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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 average kinetic energy of molecules in an object is governed by the first law of thermodynamics, which states that energy cannot be created or destroyed, only transferred or transformed. This is because the kinetic energy of molecules is a form of internal energy that is included in the total energy of the system.
How fast do gas molecules move at a high temperature?
The average speed of gas molecules is typically given as the root mean squared velocity. vrms = √(3RT/M) R is the ideal gas constant (8.3145 J/mol*K), T is the Kelvin temperature, M is the mass of one mole of the gas in (kg/mol). From the equation, you can see that a high temperature results in a high RMS velocity, as does a low molar mass.
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.
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.
What is the ratio of the average velocity of hydrogen molecules to that of neon atoms at the same temperature and pressure?
The ratio of the average velocity of hydrogen molecules to neon atoms is the square root of the ratio of their molar masses. Since the molar mass of neon is about 20 times that of hydrogen, the average velocity of hydrogen molecules would be about √20 times faster than that of neon atoms.
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 velocity refers to the root mean square velocity of particles in a gas, which is the square root of the average of the squares of the velocities. It is a measure of the average speed of gas particles in a system.
What is the velocity of hydrogen at 298 K?
The average velocity of hydrogen molecules at 298 K can be calculated using the root mean square velocity formula, v = √(3kT/m), where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of a hydrogen molecule. The average velocity of hydrogen at 298 K would be around 1926 m/s.
What are the types of molecular velocities?
The types of molecular velocities are translational, rotational, and vibrational. Translational velocity refers to the movement of molecules in space, while rotational velocity involves the spinning motion of molecules around their axis. Vibrational velocity relates to the oscillation of atoms within a molecule.
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.
The average kinetic energy of the molecules in an object is what law of thermodynamics?
The average kinetic energy of molecules in an object is governed by the first law of thermodynamics, which states that energy cannot be created or destroyed, only transferred or transformed. This is because the kinetic energy of molecules is a form of internal energy that is included in the total energy of the system.
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?)
What does the experiment suggest about the average speed of hydrogen molecules compared with the average speed of molecules in the air?
The experiment suggests that the average speed of hydrogen molecules is higher than the average speed of molecules in the air. This is because hydrogen molecules are lighter and have a higher root mean square speed due to their lower mass.
How fast do gas molecules move at a high temperature?
The average speed of gas molecules is typically given as the root mean squared velocity. vrms = √(3RT/M) R is the ideal gas constant (8.3145 J/mol*K), T is the Kelvin temperature, M is the mass of one mole of the gas in (kg/mol). From the equation, you can see that a high temperature results in a high RMS velocity, as does a low molar mass.
