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In a 20 litre vessel initially each have...

In a `20` litre vessel initially each have `1-1` mole. `CO,H_(2)OCO_(2)` is present, then for the equilibrium of `CO+H_(2)OhArrCO_(2)+H_(2)` following is true:

A

`H_(2)`, more then `1` mole

B

`CO,H_(2)O,H_(2)` less then `1` mole

C

`CO_(2) "&" H_(2)O` both more then `1` mole

D

All of these

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To solve the problem step by step, let's analyze the equilibrium reaction and the initial conditions provided. ### Step 1: Write the Balanced Chemical Equation The reaction given is: \[ \text{CO} + \text{H}_2\text{O} \rightleftharpoons \text{CO}_2 + \text{H}_2 \] ### Step 2: Identify Initial Conditions We are given that in a 20-liter vessel: - Initial moles of CO = 1 mole - Initial moles of H2O = 1 mole - Initial moles of CO2 = 1 mole - Initial moles of H2 = 0 moles ### Step 3: Set Up the ICE Table We can set up an ICE (Initial, Change, Equilibrium) table to track the changes in concentration as the system reaches equilibrium. | Species | Initial (moles) | Change (moles) | Equilibrium (moles) | |------------|------------------|----------------|----------------------| | CO | 1 | -x | 1 - x | | H2O | 1 | -x | 1 - x | | CO2 | 1 | +x | 1 + x | | H2 | 0 | +x | 0 + x = x | ### Step 4: Analyze the Changes At equilibrium: - The moles of CO and H2O will decrease by \( x \). - The moles of CO2 and H2 will increase by \( x \). ### Step 5: Determine the Value of x Since the reaction does not go to completion, \( x \) must be less than 1 mole. Therefore: - \( 1 - x > 0 \) implies \( x < 1 \) - \( 1 + x > 1 \) implies \( x > 0 \) ### Step 6: Evaluate Each Statement Now, let’s evaluate the statements provided in the question: 1. **H2 is more than 1 mole**: This is incorrect because at equilibrium, \( H2 = x \) and since \( x < 1 \), \( H2 < 1 \). 2. **CO is less than 1 mole**: This is correct because \( CO = 1 - x \) and since \( x > 0 \), \( CO < 1 \). 3. **H2 is less than 1 mole**: This is also correct because \( H2 = x \) and since \( x < 1 \), \( H2 < 1 \). 4. **CO2 and H2O both more than 1 mole**: This is incorrect because \( CO2 = 1 + x \) (which is more than 1) and \( H2O = 1 - x \) (which is less than 1). ### Conclusion The only correct statement is that CO is less than 1 mole. Therefore, the correct answer is option B.

To solve the problem step by step, let's analyze the equilibrium reaction and the initial conditions provided. ### Step 1: Write the Balanced Chemical Equation The reaction given is: \[ \text{CO} + \text{H}_2\text{O} \rightleftharpoons \text{CO}_2 + \text{H}_2 \] ### Step 2: Identify Initial Conditions We are given that in a 20-liter vessel: ...
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