Equilibrium Constant

Step 1: Understanding the Question:
The question asks to find the numerical expression for the equilibrium constant in terms of molarity ( ) given the equilibrium constant in terms of partial pressure ( ) and the temperature.
Step 2: Key Formula or Approach:
The relationship between and for a gaseous reaction is:
Where:
- is the universal gas constant (use to match units).
- is the absolute temperature in Kelvin.
- is the change in the number of moles of gaseous products and reactants ( ).
Step 3: Detailed Explanation:
1. Calculate :
The balanced chemical equation is: .

2. Convert Temperature to Kelvin:

3. Rearrange the formula to solve for :

Substituting the values ( , , , and ):

Step 4: Final Answer:
Comparing this result with the given options, it exactly matches option (D). (Note: Option C is incorrect because it uses a positive exponent of 2 in the denominator, which would correspond to ).