For a given gas,the velocities of 5 molecules | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) The root mean square $(rms)$ velocity is defined as the square root of the mean of the squares of the individual velocities.Formula: $\upsilon_{rm

Vedclass · Accepted Answer

$4.24$

Vedclass · Answer

(D) The root mean square $(rms)$ velocity is defined as the square root of the mean of the squares of the individual velocities.Formula: $\upsilon_{rms} = \sqrt{\frac{\upsilon_1^2 + \upsilon_2^2 + \upsilon_3^2 + \upsilon_4^2 + \upsilon_5^2}{N}}$Given velocities: $\upsilon_1 = 2, \upsilon_2 = 3, \upsilon_3 = 4, \upsilon_4 = 5, \upsilon_5 = 6$ and $N = 5$.Calculation: $\upsilon_{rms} = \sqrt{\frac{2^2 + 3^2 + 4^2 + 5^2 + 6^2}{5}}$$\upsilon_{rms} = \sqrt{\frac{4 + 9 + 16 + 25 + 36}{5}}$$\upsilon_{rms} = \sqrt{\frac{90}{5}}$$\upsilon_{rms} = \sqrt{18}$$\upsilon_{rms} \approx 4.24$

For a given gas,the velocities of $5$ molecules are $2, 3, 4, 5,$ and $6$. What is the $rms$ velocity?

Similar Questions

The temperature of an ideal gas is increased from $200 \ K$ to $800 \ K$. If the r.m.s. speed of the gas at $200 \ K$ is $v_0$,then the r.m.s. speed of the gas at $800 \ K$ will be:

Three particles have speeds of $2u$,$10u$,and $11u$. Which of the following statements is correct?

The $rms$ speed of helium gas at $27\,^{\circ}C$ and $1\,atm$ pressure is $900\,ms^{-1}$. Then the $rms$ speed of helium molecules at temperature $27\,^{\circ}C$ and $2\,atm$ pressure is ...... $m/s$.

Five molecules of a gas have speeds $1, 2, 4, 8$ and $16 \, m/s$ at some instant. The root mean square velocity of the gas molecules is ..... $m/s$.

At room temperature,a diatomic gas is found to have an $r.m.s.$ speed of $1930 \, m/s$. The gas is

Vedclass Test Series

Exam Paper Generator

Online Exam Module