In: Physics
2) An ideal gas cycle operates via the following 4
stages:
1→2 The gas is compressed adiabatically
2→3 The gas is ignited and heated at constant pressure
3→4 The gas expands adiabatically
4→1 Heat is removed from the gas at constant pressure
a) Draw the cycle on a pressure-volume diagram, labelling the
states
1, 2, 3, and 4 and showing where heat enters the cycle and
where
heat is removed from the cycle. Identify the highest pressure
phigh
and lowest pressure plow in the cycle on the diagram.
[4 marks]
b) Calculate Qin, Qout, and Wnet of the cycle per unit mole of
a
monoatomic working-fluid gas if T1 = 300 K, T2 = 600 K, T3 = 800
K,
and T4 = 400 K.
[6 marks]
c) Derive the following expression for the efficiency of the cycle
in
terms of pressure ratio rp = phigh/plow.
?௧ = 1 − ?
ቀ
ଵିఊ
ఊ
ቁ
[10 marks]
d) Briefly explain three ways by which the efficiency of the cycle
can
be improved.
[3 marks]
e) For fixed values of T1 and T3, prove that the net amount of
work
produced is maximum at the pressure ratio given below:
? = ቀ
்య
்భ
ቁ
ം
మ(ംషభ)
[7 marks]
Sorry that i won't be able to answer the rest of the question due to lack of clarity in the question.
I Hope this was helpful to some extent,
Thank You.