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3. Show that for a mixture of two gases at the same temperature, the ratio of their rms speeds is equal to the inverse ratio of the square roots of their molecular masses.
3. Show that for a mixture of two gases at the same temperature, the ratio of their rms speeds is equal to the inverse ratio of the square roots of their molecular masses. `v_(rms) =sqrt((3kT)/m)`
`v_((rms)_1)/v_((rms)_2) = sqrt(m_2/m_1)`
Equations:
`v_(rms) =sqrt((3kT)/m)`
Solution:
`v_((rms)_1)/v_((rms)_2) =sqrt((3kT)/m_1)/sqrt((3kT)/m_2)`
`v_((rms)_1)/v_((rms)_2) = sqrt(m_2/m_1)`
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