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AP Physics 2
9.1 Kinetic Theory of Temperature and Pressure
AdvancedMCQGraphicalMathematicalConceptual13.9k
A linear graph displaying squared root-mean-square speed v_rms^2 on the vertical axis versus absolute temperature T on the horizontal axis. The horizontal axis represents temperature T in kelvins (K) with major grid lines labeled from 0 to 400 in increments of 100. The vertical axis represents v_rms^2 in units of 10^-3 m^2/s^2 with major grid lines labeled from 0 to 8 in increments of 2. A straight best-fit line passes through the origin (0,0) and goes through plotted points at (100, 2.0), (200, 4.0), (300, 6.0), and (400, 8.0). No other lines, labels, or text appear.
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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