Saurabh Koranglekar
Last Activity: 5 Years ago
To find the root mean square (RMS) speed of the given gas molecules, we use the formula:
RMS speed, v_rms = sqrt[(v1² + v2² + v3²) / N]
where:
v1 = 3 m/s,
v2 = 4 m/s,
v3 = 5 m/s,
N = number of molecules = 3.
Step 1: Square the speeds
3² = 9,
4² = 16,
5² = 25.
Step 2: Sum the squared values
9 + 16 + 25 = 50.
Step 3: Divide by the number of molecules
50 / 3 = 16.67.
Step 4: Take the square root
sqrt(16.67) ≈ 4.08 m/s.
Thus, the RMS speed of these molecules is 4.08 m/s.
