Solution Found!
Refer to Exercise 9. Assume that the mass of the rock is
Chapter 3, Problem 19E(choose chapter or problem)
Refer to Exercise 9. Assume that the mass of the rock is 288.2 g with negligible uncertainty, the initial volume of water in the cylinder is \(400 \pm 0.1\mathrm {~mL}\), and the volume of water plus rock is \(516 \pm 0.2\mathrm {~mL}\). Estimate the density of the rock, and find the relative uncertainty in the estimate.
Equation Transcription:
Text Transcription:
400{+/-}0.1 mL
516{+/-}0.2 mL
Questions & Answers
QUESTION:
Refer to Exercise 9. Assume that the mass of the rock is 288.2 g with negligible uncertainty, the initial volume of water in the cylinder is \(400 \pm 0.1\mathrm {~mL}\), and the volume of water plus rock is \(516 \pm 0.2\mathrm {~mL}\). Estimate the density of the rock, and find the relative uncertainty in the estimate.
Equation Transcription:
Text Transcription:
400{+/-}0.1 mL
516{+/-}0.2 mL
ANSWER:
Step 1 of 2:
Here it is given that D denotes the density of the rock and is given by,
D=
Where m is the mass of the rock,
is the volume of water plus rock,
is the initial volume of water.
It is also given that mass of the rock is 28.2 g,initial volume of water is 4000.1 mL,volume of water plus rock is 516
0.2 mL.
Using these we have to find the density of rock and uncertainty in the estimate.