If a gas contains only three molecules that move with velocities of $100,200,500 \mathrm{~ms}^{-1}$. What is the rms velocity of that gas in $\mathrm{ms}^{-1}$ ?

Question

Aicharya · Accepted Answer

$C_1=100 \mathrm{~ms}^{-1}, \quad C_2=200 \mathrm{~ms}^{-1}, \quad C_3=500 \mathrm{~ms}^{-1} \mathrm{rms}$ velocity $(C)=$ ? $\operatorname{rms}$ velocity $(C)=\sqrt{\frac{C_1^2+C_2^2+C_3^2}{n}}$ $=\sqrt{\frac{(100)^2+(200)^2+(500)^2}{3}}$ $=\sqrt{100000}=100 \sqrt{10} \mathrm{~ms}^{-1}$

If a gas contains only three molecules that move with velocities of $100,200,500 \mathrm{~ms}^{-1}$. What is…

Solution