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Question
numerical values
all particle motion within an object has ceased. state the keavg of the particles & the temperature (in k) of the object.
keravg=
t=
Step1: Recall Kinetic Theory of Gases
The average kinetic energy (\(KE_{\text{avg}}\)) of particles in a substance is related to temperature. At absolute zero (0 K), all particle motion (translational, for ideal gas context, and in general, all thermal motion) ceases. The formula for average kinetic energy of gas particles is \(KE_{\text{avg}}=\frac{3}{2}kT\), where \(k\) is Boltzmann's constant and \(T\) is temperature in Kelvin.
Step2: Determine \(KE_{\text{avg}}\) and \(T\)
When all particle motion ceases, the temperature is absolute zero, \(T = 0\space K\). Substituting \(T = 0\space K\) into the \(KE_{\text{avg}}\) formula, \(KE_{\text{avg}}=\frac{3}{2}k(0)=0\space J\) (for the average translational kinetic energy, and in the context of all particle motion ceasing, the average kinetic energy of particles is zero).
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\(KE_{\text{avg}}=\boxed{0}\) (in appropriate energy units, e.g., joules)
\(T=\boxed{0}\space K\)