Hello!
The absolute temperature (from the absolute zero) of a gas is directly proportional to the mean kinetic energy of its molecules. This energy is equal to `(M v_(rms)^2)/2,` where `M` is the molar mass of a gas (the mass of a mole of a gas). The molar mass is directly proportional to the molecule's mass, because each mole of a substance contains the same number of molecules.
The exact equation is `v_(rms) = sqrt((3...
Hello!
The absolute temperature (from the absolute zero) of a gas is directly proportional to the mean kinetic energy of its molecules. This energy is equal to `(M v_(rms)^2)/2,` where `M` is the molar mass of a gas (the mass of a mole of a gas). The molar mass is directly proportional to the molecule's mass, because each mole of a substance contains the same number of molecules.
The exact equation is `v_(rms) = sqrt((3 R T)/M),` where `R` is the ideal gas constant which doesn't depend on gas properties.
Therefore if the molecule's mass increases by a factor of `4,` then the root-mean-square will decrease by the factor of `sqrt(4) = 2.`
That said, the only cause of such a change of a mass is a chemical reaction, but in that case the temperature will likely be changed too.
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