Calculate the total mass of water in kg on Earth's surface from the following data: total planetary surface area: 510,066,000 km?, land area of planet: 148,647,000 km2, assume the average depth of water is: 100.0 km and the density of water is: 1.00 g/mL. O 6.59 x1022 kg O 3.43 x107 kg O 6.59 x1012 kg O 3.43 x1014 kg O 3.61 x1022 kg O 3.61 x 1012 kg
Calculate the total mass of water in kg on Earth's surface from the following data: total planetary surface area: 510,066,000 km?, land area of planet: 148,647,000 km2, assume the average depth of water is: 100.0 km and the density of water is: 1.00 g/mL. O 6.59 x1022 kg O 3.43 x107 kg O 6.59 x1012 kg O 3.43 x1014 kg O 3.61 x1022 kg O 3.61 x 1012 kg
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...
Related questions
Question
100%
4
![**Calculate the Total Mass of Water on Earth's Surface**
Given Data:
- Total planetary surface area: 510,066,000 km²
- Land area of planet: 148,647,000 km²
- Average depth of water: 100.0 km
- Density of water: 1.00 g/mL
**Question:**
Determine the total mass of water in kilograms (kg) on Earth's surface using the above data.
**Options:**
1. \( 6.59 \times 10^{22} \, \text{kg} \)
2. \( 3.43 \times 10^{7} \, \text{kg} \)
3. \( 6.59 \times 10^{12} \, \text{kg} \)
4. \( 3.43 \times 10^{14} \, \text{kg} \)
5. \( 3.61 \times 10^{22} \, \text{kg} \)
6. \( 3.61 \times 10^{12} \, \text{kg} \)
**Explanation:**
To find the total mass of water:
1. Calculate the surface area covered by water:
\[
\text{Water surface area} = \text{Total surface area} - \text{Land area} = 510,066,000 \, \text{km}^2 - 148,647,000 \, \text{km}^2
\]
2. Convert the depth and density units:
- Depth in cm = 100.0 km = 10,000,000 cm
- Density of water = 1.00 g/mL = 1000 kg/m³
3. Calculate the volume of water:
\[
\text{Volume} = \text{Water surface area} \times \text{depth}
\]
4. Calculate the total mass of water:
\[
\text{Mass} = \text{Volume} \times \text{Density}
\]
Solve the above calculations to find the correct mass from the options provided.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5a1c74d-0d5b-42ff-9867-faf7c01405be%2F4a9d3cd1-e7ae-438f-95f8-a4cd653206a3%2F1sfubej_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculate the Total Mass of Water on Earth's Surface**
Given Data:
- Total planetary surface area: 510,066,000 km²
- Land area of planet: 148,647,000 km²
- Average depth of water: 100.0 km
- Density of water: 1.00 g/mL
**Question:**
Determine the total mass of water in kilograms (kg) on Earth's surface using the above data.
**Options:**
1. \( 6.59 \times 10^{22} \, \text{kg} \)
2. \( 3.43 \times 10^{7} \, \text{kg} \)
3. \( 6.59 \times 10^{12} \, \text{kg} \)
4. \( 3.43 \times 10^{14} \, \text{kg} \)
5. \( 3.61 \times 10^{22} \, \text{kg} \)
6. \( 3.61 \times 10^{12} \, \text{kg} \)
**Explanation:**
To find the total mass of water:
1. Calculate the surface area covered by water:
\[
\text{Water surface area} = \text{Total surface area} - \text{Land area} = 510,066,000 \, \text{km}^2 - 148,647,000 \, \text{km}^2
\]
2. Convert the depth and density units:
- Depth in cm = 100.0 km = 10,000,000 cm
- Density of water = 1.00 g/mL = 1000 kg/m³
3. Calculate the volume of water:
\[
\text{Volume} = \text{Water surface area} \times \text{depth}
\]
4. Calculate the total mass of water:
\[
\text{Mass} = \text{Volume} \times \text{Density}
\]
Solve the above calculations to find the correct mass from the options provided.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY