Right wrong why? ### Problem Description:A 100 lbmol/h gas stream consisting of 35 mol% ammonia (NH₃) and is scrubbed with water to make a 5 mol% liquid product stream. The temperature of the absorber is 80°F, and the pressure is 14.7 psia (1 atm). The diagram below shows the unit operation which is a single equilibrium stage. Perform a Degrees of Freedom (DOF) analysis to show that the system is solvable, and calculate the flow rates and compositions of all streams. Equilibrium data is provided in the table below:- **Vapor pressure NH₃ (5 mol% in water, T = 80°F):** 37.2 mmHg- **Vapor pressure water (T = 80°F):** 26.2 mmHg### Diagram:- **Absorber setup:** - Input stream: gas (y₁=0.35 NH₃) at rate 100 lbmol/h - Output streams: vapor containing air and NH₃; liquid containing NH₃ and water### Variables and Constraints:- **Variables:** - Flow (2) - Composition (2) - Performance (1) - Material Balances (1) - **Total Variables = 6**- **Constraints:** - Composition (equilibrium constraint) - Performance - Material Balances - **Total Constraints = 3**### Equations and Calculations:**Raoult’s Law:**1. **For water (Y₀):** \[ P \cdot Y_{H₂O} = P (1 - X_{NH₃}) \] \[ \Rightarrow Y_{H₂O} = \left(\frac{26.2}{760}\right) (1-0.05) = 0.0324 \]2. **For NH₃ (Y₁):** \[ Y_{t} = 1 - 0.00245 - 0.0327 = 0.965 \] \[ N_{1} = (1 - Y_{NH₃₃}) \cdot N_{4} \cdot Y_{A,4} \] \[ N_{1} = 100 \times \ **Transcription and Explanation for Educational Website**---**Flow Rate Calculation:**\[ \Rightarrow 696.6 \, \text{lbmol/h} \]---**Stream Descriptions:**1. **Stream 2:** - Assume pure water; no composition specified.2. **Stream 1:** - Completely defined with composition and flow rate.3. **Stream 4:** - Unknown... What is leaving here?4. **Stream 3:** - Composition is given; flow rate is not specified.---**Key Questions:**- **5mol%**: Is this a performance parameter?- Do we need to compute the H₂O material balance?- How does the equilibrium relationship play into the Degrees of Freedom (DOF)?- What is the overall material balance?- Is **35mol%** a composition parameter?This section outlines the essential queries and variables involved in analyzing material streams in a process system. Understanding and addressing these components is crucial for accurate system modeling and optimization.

Given Feed=100 lb mol/hr T=80℉ P=14.7 Pa s Vapor pressure NH3=37.2 mmHg Vapor pressure H2O=26.2 mm Hg Find DOF Flow rate and composition of all streams means N1,N2,N3,N4 and yNH3yair,ywater Stream4 components,overall material balanceGiven Feed=100 lb mol/hr T=80℉ P=14.7 Pa s Vapor pressure NH3=37.2 mmHg Vapor pressure H2O=26.2 mm Hg Degree of freedom analysis Total number of variables=5 (NH3 in 4 stream and water concentration) Total no of equation=5(3 component of solute and 2 equilibrium equation) DOF=Number of variables-Number of equation =5-5 =0 Flow rate and compositions By using Raoult's law Again by using Raoult’s law Thus Hence air balance Ammonia balances Finally water balance Question Stream-4 Vapor outlet that is remaining mixture of air and ammonia Yes we need water balance to find stream 2 flow rate(already done in solution) Equilibrium relationship is used to find number of equation which is further useful to find DOF Overall material balanceANSWER 1-DOF=0 2- N1 100 N2 664.0695 lbmol/hr N3 696.698 lbmol/hr N4 67.37 lbmol/hr yNH3 0.00245 yair 0.9648 ywater 0.03275