It seems there might be a formatting issue in your question, particularly with the symbols. However, if I understand correctly, you're asking about the adiabatic processes on a P-V diagram and trying to identify the gas for process 2.
For adiabatic processes, the relation between pressure (P) and volume (V) is given by \(PV^\gamma = \text{constant}\), where \(\gamma\) is the adiabatic index (also known as the ratio of specific heats). For monatomic ideal gases, \(\gamma\) is 5/3.
Given that process 1 is for oxygen gas, which is diatomic (\(\gamma\) is approximately 7/5), process 2 should have the same adiabatic index (\(\gamma\)).
From the options:
1. \(N_2\) (diatomic nitrogen) - \(\gamma\) is 7/5.
2. \(CO\) (carbon monoxide) - \(\gamma\) is 7/5.
3. \(He\) (helium) - \(\gamma\) is 5/3, not matching.
4. \(O_2\) (oxygen gas) - already used for process 1.
So, based on the adiabatic index, process 2 may be for \(N_2\) or \(CO\).
Answers & Comments
Answer:
It seems there might be a formatting issue in your question, particularly with the symbols. However, if I understand correctly, you're asking about the adiabatic processes on a P-V diagram and trying to identify the gas for process 2.
For adiabatic processes, the relation between pressure (P) and volume (V) is given by \(PV^\gamma = \text{constant}\), where \(\gamma\) is the adiabatic index (also known as the ratio of specific heats). For monatomic ideal gases, \(\gamma\) is 5/3.
Given that process 1 is for oxygen gas, which is diatomic (\(\gamma\) is approximately 7/5), process 2 should have the same adiabatic index (\(\gamma\)).
From the options:
1. \(N_2\) (diatomic nitrogen) - \(\gamma\) is 7/5.
2. \(CO\) (carbon monoxide) - \(\gamma\) is 7/5.
3. \(He\) (helium) - \(\gamma\) is 5/3, not matching.
4. \(O_2\) (oxygen gas) - already used for process 1.
So, based on the adiabatic index, process 2 may be for \(N_2\) or \(CO\).