Briefly discuss the various types of molecular velocities associated with a gas
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Answer:
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The Maxwell-Boltzmann equation, which forms the basis of the kinetic theory of gases, defines the distribution of speeds for a gas at a certain temperature. From this distribution function, the most probable speed, the average speed, and the root-mean-square speed can be derived.The kinetic molecular theory is used to determine the motion of a molecule of an ideal gas under a certain set of conditions. However, when looking at a mole of ideal gas, it is impossible to measure the velocity of each molecule at every instant of time. Therefore, the Maxwell-Boltzmann distribution is used to determine how many molecules are moving between velocities v and v + dv.
The Maxwell-Boltzmann distribution can be used to determine the distribution of the kinetic energy of for a set of molecules. The distribution of the kinetic energy is identical to the distribution of the speeds for a certain gas at any temperature.
MOST PROBABLE SPEED - DEFINITION
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The most probable speed is the speed most likely to be possessed by any molecule (of the same mass m) in the system.
RELATIONSHIP BETWEEN DIFFERENT TYPES OF MOLECULAR SPEEDS - DEFINITION
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SOLVE QUESTIONS ON MOLECULAR SPEEDS. - DEFINITION
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Use the formula given in the figure for finding different speeds.
TOTAL KINETIC ENERGY OF GAS - DEFINITION
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