Question

Four molecules of a gas have speeds 1,2,3 and 4 km/s. the value of the root mean square speed of the gas molecules is

Answer 1

Answer:

The value of the root mean square speed of the gas molecules is $\sqrt{\frac{15}{2} }$

Step-by-step explanation:

Given,

Four molecules of gas have speeds = 1 ,2, 3 and 4 km/s

We have to find root mean square speed of gas molecules

The root mean square speed is the square root of the average of the square of speeds, that is,

We will first find the square, then average /  mean of that and then finally we will find square root of the same

So

Square of speeds = 1² + 2² + 3² + 4²

Mean of speeds = Sum of square of speeds / Total number of speeds

Mean of speeds =  1² + 2² + 3² + 4² / 4

Mean of speeds =  1 + 4 + 9 + 16 / 4

Mean of speeds =  30 / 4 = 15 / 2

Now,

Square root of mean of speeds = $\sqrt{\frac{15}{2} }$

Hence,

The value of the root mean square speed of the gas molecules is $\sqrt{\frac{15}{2} }$

Answer 2

Answer:

Step-by-step explanation:

In this question method is same but digit different... I hope u understood