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Why average velocity of molecules in gas zero whereas the average square of velocity is not zero?
Wiki User
∙ 14y ago
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.
Wiki User
∙ 14y ago
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Why average velocity of molecules of a gas is zero but the square of average velocity is not zero?
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.
Why is the average velocity of the molecules in a gas is zero but the average of the square velocity not zero?
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.
The average kinetic energy of the molecules in an object is what law of thermodynamics?
The root mean square of the velocity.
Calculate velocity of a gas?
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.
On what principle do most thermometers work A when liquid absorbs heat it loses kinetic energy B as the temperature rises the molecules in liquid move more slowly C kinetic energy causes temperatur?
On what principle do most thermometers work? As the temperature of the liquid in the thermometer gets hotter, the molecules move faster. As the molecules move faster, they produce greater pressure. The only free surface is the top. This greater pressure causes the liquid to expand, causing the liquid to rise in the thermometer. A. When liquid absorbs heat it loses kinetic energy. Kinetic energy = ½ * mass * velocity^2 When a liquid absorbs heat, the molecules move faster. Kinetic energy is proportional to the square of velocity of the molecules. So, since the molecules are moving faster, the liquid gains KE. B As the temperature rises, the molecules in liquid move more slowly. Temperature is the measure of the average Kinetic energy of the molecules of a substance. Let's determine what causes the temperature to rise. Suppose you half fill a small metal can with 50º F water, and place it in a pan with 120ºF water in it. The molecules of the 120ºF water are moving very fast. They collide with the atoms in the outer surface of metal can, making these atoms vibrate faster. As these atoms vibrate faster, hitting the atoms in the inside of the metal can harder, the atoms inside vibrate faster. These atoms in the inside of the metal can hit the molecules of the 50º F water, making these water molecules move faster. Since the water molecules of the 50º F water are now moving faster (greater velocity), they have more kinetic energy. So, the temperature of the water in the can is getting warmer. It is a chain reaction. C kinetic energy causes temperature? Temperature measures the kinetic energy. Kinetic energy = ½ * mass * velocity^2 Kinetic energy measures the mass and velocity of atoms and molecules. When the atoms are moving faster the temperature is higher.
Why average velocity of molecules of a gas is zero but the square of average velocity is not zero?
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.
Why is the average velocity of the molecules in a gas is zero but the average of the square velocity not zero?
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.
The average kinetic energy of the molecules in an object is what law of thermodynamics?
The root mean square of the velocity.
What is the meaning of root mean square velocity?
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.
What is meant by rms velocity?
rms means root mean square, or in a roundabout way the average. Therefore the average velocity or average speed (of a car?)
How does temp effect the speed of molecules?
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.
What is meant by rms?
rms means root mean square, or in a roundabout way the average. Therefore the average velocity or average speed (of a car?)
Can velocity be zero and acceleration not?
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.
What is root mean square velocity?
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.
What is molecular velocity in chem?
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.
What are the types of molecular velocities?
the two types of velocity are distance and traveling time. although they may seem a little suspicious now you can even log on to my website at:http:/www.velocityandjunk.com/discussvelocity_and_matter/inc.
Calculate velocity of a gas?
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.
