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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...
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### 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.
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