1. A 50.0 mL graduated cylinder has a mass of 63.8 g. When it is filled with an

Question

1. A 50.0 mL graduated cylinder has a mass of 63.8 g. When it is filled with an unknown liquid to the 37.7 mL mark, the cylinder and liquid combined have a mass of 92.3 g. Calculate the density of the liquid in g/cm3. (1 mL = 1 cm3.)
2.Paper thickness varies. Typically, 100 sheets are about a cm thick. Atoms typically vary from 1 to 3 angstroms in radius. (An angstrom is 10-10 m.) Suppose a piece of paper is 0.0075 cm thick. How many atoms span the thickness if the radius of the atom is 2.32 angstroms?
3. The distance between the centers of two atoms in a diatomic molecule is 1.22 angstroms. (An angstrom is 10-10 m.) Calculate the distance in feet.
4. Gold has a density of 19.3 g/cm3. Do you think you could carry 2.00 cubic ft (rhetorical--don't answer)? How many pounds does 2.00 cubic feet of gold weigh? [453.6 g = 1 lb, 2.54 cm = 1 in, and 1 ft = 12 in.]
5.The following four numbers are estimates of the mass of an object: 5.76 g, 5.61 g, 6.41 g, and 5.88 g. What is the standard deviation to 2 significant figures? 1. A 50.0 mL graduated cylinder has a mass of 63.8 g. When it is filled with an unknown liquid to the 37.7 mL mark, the cylinder and liquid combined have a mass of 92.3 g. Calculate the density of the liquid in g/cm3. (1 mL = 1 cm3.)

3. The distance between the centers of two atoms in a diatomic molecule is 1.22 angstroms. (An angstrom is 10-10 m.) Calculate the distance in feet.
4. Gold has a density of 19.3 g/cm3. Do you think you could carry 2.00 cubic ft (rhetorical--don't answer)? How many pounds does 2.00 cubic feet of gold weigh? [453.6 g = 1 lb, 2.54 cm = 1 in, and 1 ft = 12 in.]
5.The following four numbers are estimates of the mass of an object: 5.76 g, 5.61 g, 6.41 g, and 5.88 g. What is the standard deviation to 2 significant figures?

