Heat Engines and Entropy

here we have one of our engine simulators, in which we place the model on top of a breaker which is cold on top and heat coming from the bottom. The transfer of heat between the two causes the "engine" to propel. This is caused by entropy, the temperature does not raise, but there is disorder.

These are the derivations we came up with for our calculations. we found Q_C, Q_H, and work, then combined them to create an equation we needed to find the final temperature of the system.

here we asked to find the final temperature of the experiment, which we found to be 46 degrees celsius.   the Carnot engine is the most efficient engine to date, however, it can not be used in the "real world". the Equation in the picture above depicts this. here we calculated the efficiency of our engine in the first experiment.

Here we discussed the diesel engine and its cycle. In a diesel engine the pressure compresses more and thus extends adiabatic process, as shown in the shade region of the graph. When compared to a gas engine, a gas engine runs faster than a diesel engine but it is more efficient.

DIESEL CYCLE

n moles of an ideal Diatomic gas undergoes the following 4-step cycle:

1 to 2: Adiabatic  compression

2 to 3: at Constant pressure

3 to 4: Adiabatic expansion

4 to 1: constant volume.

For each “corner” of the cycle calculate P, V, T.

For each process (A to B, etc.) and for calculate Q, W, ∆U, and ∆S.

Calculate total Q, W, ∆U, and ∆S for the entire cycle.

Calculate the efficiency of the heat engine running this particular cycle.

Given: p0 = 105 N/m2

V0 = 10-3 m3

T0 = 300 K

Qin = _600_ J

V2 = 1/_15_ V0

CV = 5/2 R; CP = 7/2 R; γ = 1.4

These are some of the calculations we did for our diesel engine, which also includes the coefficient of performance.

here is our calculation for how long it would take for water to freeze, given the mass of the water and the heat energy.