 m?. the maximum cycle temperature is 1127°c. for each repetition of the cycle, calculate the heat rejection and the net work production. also calculate the thermal efficiency and mean effective pressure for this cycle. use constant specific heats at room temperature. answers:

Answer 1

To calculate the heat rejection and net work production for each repetition of the Otto cycle, we need to use the formula for the efficiency of the Otto cycle. The thermal efficiency of the cycle can be calculated using the formula...

Step-by-step explanation:

In order to calculate the heat rejection and net work production for each repetition of the Otto cycle, we need to use the formula for the efficiency of the Otto cycle:

efficiency = 1 - (V2/V1)^(γ-1)

Where V2 is the volume at the end of the compression process and V1 is the volume at the beginning of the compression process, and γ is the specific heat ratio of the working substance.

To calculate the heat rejection, we can use the formula:

Q_reject = Q_in - W_net

Where Q_in is the heat input into the system and W_net is the net work done by the system.

The thermal efficiency of the cycle can be calculated using the formula:

efficiency = 1 - (T3 - T4)/(T2 - T1)

Where T3 is the temperature at the end of the heat addition process, T4 is the temperature at the end of the heat rejection process, T2 is the maximum cycle temperature, and T1 is the temperature at the beginning of the compression process.

The mean effective pressure (MEP) can be calculated using the formula:

MEP = (W_net/V1)