Explanation / Answer

1. A 50.0 mL graduated cylinder has a mass of 63.8 g. When it is filled with an unknown liquid to the 37.7 mL mark, the cylinder and liquid combined have a mass of 92.3 g. Calculate the density of the liquid in g/cm3. (1 mL = 1 cm3.)
OK, so you know the mass of the cylinder, 63.8 g. You add 37.7 mL of a liquid, and it now has a combined mass of 145.7g. The liquid has a mass of 92.3 g - 63.8 g., = 28.5 g. As you have a volume of 45.3ml.(read 45.3 cc), and a mass of 104.8g, the liquid must have a density of 28.5/37.7 mL = 0.7559681698 g/cm^3. (0.7559681698 g/cc)
2.Paper thickness varies. Typically, 100 sheets are about a cm thick. Atoms typically vary from 1 to 3 angstroms in radius. (An angstrom is 10-10 m.) Suppose a piece of paper is 0.0075 cm thick. How many atoms span the thickness if the radius of the atom is 2.32 angstroms?
First, get all the numbers in the same units !
So the paper is 7.5 x 10^-5 M thick The atoms are 2.32 x 10^ -10 M thick So there will be 7.5 x 10^-5 M/2.32 x 10^ -10 atoms = about 3.2 x 10^5
3. The distance between the centers of two atoms in a diatomic molecule is 1.22 angstroms. (An angstrom is 10-10m.) Calculate the distance in feet. 4. Gold has a density of 19.3 g/cm3. Do you think you could carry 2.00 cubic ft (rhetorical--don't answer)? How many pounds does 2.00 cubic feet of gold weigh? [453.6 g = 1 lb, 2.54 cm = 1 in, and 1 ft = 12 in.]
1.5 feet = 1.5 * 12 inches = 18 inches 18 inches = 18 * 2.54 cm = 45.72 cm
(45.72 cm) 1. A 50.0 mL graduated cylinder has a mass of 63.8 g. When it is filled with an unknown liquid to the 37.7 mL mark, the cylinder and liquid combined have a mass of 92.3 g. Calculate the density of the liquid in g/cm3. (1 mL = 1 cm3.)
OK, so you know the mass of the cylinder, 63.8 g. You add 37.7 mL of a liquid, and it now has a combined mass of 145.7g. The liquid has a mass of 92.3 g - 63.8 g., = 28.5 g. As you have a volume of 45.3ml.(read 45.3 cc), and a mass of 104.8g, the liquid must have a density of 28.5/37.7 mL = 0.7559681698 g/cm^3. (0.7559681698 g/cc)
2.Paper thickness varies. Typically, 100 sheets are about a cm thick. Atoms typically vary from 1 to 3 angstroms in radius. (An angstrom is 10-10 m.) Suppose a piece of paper is 0.0075 cm thick. How many atoms span the thickness if the radius of the atom is 2.32 angstroms?
First, get all the numbers in the same units !
So the paper is 7.5 x 10^-5 M thick The atoms are 2.32 x 10^ -10 M thick So there will be 7.5 x 10^-5 M/2.32 x 10^ -10 atoms = about 3.2 x 10^5
3. The distance between the centers of two atoms in a diatomic molecule is 1.22 angstroms. (An angstrom is 10-10m.) Calculate the distance in feet. 4. Gold has a density of 19.3 g/cm3. Do you think you could carry 2.00 cubic ft (rhetorical--don't answer)? How many pounds does 2.00 cubic feet of gold weigh? [453.6 g = 1 lb, 2.54 cm = 1 in, and 1 ft = 12 in.]
1.5 feet = 1.5 * 12 inches = 18 inches 18 inches = 18 * 2.54 cm = 45.72 cm
(45.72 cm) 1. A 50.0 mL graduated cylinder has a mass of 63.8 g. When it is filled with an unknown liquid to the 37.7 mL mark, the cylinder and liquid combined have a mass of 92.3 g. Calculate the density of the liquid in g/cm3. (1 mL = 1 cm3.)
OK, so you know the mass of the cylinder, 63.8 g. You add 37.7 mL of a liquid, and it now has a combined mass of 145.7g. The liquid has a mass of 92.3 g - 63.8 g., = 28.5 g. As you have a volume of 45.3ml.(read 45.3 cc), and a mass of 104.8g, the liquid must have a density of 28.5/37.7 mL = 0.7559681698 g/cm^3. (0.7559681698 g/cc)
2.Paper thickness varies. Typically, 100 sheets are about a cm thick. Atoms typically vary from 1 to 3 angstroms in radius. (An angstrom is 10-10 m.) Suppose a piece of paper is 0.0075 cm thick. How many atoms span the thickness if the radius of the atom is 2.32 angstroms?
First, get all the numbers in the same units !
So the paper is 7.5 x 10^-5 M thick The atoms are 2.32 x 10^ -10 M thick So there will be 7.5 x 10^-5 M/2.32 x 10^ -10 atoms = about 3.2 x 10^5
3. The distance between the centers of two atoms in a diatomic molecule is 1.22 angstroms. (An angstrom is 10-10m.) Calculate the distance in feet. 4. Gold has a density of 19.3 g/cm3. Do you think you could carry 2.00 cubic ft (rhetorical--don't answer)? How many pounds does 2.00 cubic feet of gold weigh? [453.6 g = 1 lb, 2.54 cm = 1 in, and 1 ft = 12 in.]
1.5 feet = 1.5 * 12 inches = 18 inches 18 inches = 18 * 2.54 cm = 45.72 cm
(45.72 cm)

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