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PES Skill Sheets.book - Capital High School

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<strong>Skill</strong> Sheet 10.4: Charles’s Law<br />

1. 25.4 liters<br />

2. 22.8 liters<br />

<strong>Skill</strong> Sheet 13.2: Pressure-Temperature Relationship<br />

1. 0.27 atmospheres<br />

2. 1,000 K<br />

<strong>Skill</strong> Sheet 10.4: Archimedes<br />

1. Density: a property that describes the relationship between a<br />

material’s mass and volume. Buoyancy: A measure of the<br />

upward force a fluid exerts on an object.<br />

2. Sample answer: I, Archimedes, have a wide variety of skills<br />

to offer. First, I am an inventor of problem-solving devices,<br />

including a device for transporting water upward. I have also<br />

worked as a crime scene investigator for the king, uncovering<br />

fraud through scientific testing of materials. Furthermore, I<br />

am a writer with several treatises already published. I also<br />

have advanced skills in mathematics and can even estimate<br />

for you the number of grains of sand needed to fill the entire<br />

universe.<br />

3. In the treatise entitled “The Sand Reckoner,” Archimedes<br />

devised a system of exponents that allowed him to represent<br />

large numbers on paper—up to 8 × 10 63 in modern scientific<br />

notation. This was large enough, he said, to count the grains<br />

<strong>Skill</strong> Sheet 10.4: Narcís Monturiol<br />

1. Monturiol was motivated by the suffering of the coral divers<br />

he saw along the coast of Spain. The divers performed<br />

dangerous work to retrieve pieces of coral. They could drown,<br />

hurt themselves on rocks and coral, or be attacked by sharks.<br />

A submarine would provide a safer means of gathering coral.<br />

2. Ictineo I relied on human power to turn the propellers. It had a<br />

spherical inner chamber to withstand water pressure and an<br />

egg-shaped outer chamber for ease of movement. It also had a<br />

ventilator, two sets of propellers, and several portholes.<br />

Monturiol even created a backup system to ensure that the<br />

submarine could be raised to the surface in case of<br />

emergency. Ictineo I could dive to 20 meters and stayed<br />

underwater for nearly two hours.<br />

Ictineo II used steam power instead of human power to turn<br />

the propellers. Monturiol developed a chemical reaction to<br />

power the engine. This reaction also added oxygen to the<br />

<strong>Skill</strong> Sheet 10.4: Archimedes’ Principle<br />

1. If they are both submerged, then they both displace the same<br />

amount of water and have the same buoyant force acting on<br />

them.<br />

Page 27 of 57<br />

3. Answers are:<br />

V1 T1 V2 T2 a. 6,114 mL 838 K 1,070 mL 147 K<br />

b. 3,250 mL 475°C 1,403 mL 50°C<br />

(748 K)<br />

(323 K)<br />

c. 10 L – 58°C 15 L 50°C<br />

(215 K)<br />

(323 K)<br />

3. Answers are:<br />

P1 T1 P2 T2 a. 30.0 atm –100 °C 134 atm 500 °C<br />

(173 K)<br />

(773 K)<br />

b. 15.0 atm 25.0 °C 18.0 atm 85 °C<br />

(298 K)<br />

(360 K)<br />

c. 5.00 atm 488 K 3.00 atm 293 K<br />

of sand that would be needed to fill the universe. His<br />

assessment of the universe’s size was an underestimate, but<br />

he was the first to think of the universe being so large.<br />

4. A helium balloon floats in air because the air it displaces<br />

weighs more than the filled balloon. A balloon filled with air<br />

from someone’s lungs sinks because the combined weight of<br />

the latex balloon and the air inside is greater than the weight<br />

of the air it displaces.<br />

5. Inventions attributed to Archimedes include war machines<br />

(such as a lever used to turn enemy boats upside down), the<br />

Archimedes screw, compound pulley systems, and a<br />

planetarium. There is some debate about whether he invented<br />

a water organ and a system of mirrors and/or lenses to focus<br />

intense, burning light on enemy ships. Students can use the<br />

Internet or library to find more information and diagrams of<br />

the inventions.<br />

submarine. Ictineo II was longer than Ictineo I, had two<br />

engines, dove to 30 meters, and remained underwater for<br />

nearly seven hours.<br />

3. A replica of Ictineo I is located at the Marine Museum in<br />

Barcelona. A replica of Ictineo II can be found at Barcelona<br />

harbor.<br />

4. In 1862, Ictineo I was destroyed by a freight ship while<br />

anchored in Barcelona Harbor.<br />

5. Monturiol developed the following: A process to speed up the<br />

manufacturing of adhesive paper, a machine to copy letters, a<br />

stone cutter, and a meat preservative.<br />

6. Spain created a postage stamp in Monturiol’s honor.<br />

7. The Narcís Monturiol medal is an award given for<br />

“distinction in science and technology and for contributions<br />

to the scientific development of Catalonia.”<br />

2. Answers are:<br />

a. 100 cm 3<br />

b. 0.98 N<br />

c. 0.98 N<br />

d. sink

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