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

asked 2021-02-21
A system consists of 2 kg of carbon dioxide, \(\displaystyle{\left({C}{O}_{{2}}\right)}\) gas initially at state 1, where \(\displaystyle{P}{1}=\ {100}\ {k}{P}{a},{T}_{{1}}={300}\ {k}\). The system undergoes a power cycle consisting of the following processes:
Process 1-2: constant- volume to \(\displaystyle{P}_{{2}}={400}{k}{P}{a}\)
Process 2-3: expansion with \(\displaystyle{P}{V}^{{{1.28}}}\) = 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.

Answers (1)


1-2constant volume process
\(\displaystyle\text{Find }\ {t}_{{2}}\)
Since \(\displaystyle{v}_{{1}}={v}_{{2}}\)
Find \(\displaystyle{t}_{{2}}\)
2-3 is entropic process
work done=
where \(n=1.28\)
To find \(\displaystyle{t}_{{3}}\) from the below equation.
3-1 constant pressure prosses
workdone=  \(\displaystyle{m}{R}{\left({t}_{{1}}-{t}_{{3}}\right)}\)

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