Interpretation:
The discharge temperature and work produced per mole of carbon dioxide gas under the given conditions needs to be calculated
Concept Introduction:
- For an ideal gas under isentropic adiabatic conditions, the temperature and pressure are related as:
- The work done under isentropic conditions is:
The initial temperature =
Work done/mole of nitrogen = 4223.5 J
Given Information:
Inlet pressure of steam, P1 = 8. bar
Inlet Temperature of steam T1=
Outlet pressure of steam, P2 = 1.0 bar
Explanation:
In this case, carbon dioxide has been assumed to behave as an ideal gas. The discharge temperature can be deduced from equation (1) and the work done per mole of carbon dioxide can be calculated from equation (2).
The heat capacity ratio for CO2, i.e. Cp/Cv = 1.3
Calculation:
Step 1:
Calculate the discharge/final temperature, T2
Based on equation (1) we have:
Step 2:
Calculate the work done
Based on equation (2) for 1 mole of nitrogen we have:
Thus, the initial temperature =
Work done/mole of nitrogen = 4223.5 J
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