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It is defined as the square root of the mean of squares of the velocities possessed by the different molecules of a gas at a particular temperature.
It is usually represented by \(\mu\).
If all the molecules of the gas are supposed to have different velocities, say \({ \mu }_{ 1 }, { \mu }_{ 2 }, { \mu }_{ 3 },,,, { \mu }_{ n }\) cm/sec, then $$ \mu = \sqrt { \frac { { { \mu }_{ 1 } }^{ 2 }+{ { \mu }_{ 2 } }^{ 2 }+{ { \mu }_{ 3 } }^{ 2 }+,,,,,,+{ { \mu }_{ n } }^{ 2 } }{ n } } $$ $$ \mu = \sqrt { \frac { 3RT }{ M } } $$ where R is Gas constant,
T is absolute temperature
M is molecular Weight of gas.
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