purpose: in this activity you will practice reading a graduated cylinder and calculate density based on mass…

purpose: in this activity you will practice reading a graduated cylinder and calculate density based on mass and volume.\npart one:\nread each graduated cylinder and write down the amount. be sure to include ml in your answer.\n1. ________ 2. ________ 3. ________ 4. ________\npart three:\ndensity is the mass of a substance contained in a given volume. if the mass and volume of an object are known, then its density can be found. the formula for finding density is: density = mass/volume\nthe mass of an eraser is 50 grams. its volume is 25 cm³. what is its density? 50g/25cm³ = 2 g/cm³\nfind the density of the objects with the following values for mass and volume. show your work.\nmass: 100g volume: 50cm³ 1. ________ mass: 150g volume: 75cm³ 2. ________ mass: 230g volume: 100cm³ 3. ________ mass: 376g volume: 98cm³ 4. ________ mass: 6750g volume: 237cm³ 5. ________\nshow work here.\nmass: 950g volume: 375cm³ 6. ________ mass: 500g volume: 500cm³ 7. ________ mass: 1,876g volume: 475cm³ 8. ________ mass: 872g volume: 546cm³ 9. ________ mass: 886g volume: 947cm³ 10. ________\nmaking sense\nlook at the drawing of a balance. the pan on the left holds a piece of lead. the pan on the right holds a box full of feathers.\n1. which has the greater mass? (look at the weight)\n2. which has the greater volume?\n3. which has the greater density?
Answer
Explanation:
Step1: Recall density formula
Density $\rho=\frac{m}{V}$, where $m$ is mass and $V$ is volume.
Step2: Calculate densities for given mass - volume pairs
For the first set of values (Mass = 100g, Volume = 50$cm^{3}$)
$\rho_1=\frac{100g}{50cm^{3}} = 2g/cm^{3}$
For the second set of values (Mass = 150g, Volume = 75$cm^{3}$)
$\rho_2=\frac{150g}{75cm^{3}} = 2g/cm^{3}$
For the third set of values (Mass = 230g, Volume = 100$cm^{3}$)
$\rho_3=\frac{230g}{100cm^{3}} = 2.3g/cm^{3}$
For the fourth set of values (Mass = 376g, Volume = 98$cm^{3}$)
$\rho_4=\frac{376g}{98cm^{3}}\approx3.84g/cm^{3}$
For the fifth set of values (Mass = 6750g, Volume = 237$cm^{3}$)
$\rho_5=\frac{6750g}{237cm^{3}}\approx28.48g/cm^{3}$
For the sixth set of values (Mass = 950g, Volume = 375$cm^{3}$)
$\rho_6=\frac{950g}{375cm^{3}}\approx2.53g/cm^{3}$
For the seventh set of values (Mass = 500g, Volume = 500$cm^{3}$)
$\rho_7=\frac{500g}{500cm^{3}} = 1g/cm^{3}$
For the eighth set of values (Mass = 1876g, Volume = 475$cm^{3}$)
$\rho_8=\frac{1876g}{475cm^{3}}\approx3.95g/cm^{3}$
For the ninth set of values (Mass = 872g, Volume = 546$cm^{3}$)
$\rho_9=\frac{872g}{546cm^{3}}\approx1.60g/cm^{3}$
For the tenth set of values (Mass = 886g, Volume = 947$cm^{3}$)
$\rho_{10}=\frac{886g}{947cm^{3}}\approx0.94g/cm^{3}$
For the balance - related questions:
- Since the balance is in equilibrium, the mass of the lead and the mass of the feathers are equal.
- Feathers are less dense and will occupy a much larger volume than the lead for the same mass. So, the feathers have a greater volume.
- Lead is a dense material compared to feathers. So, the lead has a greater density.
Answer:
- $2g/cm^{3}$
- $2g/cm^{3}$
- $2.3g/cm^{3}$
- $\approx3.84g/cm^{3}$
- $\approx28.48g/cm^{3}$
- $\approx2.53g/cm^{3}$
- $1g/cm^{3}$
- $\approx3.95g/cm^{3}$
- $\approx1.60g/cm^{3}$
- $\approx0.94g/cm^{3}$ For balance questions:
- They have equal mass.
- Feathers have greater volume.
- Lead has greater density.