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August 18th, 2016, 07:01 AM   #1
Joined: Aug 2016
From: woodstock

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Dimensional Analysis - what am I doing wrong?

I have worked this problem and can't figure out what I am doing wrong. I know what the answer is, know I got it wrong and have a key to how to do it. I just need to know why my method isn't working since what I did makes sense to me.

Question: The density of water is one gram per cubic centimeter. What is the density of water in pounds per liter?

How I Tried to Solve:1 g/cc 1 oz/28.35g 1 lb/16 oz 1cc/1m^3 1 m^3/264.2 gal 1 gal/3.79L (came up with 2.20 x 10^-6)

I have a test tomorrow so if someone could help I would appreciate it.
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August 18th, 2016, 07:20 AM   #2
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you only need ounces that measure weight, not volume ... there is a difference

$\dfrac{1 \, gm}{cm^3} \cdot \dfrac{1 \, oz}{28.35 \, gm} \cdot \dfrac{1 \, lb}{16 \, oz} \cdot \dfrac{1000 \, cm^3}{L} = \dfrac{1000}{(28.35)(16)} \approx 2.2 \, \dfrac{lbs}{L}$

makes sense since 1000 gm = 1 kg, which has a weight of 2.2 lbs
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