The density of a rock will be measured by placing it into a graduated cylinder partially
Chapter 3, Problem 9(choose chapter or problem)
The density of a rock will be measured by placing it into a graduated cylinder partially filled with water, and then measuring the volume of water displaced. The density \(D\) is given by
\(D-m /\left(V_{1}-V_{0}\right)\), where m is the mass of the rock, \(V_{0}\) is the initial volume of water, and \(V_{1}\) is the volume of water plus rock. Assume the mass of the rock is \(750 \mathrm{~g}\), with negligible uncertainty, and that \(V_{0}=500.0 \pm 0.1 \mathrm{~mL}\) and \(V_{1}=813.2 \pm 0.1 \mathrm{~mL}\). Estimate the density of the rock, and find the uncertainty in the estimate.
Equation Transcription:
Text Transcription:
D
D-m /(V_1-V_0)
V_0
V_1
750 g
V_0=500.0 \pm 0.1 mL
V_1=813.2 \pm 0.1 mL
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