Question

data tables (30 points)
coke
beaker graduated cylinder buret
mass of empty beaker (g) 50.784 50.981 51.019
initial volume (buret only) n/a n/a 18.60
final volume (buret only) n/a n/a 43.56
volume of soda (ml) 23 26.2 24.96
mass of filled beaker (g) 68.982 77.555 75.978
mass of soda (g) 18.198 26.574 24.959
diet coke
beaker graduated cylinder buret
mass of empty beaker (g) 50.268 50.323 50.782
initial volume (buret only) n/a n/a 19.04
final volume (buret only) n/a n/a 44.11
volume of soda (ml) 24 23.12 25.07
mass of filled beaker (g) 73.508 73.674 75.912
mass of soda (g) 23.240 23.351 25.13
calculations: (15 points)

1. calculate the density values of each soda (x2) determined using each piece of glassware (x3). you should calculate 6 density values total. please show one sample calculation in its entirety (with correct units and significant figures,). (10 points) then report the other density values you calculated in the results table. (5 points)

Explanation:

Step1: Recall density formula

The density formula is $
ho=\frac{m}{V}$, where $
ho$ is density, $m$ is mass and $V$ is volume.

Step2: Choose a sample calculation

Let's take the data for Coke using the beaker. Mass of soda $m = 18.198$ g and volume of soda $V=23$ mL.

Step3: Calculate density

$
ho=\frac{18.198\text{ g}}{23\text{ mL}}\approx0.791$ g/mL (rounded to three - significant figures).

Step4: Repeat for other cases

For Coke using graduated cylinder: $m = 26.574$ g, $V = 26.2$ mL, $
ho=\frac{26.574\text{ g}}{26.2\text{ mL}}\approx1.01$ g/mL.
For Coke using buret: $m = 24.959$ g, $V = 24.96$ mL, $
ho=\frac{24.959\text{ g}}{24.96\text{ mL}}\approx1.00$ g/mL.
For Diet Coke using beaker: $m = 23.240$ g, $V = 24$ mL, $
ho=\frac{23.240\text{ g}}{24\text{ mL}}\approx0.968$ g/mL.
For Diet Coke using graduated cylinder: $m = 23.351$ g, $V = 23.12$ mL, $
ho=\frac{23.351\text{ g}}{23.12\text{ mL}}\approx1.01$ g/mL.
For Diet Coke using buret: $m = 25.13$ g, $V = 25.07$ mL, $
ho=\frac{25.13\text{ g}}{25.07\text{ mL}}\approx1.00$ g/mL.

Answer:

Coke - Beaker: $0.791$ g/mL
Coke - Graduated Cylinder: $1.01$ g/mL
Coke - Buret: $1.00$ g/mL
Diet Coke - Beaker: $0.968$ g/mL
Diet Coke - Graduated Cylinder: $1.01$ g/mL
Diet Coke - Buret: $1.00$ g/mL