Homework Help is Here – Start Your Trial Now!
Science
Chemistry
A fuel tank holds 22.3 gallons of gasoline. If the density of gasoline is 0.8206 g/mL what is the mass in kilograms of gasoline in a full tank?

A fuel tank holds 22.3 gallons of gasoline. If the density of gasoline is 0.8206 g/mL what is the mass in kilograms of gasoline in a full tank?

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...
See similar textbooks
icon
Related questions
Question
### Fuel Tank Mass Calculation **Question 3 of 40** A fuel tank holds 22.3 gallons of gasoline. If the density of gasoline is 0.8206 g/mL, what is the mass in kilograms of gasoline in a full tank? #### Explanation: To find the mass in kilograms of gasoline in the fuel tank, follow these steps: 1. **Convert gallons to milliliters (mL)**: - 1 gallon = 3,785.41 mL - Volume in mL = 22.3 gallons × 3,785.41 mL/gallon 2. **Calculate the mass in grams (g)** using the density formula: - Density (ρ) = Mass (m) / Volume (V) - Mass (m) = Density (ρ) × Volume (V) - Density of gasoline = 0.8206 g/mL 3. **Convert grams to kilograms (kg)**: - 1 kilogram = 1,000 grams - Mass in kg = Mass in g / 1,000 #### Steps: - `22.3 gallons × 3,785.41 mL/gallon = 84,416.643 mL` - `Mass in grams = 0.8206 g/mL × 84,416.643 mL = 69,259.4848 g` - `Mass in kilograms = 69,259.4848 g / 1,000 = 69.259 kg` So, the mass of gasoline in a full tank is **69.259 kilograms**. #### Interface Elements: - **Add Factor Section**: This section provides factors and values to use for calculations. - **Answer Box**: This box is where the final answer is entered. - **Reset Button**: This button allows the user to clear the inputs and start over if necessary. #### Calculator Input Keys: - Numerical values and constants (e.g., 6930, 103, 0.001) - Basic arithmetic operations (e.g., ×, ÷) - Physical constants and conversion factors (e.g., 3,785, 1.057) This problem helps illustrate the use of unit conversion in practical applications such as fuel measurement.
Transcribed Image Text:### Fuel Tank Mass Calculation **Question 3 of 40** A fuel tank holds 22.3 gallons of gasoline. If the density of gasoline is 0.8206 g/mL, what is the mass in kilograms of gasoline in a full tank? #### Explanation: To find the mass in kilograms of gasoline in the fuel tank, follow these steps: 1. **Convert gallons to milliliters (mL)**: - 1 gallon = 3,785.41 mL - Volume in mL = 22.3 gallons × 3,785.41 mL/gallon 2. **Calculate the mass in grams (g)** using the density formula: - Density (ρ) = Mass (m) / Volume (V) - Mass (m) = Density (ρ) × Volume (V) - Density of gasoline = 0.8206 g/mL 3. **Convert grams to kilograms (kg)**: - 1 kilogram = 1,000 grams - Mass in kg = Mass in g / 1,000 #### Steps: - `22.3 gallons × 3,785.41 mL/gallon = 84,416.643 mL` - `Mass in grams = 0.8206 g/mL × 84,416.643 mL = 69,259.4848 g` - `Mass in kilograms = 69,259.4848 g / 1,000 = 69.259 kg` So, the mass of gasoline in a full tank is **69.259 kilograms**. #### Interface Elements: - **Add Factor Section**: This section provides factors and values to use for calculations. - **Answer Box**: This box is where the final answer is entered. - **Reset Button**: This button allows the user to clear the inputs and start over if necessary. #### Calculator Input Keys: - Numerical values and constants (e.g., 6930, 103, 0.001) - Basic arithmetic operations (e.g., ×, ÷) - Physical constants and conversion factors (e.g., 3,785, 1.057) This problem helps illustrate the use of unit conversion in practical applications such as fuel measurement.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Measurement
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
SEE MORE TEXTBOOKS