Question

1. The velocities of seven molecules are 1 km/s.
2 km/s, 3 km/s, 4 km/s, 5 km/s, 6 km/s, and 7 km/s
respectively. Find the mean square velocity of the
molecules​

Answer 1

Answer:

4.47 m/s

Explanation:

((49+36+25+16+9+4+1)/7)^0.5

20^0.5

Answer 2

Given:

The velocities of seven molecules are 1 km/s., 2 km/s, 3 km/s, 4 km/s, 5 km/s, 6 km/s, and 7 km/s.

To Find:

The mean square velocity of the  molecules.

Solution:

The formula for mean square velocity is,

Mean square velocity = [(sum of the square of all velocities) / (total number of velocities)]∧(1/2).

Mean square velocity = [(1² + 2² + 3² + 4² + 5² + 6² + 7²) / 7]∧(1/2).

Mean square velocity = [(1 + 4 + 9 + 16 + 25 + 36 + 49) / 7]∧(1/2).

​Mean square velocity = [140 / 7]∧ (1/2).

Mean square velocity = 20∧(1/2).

Mean square velocity = 4.472 m/s.

Hence, the mean square velocity is 4.472 m/sec.