Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

use the data below to calculate the density of each unknown substance. …

Question

use the data below to calculate the density of each unknown substance. then use the density chart above to determine the identity of each substance.

substancedensity (g/cm³)mass (g)volume (cm³)density (g/cm³)substance
gold19.325.832.2
quartz2.6537836.05
silver10.4925.516
aluminum2.77.0830.9
nickel8.961.833.2
sugar1.59
iron7.87

Explanation:

Step1: Calculate density for 5.83g/2.2cm³

$
ho = \frac{5.83}{2.2} = 2.65$

Step2: Match 2.65 with density chart

Quartz has density 2.65

Step3: Calculate density for 378g/36.05cm³

$
ho = \frac{378}{36.05} \approx 10.49$

Step4: Match 10.49 with density chart

Silver has density 10.49

Step5: Calculate density for 25.5g/16cm³

$
ho = \frac{25.5}{16} \approx 1.59$

Step6: Match 1.59 with density chart

Sugar has density 1.59

Step7: Calculate density for 7.083g/0.9cm³

$
ho = \frac{7.083}{0.9} = 7.87$

Step8: Match 7.87 with density chart

Iron has density 7.87

Step9: Calculate density for 61.83g/3.2cm³

$
ho = \frac{61.83}{3.2} \approx 19.32$

Step10: Match 19.32 with density chart

Gold has density 19.32

Answer:

Mass (g)Volume (cm³)Density (g/cm³)Substance
5.832.22.65Quartz
37836.0510.49Silver
25.5161.59Sugar
7.0830.97.87Iron
61.833.219.32Gold