The energy density of a fuel is the amount of useful energy stored in a specific amount of that fuel. The energy density, measured in megajoules per kilogram (MJ/kg), is related to the chemical composition of the fuel.
The chemical composition and energy density of four fuels are shown in the table. Ethane, which has a chemical composition of C2H6, is also a fuel. What is the predicted energy density of ethane?
- A. 45 MJ/kg
- B. 42 MJ/kg
- C. 52 MJ/kg
- D. 48 MJ/kg
Correct Answer & Rationale
Correct Answer: C
To determine the predicted energy density of ethane (C2H6), one can analyze its molecular structure and compare it to the energy densities of similar hydrocarbons listed in the table. Ethane, being an alkane, typically has a higher energy density due to its saturated carbon-hydrogen bonds. Option A (45 MJ/kg) is lower than expected for alkanes of similar size. Option B (42 MJ/kg) underestimates the energy density, as it does not align with the general trend for hydrocarbons. Option D (48 MJ/kg) is closer but still below the typical range for ethane. Thus, option C (52 MJ/kg) aligns with the expected energy density for ethane, reflecting its molecular composition and energy potential.
To determine the predicted energy density of ethane (C2H6), one can analyze its molecular structure and compare it to the energy densities of similar hydrocarbons listed in the table. Ethane, being an alkane, typically has a higher energy density due to its saturated carbon-hydrogen bonds. Option A (45 MJ/kg) is lower than expected for alkanes of similar size. Option B (42 MJ/kg) underestimates the energy density, as it does not align with the general trend for hydrocarbons. Option D (48 MJ/kg) is closer but still below the typical range for ethane. Thus, option C (52 MJ/kg) aligns with the expected energy density for ethane, reflecting its molecular composition and energy potential.
Other Related Questions
Maria places a rock in a graduated cylinder containing some water as a step in calculating the density of the rock, as shown below. What is the combined volume of the water and rock in the graduated cylinder?
- A. 9 mL
- B. 26 mL
- C. 30 mL
- D. 15 mL
Correct Answer & Rationale
Correct Answer: C
To determine the combined volume of the water and rock in the graduated cylinder, we need to consider the displacement method. When Maria adds the rock to the water, the water level rises according to the volume of the rock. If the initial water level was, for example, 20 mL, and the rock displaces an additional 10 mL, the total volume would be 30 mL. Option A (9 mL) is too low, as it does not account for the volume of both the water and the rock. Option B (26 mL) may suggest a smaller rock or lower initial water level, but does not reflect typical measurements. Option D (15 mL) is also too low, failing to include the rock's volume adequately. Thus, 30 mL accurately represents the total volume when both water and rock are combined.
To determine the combined volume of the water and rock in the graduated cylinder, we need to consider the displacement method. When Maria adds the rock to the water, the water level rises according to the volume of the rock. If the initial water level was, for example, 20 mL, and the rock displaces an additional 10 mL, the total volume would be 30 mL. Option A (9 mL) is too low, as it does not account for the volume of both the water and the rock. Option B (26 mL) may suggest a smaller rock or lower initial water level, but does not reflect typical measurements. Option D (15 mL) is also too low, failing to include the rock's volume adequately. Thus, 30 mL accurately represents the total volume when both water and rock are combined.
The roller coaster diagram shows a set of cars moving downward from position 1 to position 2. As the cars travel from position 1 toward position 2, their...
- A. gravitational potential energy; total energy
- B. kinetic energy; gravitational potential energy
- C. total energy; kinetic energy
- D. gravitational potential energy; kinetic energy
Correct Answer & Rationale
Correct Answer: A
As the roller coaster cars move from position 1 to position 2, they descend, resulting in a decrease in gravitational potential energy due to their lower height. However, their total energy—comprising both kinetic and potential energy—remains constant, assuming negligible friction. Option B incorrectly suggests that kinetic energy increases while gravitational potential energy decreases, but it does not address total energy. Option C misrepresents the relationship by stating total energy changes, which it does not. Option D also fails, as it inaccurately implies that gravitational potential energy is the only energy type being discussed.
As the roller coaster cars move from position 1 to position 2, they descend, resulting in a decrease in gravitational potential energy due to their lower height. However, their total energy—comprising both kinetic and potential energy—remains constant, assuming negligible friction. Option B incorrectly suggests that kinetic energy increases while gravitational potential energy decreases, but it does not address total energy. Option C misrepresents the relationship by stating total energy changes, which it does not. Option D also fails, as it inaccurately implies that gravitational potential energy is the only energy type being discussed.
A 60W light bulb used .48 kilowatt hours of electricity. How long was the light bulb on?
- A. 0.48 hours
- B. 28.8 hours
- C. 0.125 hours
- D. 8 hours
Correct Answer & Rationale
Correct Answer: D
To determine how long the 60W light bulb was on, we first convert the energy used from kilowatt hours to watt hours: 0.48 kWh equals 480 watt hours. Using the formula: time (hours) = energy (watt hours) / power (watts), we calculate: 480 watt hours / 60 watts = 8 hours. Option A (0.48 hours) underestimates the time significantly. Option B (28.8 hours) incorrectly suggests the bulb was on much longer than the energy consumed allows. Option C (0.125 hours) miscalculates by assuming a much higher power consumption. Only option D accurately reflects the time the bulb was on based on the energy used.
To determine how long the 60W light bulb was on, we first convert the energy used from kilowatt hours to watt hours: 0.48 kWh equals 480 watt hours. Using the formula: time (hours) = energy (watt hours) / power (watts), we calculate: 480 watt hours / 60 watts = 8 hours. Option A (0.48 hours) underestimates the time significantly. Option B (28.8 hours) incorrectly suggests the bulb was on much longer than the energy consumed allows. Option C (0.125 hours) miscalculates by assuming a much higher power consumption. Only option D accurately reflects the time the bulb was on based on the energy used.
Placing solid ammonium nitrate, NH4NO3, in a container of water causes an endothermic reaction. The result is ammonium hydroxide, NH4OH, and nitric acid, HNO3. Which diagram shows the correct equation for the reaction?
- A. NH4OH + HNO3 → NH4NO3 + H2O + energy
- B. NH4NO3 + H2O + energy → NH4OH + HNO3
- C. NH4NO3 + H2O → NH4OH + HNO3 + energy
- D. NH4OH + HNO3 + energy → NH4NO3 + H2O
Correct Answer & Rationale
Correct Answer: B
The reaction involving solid ammonium nitrate and water is endothermic, meaning it absorbs energy. Option B accurately reflects this by showing ammonium nitrate and water reacting to form ammonium hydroxide and nitric acid while requiring energy input, consistent with the endothermic nature of the process. Option A incorrectly suggests that energy is released, which contradicts the reaction's endothermic characteristic. Option C also misrepresents the energy aspect, implying that energy is produced, which is not the case. Option D similarly indicates that energy is released, misaligning with the reaction's true nature.
The reaction involving solid ammonium nitrate and water is endothermic, meaning it absorbs energy. Option B accurately reflects this by showing ammonium nitrate and water reacting to form ammonium hydroxide and nitric acid while requiring energy input, consistent with the endothermic nature of the process. Option A incorrectly suggests that energy is released, which contradicts the reaction's endothermic characteristic. Option C also misrepresents the energy aspect, implying that energy is produced, which is not the case. Option D similarly indicates that energy is released, misaligning with the reaction's true nature.