Question

A vessel at 1000 K contains CO\(_2\) with a pressure of 0.5 atm. Some of the CO\(_2\) is converted into CO on the addition of graphite. The value of K if the total pressure at equilibrium is 0.8 atm, is:

• A. 1.8 atm
• B. 3 atm
• C. 0.3 atm
• D. 0.18 atm

Hint:

Use the total pressure at equilibrium to calculate the equilibrium constant for gas-phase reactions.

Answer 1

The Correct Option is C

Step 1: Understand the reaction.
The reaction is: \[ \text{CO}_2 \, (g) + \text{C} \, (s) \rightleftharpoons 2\text{CO} \, (g) \] At equilibrium, the total pressure is the sum of the pressures of CO\(_2\) and CO.
Step 2: Calculation.
Given the initial pressure and the equilibrium pressures, calculate the equilibrium constant \( K \) for this reaction.
Final Answer: \[ \boxed{0.3 \, \text{atm}} \]