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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please show work for question #3

Transcribed Image Text:**Background Information:** On the Planet ISU, they have different elements, **but the atoms bond based on their valence electrons and electronegativities just as elements do on Earth (e.g., Obeys the octet rule).** The chart below provides the element’s symbol, type, number of valence electrons, and electronegativity.
*ve⁻ = valence electrons, EN = electronegativity*
| Element | Properties | Element | Properties |
|---------|---------------------|---------|---------------------|
| M | metal, 1 ve⁻, 0.9 EN | Ma | nonmetal, 7 ve⁻, 3.0 EN |
| On | nonmetal, 6 ve⁻, 2.5 EN | Sh | nonmetal, 5 ve⁻, 3.0 EN |
| St | nonmetal, 4 ve⁻, 2.5 EN | | |
| Er | nonmetal, 6 ve⁻, 3.5 EN | | |
**Note:** The compounds used in the first two questions were in the previous objective, if that saves you time. Molar masses of these compounds are: StOn₂ = 92.14 g/mol, StErMa₂ = 136.70 g/mol, ErMa₂ = 108.70 g/mol.
![## Gas Laws and Applications
### Question 3:
**Describe why a balloon filled with helium (He) on a cold winter’s day shrinks when you take it to your car to take it home from the store. Include a description of the behavior of the gas particles.**
*Answer:*
When the temperature decreases, the kinetic energy of the gas particles decreases. According to Charles's Law, the volume of a gas is directly proportional to its temperature (in Kelvin) at constant pressure. As the helium balloon is exposed to the colder temperature outside, the gas particles move less vigorously and the volume of the balloon decreases, causing it to shrink.
---
### Question 4:
**A balloon filled with helium gas at 20°C occupies 4.91 L at 1.00 atm. The balloon is immersed in liquid nitrogen at -196°C, while the pressure is raised to 5.20 atm. What is the volume of the balloon in the liquid nitrogen?**
*Solution:*
To find the new volume of the balloon, use the combined gas law:
\[ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \]
Convert temperatures to Kelvin:
- \( T_1 = 20°C = 293 K \)
- \( T_2 = -196°C = 77 K \)
Plug in the values:
\[ \frac{1.00 \, \text{atm} \times 4.91 \, \text{L}}{293 \, \text{K}} = \frac{5.20 \, \text{atm} \times V_2}{77 \, \text{K}} \]
Solve for \( V_2 \).
---
### Question 5:
**Determine the volume, in L, of H₂S (at 102°C and 1.20 atm) needed to produce 45.5 g of S. Assume that there is excess SO₂ present.**
Reaction:
\[ 2 \, \text{H}_2\text{S(g)} + \text{SO}_2\text{(g)} \rightarrow 3 \, \text{S(s)} + 2 \, \text{H}_2\text{O(g)} \]
*Solution:*
1. Calculate moles of S (molar mass =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f2fc927-9fa0-46e3-98ea-45819a76f1ba%2Fe478e2ab-17c8-4954-bf69-ab23f0962721%2Flafcg_processed.png&w=3840&q=75)
Transcribed Image Text:## Gas Laws and Applications
### Question 3:
**Describe why a balloon filled with helium (He) on a cold winter’s day shrinks when you take it to your car to take it home from the store. Include a description of the behavior of the gas particles.**
*Answer:*
When the temperature decreases, the kinetic energy of the gas particles decreases. According to Charles's Law, the volume of a gas is directly proportional to its temperature (in Kelvin) at constant pressure. As the helium balloon is exposed to the colder temperature outside, the gas particles move less vigorously and the volume of the balloon decreases, causing it to shrink.
---
### Question 4:
**A balloon filled with helium gas at 20°C occupies 4.91 L at 1.00 atm. The balloon is immersed in liquid nitrogen at -196°C, while the pressure is raised to 5.20 atm. What is the volume of the balloon in the liquid nitrogen?**
*Solution:*
To find the new volume of the balloon, use the combined gas law:
\[ \frac{P_1 \times V_1}{T_1} = \frac{P_2 \times V_2}{T_2} \]
Convert temperatures to Kelvin:
- \( T_1 = 20°C = 293 K \)
- \( T_2 = -196°C = 77 K \)
Plug in the values:
\[ \frac{1.00 \, \text{atm} \times 4.91 \, \text{L}}{293 \, \text{K}} = \frac{5.20 \, \text{atm} \times V_2}{77 \, \text{K}} \]
Solve for \( V_2 \).
---
### Question 5:
**Determine the volume, in L, of H₂S (at 102°C and 1.20 atm) needed to produce 45.5 g of S. Assume that there is excess SO₂ present.**
Reaction:
\[ 2 \, \text{H}_2\text{S(g)} + \text{SO}_2\text{(g)} \rightarrow 3 \, \text{S(s)} + 2 \, \text{H}_2\text{O(g)} \]
*Solution:*
1. Calculate moles of S (molar mass =
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