Kinematics
Physics

# Why average velocity of molecules in gas zero whereas the average square of velocity is not zero?

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###### Wiki User

Because squaring a velocity removes its sign. A velocity may be negative,

but it's square is always positive.

If two velocities are +5 and -5, their average is zero. But both squares are +25,

so the average square is +25.

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## Related Questions

It depends on the sign of velocities. For example, if there are two velocities 7 and -7 m/s then the average velocity of the molecules will be 0. But, the square will be 49. The general thing here is that even if a velocity is negative, the square of EVERY velocity irrespective of the sign is positive i.e., squaring always removes the negative sign.

The gas molecules are in motion but if the total gas volume is stationary (Eg. closed in a container) the average gas velocity is zero. And since the square of any number is never negative. And not all molecules have zero velocity at a time. Therefore, since not all numbers are zero and no number is negative the the average of numbers should be a positive number and will not be zero.

Root mean square velocity is the measure of the velocity of gas particles that is used for solving problems. It is the square root of the average velocity-squared of the molecules in a gas. The formula for root mean square velocity is sqrt(3RT/Mm) where Mm is the molar mass of the gas in kg / mole, R is the gas constant, and T is the temperature in kelvin.

Most probable velocity average velocity root mean square velocity

rms means root mean square, or in a roundabout way the average. Therefore the average velocity or average speed (of a car?)

Kinetic energy.Which is a measurement of the velocity of the component molecules given by the equation:E=(1/2)mv2As the velocity of the component molecules follow a Normal Distribution solving the above equation for v gives us what is called the Root Mean Square velocity.v=SQRT(2E/m)

Gas velocity involves the variables of system temperature and molar mass of its molecules. Simplified, the velocity as a root-mean-square equals the square root of two-times the kinetic energy divided by molecular mass.

Molecular velocity is defined as the velocity of a each molecule in a certain sample of gas. It can be expressed by means of root-mean-square velocity, average velocity and most probable velocity.

Temperature is the average kinetic energy of a set of molecules. Think about that: From physics, you know that the kinetic energy of an object is proportionate to its mass, and the square of its velocity. By adding heat to a system, you are adding energy. That energy is manifested as temperature.

For an object moving at a variable velocity you:calculate the square of the velocityfind its mean valuecalculate its square root.If the velocity is constant then the RMS velocity has the same value.

Yes. If you throw an object up, the moment it is at its highest point, the velocity at that instant will be zero, whereas the acceleration is -9.8 meters per second square. In other words, the velocity won't remain zero for a long time.

The square of 2 is 4. So, if the velocity doubles, the energy increases by a factor of 4.The square of 2 is 4. So, if the velocity doubles, the energy increases by a factor of 4.The square of 2 is 4. So, if the velocity doubles, the energy increases by a factor of 4.The square of 2 is 4. So, if the velocity doubles, the energy increases by a factor of 4.

Average acceleration = delta velocity / delta time. That is, calculate the difference between the final and the initial velocity, then divide by the amount of time elapsed. If velocities are in meters per second, and times in second, the acceleration will be in meters per square second.

kinetic energy= half mass multiplied by velocity square (KE=1/2mv2) if velocity is doubled, then KE=1/2mass multiply by 2velocity square then, 1/4 KE= 1/2 mass velocity square so it can be deduced that if velocity is doubled of an object, then its kinetic energy will decrease by 4 times.

Kinetic energy is proportional to the square of the magnitude of velocity.

A square has four sides whereas a triangle has only three. A square holds 360 degrees, whereas a triangle only holds 180 degrees. A square has all four sides even with 90 degrees in each whereas a triangle angles/sizes vary.

A square has all right angles, whereas a rhombus does not.

No because it has 6 sides whereas a square has 4 sides

Air pressure is proportional to the square of the wind velocity.

Centripetal force is = mass * velocity square divided by radius

displacement = (final velocity square + initial velocity sq. )/ 2 * acceleration

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