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a) Would 1 gram of gold weigh more than 1 gram of aluminum? No. They are both one gram, so weigh the same. 1g gold would be more dense, but not weigh more. How would the volumes of these samples compare? The allinum has much more volume than the gold, because it is much less dense. b) If you had a 1 gram sample and a 10 gram sample of the same substance, how would you expect their volumes to compare? 1 gram would have much less volume than 10 grams. c) If you had 1 kg of silver, how much space would it take up? d) How many 100 g bars of copper would you need to fill a 1 L box? 1g=1/1000L 100g= 100/1000L = 10/100L = 0.1L So if 100g = 0.1L, and if 1L=1000g, then you would need to multiply both sides by 10, to make 1000g=1L, which means that you need 10 100g bars of copper to fill a 1L box.

a) Would 1 gram of gold weigh more than 1 gram of aluminum? No. They are both one gram, so weigh the same. 1g gold would be more dense, but not weigh more. How would the volumes of these samples compare? The allinum has much more volume than the gold, because it is much less dense. b) If you had a 1 gram sample and a 10 gram sample of the same substance, how would you expect their volumes to compare? 1 gram would have much less volume than 10 grams. c) If you had 1 kg of silver, how much space would it take up? d) How many 100 g bars of copper would you need to fill a 1 L box? 1g=1/1000L 100g= 100/1000L = 10/100L = 0.1L So if 100g = 0.1L, and if 1L=1000g, then you would need to multiply both sides by 10, to make 1000g=1L, which means that you need 10 100g bars of copper to fill a 1L box.

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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**Part 2: Problem Solving** **Using what you have learned about density so far, answer the following questions. Be sure to show all calculations, taking into account significant digits. Explain your reasoning thoroughly using complete sentences.** 1. **Use the table of density values below to answer the following questions.** **Accepted Density Values for Various Metals** | Metal | gold | lead | silver | copper | brass | iron | tin | zinc | aluminum | |----------|------|------|--------|--------|-------|------|-----|------|----------| | Density (g/mL) | 19.3 | 11.3 | 10.5 | 9.0 | 8.4 | 7.9 | 7.3 | 7.1 | 2.7 | a) **Would 1 gram of gold weigh more than 1 gram of aluminum?** *No. They are both one gram, so weigh the same. 1g gold would be more dense, but not weigh more.* **How would the volumes of these samples compare?** *The aluminum has much more volume than the gold, because it is much less dense.* b) **If you had a 1 gram sample and a 10 gram sample of the same substance, how would you expect their volumes to compare?** *1 gram would have much less volume than 10 grams.* c) **If you had 1 kg of silver, how much space would it take up?** d) **How many 100 g bars of copper would you need to fill a 1 L box?** *1g = 1/1000L* *100g = 100/1000L = 10/100L = 0.1L* *So if 100g = 0.1L, and if 1L = 1000g, then you would need to multiply both sides by 10, to make 1000g = 1L, which means that you need 10 100g bars of copper to fill a 1L box.*
Transcribed Image Text:**Part 2: Problem Solving** **Using what you have learned about density so far, answer the following questions. Be sure to show all calculations, taking into account significant digits. Explain your reasoning thoroughly using complete sentences.** 1. **Use the table of density values below to answer the following questions.** **Accepted Density Values for Various Metals** | Metal | gold | lead | silver | copper | brass | iron | tin | zinc | aluminum | |----------|------|------|--------|--------|-------|------|-----|------|----------| | Density (g/mL) | 19.3 | 11.3 | 10.5 | 9.0 | 8.4 | 7.9 | 7.3 | 7.1 | 2.7 | a) **Would 1 gram of gold weigh more than 1 gram of aluminum?** *No. They are both one gram, so weigh the same. 1g gold would be more dense, but not weigh more.* **How would the volumes of these samples compare?** *The aluminum has much more volume than the gold, because it is much less dense.* b) **If you had a 1 gram sample and a 10 gram sample of the same substance, how would you expect their volumes to compare?** *1 gram would have much less volume than 10 grams.* c) **If you had 1 kg of silver, how much space would it take up?** d) **How many 100 g bars of copper would you need to fill a 1 L box?** *1g = 1/1000L* *100g = 100/1000L = 10/100L = 0.1L* *So if 100g = 0.1L, and if 1L = 1000g, then you would need to multiply both sides by 10, to make 1000g = 1L, which means that you need 10 100g bars of copper to fill a 1L box.*
### Table and Questions **Use the table below to answer the following questions:** | Substance | Mass (g) | Volume (mL) | |-----------|----------|-------------| | A | 90.0 | 30.0 | | B | 65.0 | 50.5 | | C | 40.5 | 45.1 | **Density of Water = 1.00 g/mL** #### a) Which substance(s) will float in water? Explain. **Answer:** C is the only substance that is less dense than water, so it is the only substance that will float in water. #### b) If you had 1 kg of each substance, which one would take up the most volume? Explain. **Answer:** If I had 1 kg of each, substance A takes up the most. This is because it is the most dense. #### c) If you had 1 L of each substance, which one would have the most mass? Explain. **Answer:** The same, A takes up the most, because it is the most dense. ### Additional Scenario **3. A small elevator with a volume of 100 L has a maximum weight capacity of 500 kg. If you had a 500 kg sample of each of the following rare and precious substances, which one(s) could you fit in the elevator? Explain using calculations and words.** - **Donnelyon:** 13.7 kg/L Calculation: \(1.37 \text{ kg/L} \times 500 = 685 \text{ kg} \\ 1 \text{ L} \times 500 = 500 \text{ L} \\ 685 \text{ kg} / 500 \text{ L}\) - **Conclusion:** Nope, D can’t fit. - **Machaium:** 5.9 kg/L Calculation: \(5.9 \text{ kg/L} \times 500 = 2950\) - **Lurainogen:** 3.8 kg/L | Substance | Density | |------------|------------| | Donnelyon | 13.7 kg/L | | Machaium | 5.9 kg/L | | Lurainogen | 3.8 kg/L |
Transcribed Image Text:### Table and Questions **Use the table below to answer the following questions:** | Substance | Mass (g) | Volume (mL) | |-----------|----------|-------------| | A | 90.0 | 30.0 | | B | 65.0 | 50.5 | | C | 40.5 | 45.1 | **Density of Water = 1.00 g/mL** #### a) Which substance(s) will float in water? Explain. **Answer:** C is the only substance that is less dense than water, so it is the only substance that will float in water. #### b) If you had 1 kg of each substance, which one would take up the most volume? Explain. **Answer:** If I had 1 kg of each, substance A takes up the most. This is because it is the most dense. #### c) If you had 1 L of each substance, which one would have the most mass? Explain. **Answer:** The same, A takes up the most, because it is the most dense. ### Additional Scenario **3. A small elevator with a volume of 100 L has a maximum weight capacity of 500 kg. If you had a 500 kg sample of each of the following rare and precious substances, which one(s) could you fit in the elevator? Explain using calculations and words.** - **Donnelyon:** 13.7 kg/L Calculation: \(1.37 \text{ kg/L} \times 500 = 685 \text{ kg} \\ 1 \text{ L} \times 500 = 500 \text{ L} \\ 685 \text{ kg} / 500 \text{ L}\) - **Conclusion:** Nope, D can’t fit. - **Machaium:** 5.9 kg/L Calculation: \(5.9 \text{ kg/L} \times 500 = 2950\) - **Lurainogen:** 3.8 kg/L | Substance | Density | |------------|------------| | Donnelyon | 13.7 kg/L | | Machaium | 5.9 kg/L | | Lurainogen | 3.8 kg/L |
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