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The text you provided is related to the calculation of gas solubility in water. It describes a system where a dry gas mixture of hydrogen (H₂), carbon monoxide (CO), and hydrogen sulfide (H₂S) is introduced into a closed absorption vessel, partially filled with water, at a temperature of 25 °C. The given problem specifies that:

1. The initial pressure in the vessel is 1.5 bar.
2. The volume ratio of the gas phase to the liquid phase is 3:1.
3. The system reaches phase equilibrium after the gas mixture is introduced and shaken.

Some assumptions include:
- The gases are ideal (ideal gas law is valid).
- There is no mutual influence on the gas solubilities.
- The amounts of the dissolved components are negligible compared to the quantity of water.

The given data includes:
- Solvent (water) properties: Density = 997 kg/m³, Molar mass = 18 kg/kmol, Vapor pressure at 25 °C = 0.032 bar.
- Gas mixture composition before absorption: Mole fraction of H₂ = 0.5, CO = 0.35, H₂S = 0.15.
- Henry’s law constants: 
   - For H₂: 71600 bar.
   - For CO: 58700 bar.
   - For H₂S: 552 bar.

The question (a) asks to:
- Calculate the pressure in the absorption vessel and the gas-phase composition after equilibrium has been reached.

### Approach:

1. **Ideal Gas Law and Total Pressure**:
   - We will need to apply the ideal gas law and Henry's law to understand the solubility of each gas in water.
   - The mole fraction of each gas in the liquid and gas phases will help determine the new gas-phase composition.

2. **Henry's Law**:
   - \( p = H \cdot c \), where \( p \) is the partial pressure, \( H \) is Henry's constant, and \( c \) is the concentration of the gas in the liquid phase.

Do you want me to proceed with detailed calculations for part (a), or would you like further explanation of the setup first? Let me know if you'd prefer to address any specific parts of this problem.

Berechnung der Gaslöslichkeit: Ein trockenes Gasgemisch aus Wasserstoff, Kohlenmonoxid und Schwefelwasserstoff wird in ein geschlossenes, zum Teil mit Wasser gefülltes Absorptionsgefäß eingeleitet. Gegeben sind Daten wie Dichte, Molmasse, Dampfdruck des Wassers, und Molenbruch der Gase sowie Henry-Konstanten. Aufgabe: Berechnen Sie den Druck im Absorptionsgefäß und die Gasphasenzusammensetzung nach der Gleichgewichtseinstellung.

This guide covers the calculation of gas solubility in water for a mixture of hydrogen, carbon monoxide, and hydrogen sulfide using Henry's Law and the Ideal Gas Law. Includes detailed steps on determining equilibrium pressure and gas-phase composition.

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