Root mean square speed is the estimation of the effect of temperature and weight on kinetic energy. The root means square speed for a mixture of helium and methane is 2. Thus, option d is correct.
<h3>What is the root mean square speed?</h3>
Root mean square speed is the estimation of the square root of the mean value of the squared speeds of the individual gas particles in the mixture.
As it is known that,
Root mean square speed = √{3RT/M}
Where T is constant temperature and R is gas constant. The molecular mass of helium gas is 4 g/mol and of methane is 16 g/mol.
Vrms = √{3RT/M}
For helium, Vrms = √{3RT/4}
And, for methane = Vrms = √{3RT/16}
So, (Vrms,helium) / (Vrms,methane) = 4 / 2 = 2
Therefore, option d. 2 is the root-mean-square speed for the mixture.
Learn more about root-mean-square speeds here:
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Your question is incomplete, but most probably your full question was, Helium and methane gases are mixed together in a container. what is the ratio of their root-mean-square speeds, i. e. (Vrms, helium) / (Vrms, methane)?
