2. Substance A (a pure substance) is known to be in vapor-liquid equilibrium at T = 50 °C and p = 0.08 bar. The following companies claim to also find substance A in vapor-liquid equilibrium at: Company 1: p = 0.1 bar Company 2: p = 0.01 bar Company 3 p = 0.08 bar Which company or companies claims must be false and why. T = 323 K T = 60 °C T = 60 °C

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**Vapor-Liquid Equilibrium Problem Analysis**

Substance A, a pure substance, is known to be in vapor-liquid equilibrium at a temperature of 50°C and a pressure of 0.08 bar. 

The following companies claim to also find Substance A in vapor-liquid equilibrium under different conditions:

- **Company 1:**
  - Temperature: 323 K
  - Pressure: 0.1 bar

- **Company 2:**
  - Temperature: 60°C
  - Pressure: 0.01 bar

- **Company 3:**
  - Temperature: 60°C
  - Pressure: 0.08 bar

**Question:**
Which company or companies' claims must be false, and why?

**Explanation:**

To determine the validity of each company's claim, we compare their stated conditions to the known equilibrium state of Substance A (50°C, 0.08 bar). 

- **Company 1** reports conditions in Kelvin. We convert 323 K to Celsius: 323 K - 273.15 = 49.85°C. At 49.85°C, a pressure of 0.1 bar is reasonably close to the provided data, but not an exact match, indicating possible inaccuracy.
  
- **Company 2** claims 60°C and 0.01 bar. The temperature is higher than 50°C, but the pressure is significantly lower, making this an unlikely state for vapor-liquid equilibrium.

- **Company 3** states 60°C and 0.08 bar, slightly higher in temperature than the known equilibrium, but matching the pressure, suggesting a plausible state close to equilibrium.

**Conclusion:**
Company 2's claim is most likely false, as the pressure of 0.01 bar at 60°C is much lower than expected for similar equilibrium conditions, given the known data at 50°C and 0.08 bar.
Transcribed Image Text:**Vapor-Liquid Equilibrium Problem Analysis** Substance A, a pure substance, is known to be in vapor-liquid equilibrium at a temperature of 50°C and a pressure of 0.08 bar. The following companies claim to also find Substance A in vapor-liquid equilibrium under different conditions: - **Company 1:** - Temperature: 323 K - Pressure: 0.1 bar - **Company 2:** - Temperature: 60°C - Pressure: 0.01 bar - **Company 3:** - Temperature: 60°C - Pressure: 0.08 bar **Question:** Which company or companies' claims must be false, and why? **Explanation:** To determine the validity of each company's claim, we compare their stated conditions to the known equilibrium state of Substance A (50°C, 0.08 bar). - **Company 1** reports conditions in Kelvin. We convert 323 K to Celsius: 323 K - 273.15 = 49.85°C. At 49.85°C, a pressure of 0.1 bar is reasonably close to the provided data, but not an exact match, indicating possible inaccuracy. - **Company 2** claims 60°C and 0.01 bar. The temperature is higher than 50°C, but the pressure is significantly lower, making this an unlikely state for vapor-liquid equilibrium. - **Company 3** states 60°C and 0.08 bar, slightly higher in temperature than the known equilibrium, but matching the pressure, suggesting a plausible state close to equilibrium. **Conclusion:** Company 2's claim is most likely false, as the pressure of 0.01 bar at 60°C is much lower than expected for similar equilibrium conditions, given the known data at 50°C and 0.08 bar.
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