Which of the following processes would lead to an increase in the average speed of the molecules of an ideal gas system?

Options

A. Decreasing the temperature of the system
B. Compressing the gas with a piston
C. Expanding the gas into a vacuum
D. Heating the system keeping `V` and `P` constant.

Explanation

To determine which processes would lead to an increase in the average speed of the molecules of an ideal gas system, we will analyze each option based on the relationship between average speed, temperature, and volume.

### Step-by-Step Solution:

1. **Understanding Average Speed of Gas Molecules**:
The average speed (v) of gas molecules in an ideal gas is given by the equation:
\[
v = \sqrt{\frac{8RT}{\pi m}}
...