Microscopic spherical particles, each of mass \(m = 2.1 \times 10^{-18} \text{ kg}\), are suspended in a fluid to observe Brownian motion. The square of their root-mean-square speed, \(v_{\text{rms}}^2\), is measured across a range of absolute temperatures \(T\), yielding the graph shown. Based on the graph, what is the experimental value of Boltzmann's constant, \(k

AP Physics 2

9.1 Kinetic Theory of Temperature and Pressure

AdvancedMCQGraphicalMathematicalConceptual13.9k

Graph of \(v_{\text{rms}}^2\) versus temperature \(T\) for suspended particles.

Microscopic spherical particles, each of mass \(m = 2.1 \times 10^{-18} \text{ kg}\), are suspended in a fluid to observe Brownian motion. The square of their root-mean-square speed, \(v_{\text{rms}}^2\), is measured across a range of absolute temperatures \(T\), yielding the graph shown. Based on the graph, what is the experimental value of Boltzmann's constant, \(k_B\)?

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