5. convert the following using factor label (box method)\n a. 7.68 cm to m\n b. 0.0045 km to cm\n c. 55…

5a. Convert 7.68 cm to m

Explanation:

Step1: Identify conversion factor

1 m = 100 cm, so conversion factor is $\frac{1\ m}{100\ cm}$

Step2: Multiply by conversion factor

$7.68\ cm\times\frac{1\ m}{100\ cm}=0.0768\ m$

Answer:

$0.0768\ m$

5b. Convert 0.0045 km to cm

Explanation:

Step1: Convert km to m

1 km = 1000 m, so $0.0045\ km\times\frac{1000\ m}{1\ km}=4.5\ m$

Step2: Convert m to cm

1 m = 100 cm, so $4.5\ m\times\frac{100\ cm}{1\ m}=450\ cm$

Answer:

$450\ cm$

5c. Convert 55 km/hr to cm/sec

Explanation:

Step1: Convert km to cm

1 km = 100000 cm, so $55\ km\times\frac{100000\ cm}{1\ km}=5500000\ cm$

Step2: Convert hr to sec

1 hr = 3600 sec

Step3: Calculate new speed

$\frac{5500000\ cm}{3600\ sec}\approx1527.78\ cm/sec$

Answer:

$1527.78\ cm/sec$

5d. Convert 435 $cm^{3}$ to L

Explanation:

Step1: Identify conversion factor

1 L = 1000 $cm^{3}$, so conversion factor is $\frac{1\ L}{1000\ cm^{3}}$

Step2: Multiply by conversion factor

$435\ cm^{3}\times\frac{1\ L}{1000\ cm^{3}} = 0.435\ L$

Answer:

$0.435\ L$

6. Define Density AND give the formula for density

Explanation:

Density is the mass per unit volume of a substance. The formula for density is $\rho=\frac{m}{V}$, where $\rho$ is density, $m$ is mass and $V$ is volume.

Answer:

Density is the mass per - unit volume of a substance. Formula: $\rho=\frac{m}{V}$

7. Calculate the volume of a sample that has a density of 4.56 g/mL, if the mass of the sample is 3.28 grams

Explanation:

Step1: Rearrange density formula for volume

From $\rho=\frac{m}{V}$, we get $V = \frac{m}{\rho}$

Step2: Substitute values

$V=\frac{3.28\ g}{4.56\ g/mL}\approx0.72\ mL$

Answer:

$0.72\ mL$

8. Find the density of a substance that has a volume of 550 mL and a mass of 325 grams

Explanation:

Step1: Use density formula

$\rho=\frac{m}{V}$

Step2: Substitute values

$\rho=\frac{325\ g}{550\ mL}\approx0.59\ g/mL$

Answer:

$0.59\ g/mL$

9. If the density of a substance is 2.15 g/mL, find the mass if you have a volume of 350 mL

Explanation:

Step1: Rearrange density formula for mass

From $\rho=\frac{m}{V}$, we get $m=\rho V$

Step2: Substitute values

$m = 2.15\ g/mL\times350\ mL = 752.5\ g$

Answer:

$752.5\ g$

10. Find the density of a substance that has a mass of 4.57 g and was put into a graduated cylinder containing 15 mL of water and the water rose to 27.3 mL

Explanation:

Step1: Find volume of the substance

Volume of substance $V=27.3\ mL - 15\ mL=12.3\ mL$

Step2: Use density formula

$\rho=\frac{m}{V}=\frac{4.57\ g}{12.3\ mL}\approx0.37\ g/mL$

Answer:

$0.37\ g/mL$