Root Mean Square Velocity Calculator:
Enter the value of peak velocity, Vp(m/s) to determine the value of root mean square, Vrms(m/s).
Root Mean Square Velocity Formula:
The root mean square velocity is a measure of the average velocity of particles in a gas, which is useful in various scientific fields including physics and chemistry.
The root mean square, Vrms(m/s) in metres per seconds is calculated by multiplying the peak velocity, Vp(m/s) in metres per seconds and 0.7071.
Root mean square, Vrms(m/s) = Vp(m/s) * 0.7071
Vrms(m/s) = root mean square in metres per seconds, m/s.
Vp(m/s) = peak velocity in metres per seconds, m/s.
Root Mean Square Velocity Calculation:
1.A helium gas particle at room temperature has a peak velocity of 1360 m/s. Calculate the root mean square velocity.
Given: Vp(m/s) = 1360m/s.
Root mean square, Vrms(m/s) = Vp(m/s) * 0.7071
Vrms(m/s) = 1360 * 0.7071
Vrms(m/s) = 961.656m/s.
2.In a laboratory experiment, nitrogen gas particles achieve a root mean square velocity 318.195m/s. Determine the peak velocity of these particles.
Given: Vrms(m/s) = 318.195m/s.
Root mean square, Vrms(m/s) = Vp(m/s) * 0.7071
Vp(m/s) = Vrms(m/s) / 0.7071
Vp(m/s) = 318.195 / 0.7071
Vp(m/s) = 450m/s.