At what temperature does the average translational KE of a molecule in a gas becomes equal to the K. β States of Matter and Gaseous State Chemistry Question
Question
At what temperature does the average translational KE of a molecule in a gas becomes equal to the K.E. of an electron accelerated through a PD of 3 V?
Answer: C
π‘ Solution & Explanation
average translational k.e. per molecule = 1.5 k_b Γ t. k.e. of accelerated electron = q Γ v = 1.6 Γ 10^-19 c Γ 3 v = 4.8 Γ 10^-19 j. equating both: 1.5 Γ 1.38 Γ 10^-23 Γ t = 4.8 Γ 10^-19 β 2.07 Γ 10^-23 Γ t = 4.8 Γ 10^-19 β t = 23,188 k β 23,200 k.
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