You measure the volume of a stainless steel sphere by placing it into a 100 mL graduated cylinder with an uncertainty of 1 mL, with 20 mL of water initially. After the sphere settles, the graduated cylinder now reads 22 mL. What is the volume with uncertainty? You make a 100 mL, 1 mM solution of glycine in water using a balance with an uncertainty of 0.1 mg and a graduated cylinder with an uncertainty of 1 mL. What is the concentration with uncertainty?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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You measure the volume of a stainless steel sphere by placing it into a
100 mL graduated cylinder with an uncertainty of 1 mL, with 20 mL of
water initially. After the sphere settles, the graduated cylinder now reads
22 mL. What is the volume with uncertainty?

You make a 100 mL, 1 mM solution of glycine in water using a balance
with an uncertainty of 0.1 mg and a graduated cylinder with an uncertainty
of 1 mL. What is the concentration with uncertainty?

Please use the formula I posted 

Thank you!

Addition and subtraction
Given a ± O, b±0, c±Oc
z = a + b+ c
Oz =
+
Multiplication and division
• Given a ± og, 6±O,, C±Oc
z = a x b × c
()
Oz = z X
а
+
Transcribed Image Text:Addition and subtraction Given a ± O, b±0, c±Oc z = a + b+ c Oz = + Multiplication and division • Given a ± og, 6±O,, C±Oc z = a x b × c () Oz = z X а +
Expert Solution
Step 1

First question:

Here, the initial volume, a=20 mL with uncertainty of σa=1mL and the final volume, b=22 mL with the uncertainty of σb=1 mL.

The volume of sphere, V=b(final volume of water with sphere) -a(initial volume of water).

So, the uncertainty in volume, σV=σa2+σb2=12+12=2 mL.

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