A system consists of 2 kg of carbon dioxide, (CO_2) gas initially at state 1, where P1=\ 100\ kPa,T_1=300\ k. The system undergoes a power cycle consi

postillan4

postillan4

Answered question

2021-02-21

A system consists of 2 kg of carbon dioxide, (CO2) gas initially at state 1, where P1= 100 kPa,T1=300 k. The system undergoes a power cycle consisting of the following processes:
Process 1-2: constant- volume to P2=400kPa
Process 2-3: expansion with PV1.28 = constant
Process 3-1: constant-pressure compression
Assuming ideal gas model and neglecting kinetic and potentialenergy effects,
Sketch the cycle on a P-V diagram.
Calculate the work and the heat transfer for each process.

Answer & Explanation

bahaistag

bahaistag

Skilled2021-02-22Added 100 answers

image
STEP:1
p1=100kpa
t1=300k
1-2constant volume process
workdone=zero
STEP: 2
p2=400k
Find  t2
p1v1t1=p2v2t2
Since v1=v2
Find t2
STEP: 3
2-3 is entropic process
work done=
mR(T2T3)1n
where n=1.28
STEP: 4
To find t3 from the below equation.
(T1T3)=(p1p2)nn1
STEP: 5
3-1 constant pressure prosses
workdone=  mR(t1t3)

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