A gas mixture consists of molecules of A,B and C with masses `m_(A) gt m_(B) gt m_(C).` Rank the three types of molecules in decreasing order of (a) average KE (b) rms speeds.

Explanation

To solve the problem, we will analyze the average kinetic energy and the root mean square (rms) speeds of the gas molecules A, B, and C.

### Step-by-Step Solution:

#### Part (a): Average Kinetic Energy

1. **Understanding Average Kinetic Energy**:
The average kinetic energy (KE) of gas molecules is given by the formula:
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