How many moles of chlorine gas at 120.0°C and 26.1 bar would occupy a vessel of 31.0 L? R = 0.08314 L· bar/mol·K.

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### Ideal Gas Law Problem: Determining Moles of Chlorine Gas

#### Problem Statement:
Calculate the number of moles of chlorine gas at a temperature of 120.0°C and a pressure of 26.1 bar, occupying a vessel with a volume of 31.0 L. Use the ideal gas constant \( R = 0.08314 \, \text{L} \cdot \text{bar/mol} \cdot \text{K} \).

#### Input Section:
Enter the calculated number of moles (mol) using the on-screen keypad. The keypad includes numbers 0-9, a decimal point, and options to multiply by 10 (\( x10 \)) or clear the entry.

### Explanation:
This task involves using the ideal gas law equation:
\[ PV = nRT \]

Where:
- \( P \) = Pressure (26.1 bar)
- \( V \) = Volume (31.0 L)
- \( n \) = Number of moles
- \( R \) = Ideal gas constant (\( 0.08314 \, \text{L} \cdot \text{bar/mol} \cdot \text{K} \))
- \( T \) = Temperature (in Kelvin; convert from Celsius by adding 273.15)

The equation rearranges to solve for moles (\( n \)) as follows:
\[ n = \frac{PV}{RT} \]

#### Steps:
1. **Convert Temperature**: 
   \[ T = 120.0^\circ\text{C} + 273.15 = 393.15 \, \text{K} \]

2. **Substitute Values**:
   \[ n = \frac{26.1 \times 31.0}{0.08314 \times 393.15} \]

3. **Calculate the Result**:
   - Perform the multiplication and division to find \( n \).

Use the keypad interface to input your calculated value and verify your result.
Transcribed Image Text:### Ideal Gas Law Problem: Determining Moles of Chlorine Gas #### Problem Statement: Calculate the number of moles of chlorine gas at a temperature of 120.0°C and a pressure of 26.1 bar, occupying a vessel with a volume of 31.0 L. Use the ideal gas constant \( R = 0.08314 \, \text{L} \cdot \text{bar/mol} \cdot \text{K} \). #### Input Section: Enter the calculated number of moles (mol) using the on-screen keypad. The keypad includes numbers 0-9, a decimal point, and options to multiply by 10 (\( x10 \)) or clear the entry. ### Explanation: This task involves using the ideal gas law equation: \[ PV = nRT \] Where: - \( P \) = Pressure (26.1 bar) - \( V \) = Volume (31.0 L) - \( n \) = Number of moles - \( R \) = Ideal gas constant (\( 0.08314 \, \text{L} \cdot \text{bar/mol} \cdot \text{K} \)) - \( T \) = Temperature (in Kelvin; convert from Celsius by adding 273.15) The equation rearranges to solve for moles (\( n \)) as follows: \[ n = \frac{PV}{RT} \] #### Steps: 1. **Convert Temperature**: \[ T = 120.0^\circ\text{C} + 273.15 = 393.15 \, \text{K} \] 2. **Substitute Values**: \[ n = \frac{26.1 \times 31.0}{0.08314 \times 393.15} \] 3. **Calculate the Result**: - Perform the multiplication and division to find \( n \). Use the keypad interface to input your calculated value and verify your result.
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