The `K_(p)` value for a homogeneous gaseous reaction is found to vary with the change in pressure. The correct conclusion is

Options

A. the gases behave ideally
B. the gases deviate from ideal behaviour
C. the gases in a reaction do not behave ideally
D. `K_(p)` variation with pressure is a consequence of experimental error

Answer

To solve the question regarding the variation of \( K_p \) for a homogeneous gaseous reaction with a change in pressure, we will analyze the principles of chemical equilibrium and the behavior of gases.

### Step-by-Step Solution:

1. **Understanding \( K_p \) and \( K_c \)**:
- The equilibrium constants \( K_p \) and \( K_c \) are defined for reactions at equilibrium. \( K_p \) is used for gaseous reactions and is expressed in terms of partial pressures, while \( K_c \) is expressed in terms of concentrations.
- Both \( K_p \) and \( K_c \) are dependent on temperature.

**Hint**: Remember that equilibrium constants are temperature-dependent and do not change with pressure for ideal gases.

2. **Effect of Pressure on \( K_p \)**:
- According to Le Chatelier's principle, changing the pressure of a system at equilibrium will shift the position of equilibrium but will not change the value of \( K_p \) or \( K_c \).
- If \( K_p \) appears to change with pressure, it indicates that the gases involved are not behaving ideally.

**Hint**: Consider how changes in pressure affect equilibrium positions but not the equilibrium constants.

3. **Ideal vs. Non-Ideal Behavior**:
- Ideal gas behavior assumes that gas particles do not interact and occupy no volume. Real gases deviate from this behavior under high pressure and low temperature.
- The observation that \( K_p \) varies with pressure suggests that the gases in the reaction are deviating from ideal behavior.

**Hint**: Think about the conditions under which gases deviate from ideal behavior.

4. **Evaluating the Options**:
- **Option 1**: Gases behave ideally - Incorrect, as the variation of \( K_p \) indicates non-ideal behavior.
- **Option 2**: Gases deviate from ideal behavior - Correct, as the change in \( K_p \) with pressure suggests non-ideal behavior.
- **Option 3**: Gases in a reaction do not behave ideally - Misleading, as it implies a general statement rather than specific to the reaction.
- **Option 4**: \( K_p \) variation is a consequence of experimental error - Incorrect, as it is not necessarily an error but indicates non-ideal behavior.

5. **Conclusion**:
- The correct conclusion is that the gases deviate from ideal behavior, which is the only option that accurately reflects the situation described in the question.

**Final Answer**: The correct conclusion is that the gases deviate from ideal behavior.