plus) [References] Isopropyl alcohol is the main ingredient in rubbing alcohol. It can decompose into acetone (the main ingredient in nail polish remover) and hydrogen gas according to the following reaction: C3H,OH(g) = C2H,CO(g)+ H2(g) At 180°C, the equilibrium constant for the decomposition is 0.45. If 43 mL (d = 0.785 g/mL) of isopropyl alcohol is placed in a 2.0 L vessel and heated to 180°C, what percentage remains undissociated at equilibrium?

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**Chemical Decomposition of Isopropyl Alcohol**

**Introduction**

Isopropyl alcohol is the main ingredient in rubbing alcohol. It can decompose into acetone (the main ingredient in nail polish remover) and hydrogen gas according to the following reaction:

\[ \text{C}_3\text{H}_7\text{OH}(g) \rightarrow \text{C}_2\text{H}_6\text{CO}(g) + \text{H}_2(g) \]

**Problem Statement**

At 180°C, the equilibrium constant for the decomposition is 0.45. If 43 mL (density = 0.785 g/mL) of isopropyl alcohol is placed in a 2.0 L vessel and heated to 180°C, what percentage remains undissociated at equilibrium?

**Solution Approach**

To solve this problem, you'll need to follow these steps:
 
1. **Determine the initial moles of isopropyl alcohol:**
    - Calculate the mass of isopropyl alcohol using its volume and density.
    - Use the molecular weight of isopropyl alcohol to convert mass to moles.

2. **Set up the ICE (Initial, Change, Equilibrium) table:**
    - Write initial concentrations.
    - Express changes in concentration in terms of a variable.
    - Write equilibrium concentrations in terms of the initial concentrations and the variable.

3. **Apply the equilibrium constant expression:**
    - Substitute the equilibrium concentrations into the expression for the equilibrium constant and solve for the variable.

4. **Calculate the percentage of isopropyl alcohol that remains undissociated:**
    - Use the obtained values to determine the undissociated part and convert it to a percentage.

This detailed approach ensures that you correctly determine how much of the isopropyl alcohol remains undissociated at the given conditions.

**Interactive Component**

- **Submit Answer:** Click this button to submit your calculated answer.
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**Note:** This problem tests the understanding of chemical equilibrium concepts and the ability to apply them to a practical scenario.
Transcribed Image Text:**Chemical Decomposition of Isopropyl Alcohol** **Introduction** Isopropyl alcohol is the main ingredient in rubbing alcohol. It can decompose into acetone (the main ingredient in nail polish remover) and hydrogen gas according to the following reaction: \[ \text{C}_3\text{H}_7\text{OH}(g) \rightarrow \text{C}_2\text{H}_6\text{CO}(g) + \text{H}_2(g) \] **Problem Statement** At 180°C, the equilibrium constant for the decomposition is 0.45. If 43 mL (density = 0.785 g/mL) of isopropyl alcohol is placed in a 2.0 L vessel and heated to 180°C, what percentage remains undissociated at equilibrium? **Solution Approach** To solve this problem, you'll need to follow these steps: 1. **Determine the initial moles of isopropyl alcohol:** - Calculate the mass of isopropyl alcohol using its volume and density. - Use the molecular weight of isopropyl alcohol to convert mass to moles. 2. **Set up the ICE (Initial, Change, Equilibrium) table:** - Write initial concentrations. - Express changes in concentration in terms of a variable. - Write equilibrium concentrations in terms of the initial concentrations and the variable. 3. **Apply the equilibrium constant expression:** - Substitute the equilibrium concentrations into the expression for the equilibrium constant and solve for the variable. 4. **Calculate the percentage of isopropyl alcohol that remains undissociated:** - Use the obtained values to determine the undissociated part and convert it to a percentage. This detailed approach ensures that you correctly determine how much of the isopropyl alcohol remains undissociated at the given conditions. **Interactive Component** - **Submit Answer:** Click this button to submit your calculated answer. - **Try Another Version:** Click this button if you want to attempt another version of the problem. - **Attempts Remaining:** This count shows how many attempts you have left to answer the question. **Note:** This problem tests the understanding of chemical equilibrium concepts and the ability to apply them to a practical scenario.
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