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.
Which statement describes the motion of the object for the first 10 seconds?
- A. The object is moving at a constant speed.
- B. The object is doubling its speed every two seconds.
- C. The object is increasing its height.
- D. The object is accelerating.
Correct Answer & Rationale
Correct Answer: D
The motion of the object for the first 10 seconds indicates that it is accelerating, meaning its speed is increasing over time. Option A is incorrect because constant speed implies no change in velocity, which contradicts the evidence of acceleration. Option B suggests a specific pattern of doubling speed, which is not necessarily true without further information on the object's velocity changes. Option C, while it may imply upward motion, does not capture the essential aspect of acceleration, which is a change in speed rather than just height.
The motion of the object for the first 10 seconds indicates that it is accelerating, meaning its speed is increasing over time. Option A is incorrect because constant speed implies no change in velocity, which contradicts the evidence of acceleration. Option B suggests a specific pattern of doubling speed, which is not necessarily true without further information on the object's velocity changes. Option C, while it may imply upward motion, does not capture the essential aspect of acceleration, which is a change in speed rather than just height.
A diagram of a PV cell being exposed to sunlight is shown below. Click on the labels you want to select and drag them into the boxes to show the components of the PV cell.
- A. Phosphorus-injected layer
- B. Boron-injected layer
- C. Electric field
- D. Energy
Correct Answer & Rationale
Correct Answer: A,B,C
The components of a photovoltaic (PV) cell include the phosphorus-injected layer, which serves as the n-type semiconductor, and the boron-injected layer, acting as the p-type semiconductor. Together, these layers create a junction that facilitates the movement of electrons when exposed to sunlight. The electric field between these layers is crucial for separating charge carriers, enabling electricity generation. Option D, "Energy," is not a structural component of the PV cell but rather a result of its operation. It does not represent a physical part of the cell, making it an incorrect choice.
The components of a photovoltaic (PV) cell include the phosphorus-injected layer, which serves as the n-type semiconductor, and the boron-injected layer, acting as the p-type semiconductor. Together, these layers create a junction that facilitates the movement of electrons when exposed to sunlight. The electric field between these layers is crucial for separating charge carriers, enabling electricity generation. Option D, "Energy," is not a structural component of the PV cell but rather a result of its operation. It does not represent a physical part of the cell, making it an incorrect choice.
What natural process is required to connect the ice core data to the Tunguska Event?
- A. the cycling of carbon in forest fires
- B. the interaction of comets with the solar wind
- C. the movement of glaciers due to gravity
- D. the constant mixing of the atmosphere
Correct Answer & Rationale
Correct Answer: D
Connecting ice core data to the Tunguska Event necessitates understanding atmospheric dynamics, which is achieved through the constant mixing of the atmosphere. This mixing disperses particles and gases, allowing researchers to correlate ice core samples with historical events, including the Tunguska explosion. Option A, the cycling of carbon in forest fires, is unrelated to the atmospheric conditions or the specific data derived from ice cores. Option B, the interaction of comets with the solar wind, pertains to space phenomena rather than terrestrial atmospheric processes. Option C, the movement of glaciers due to gravity, describes glacial dynamics but does not address the atmospheric mixing needed to link ice core data to the event.
Connecting ice core data to the Tunguska Event necessitates understanding atmospheric dynamics, which is achieved through the constant mixing of the atmosphere. This mixing disperses particles and gases, allowing researchers to correlate ice core samples with historical events, including the Tunguska explosion. Option A, the cycling of carbon in forest fires, is unrelated to the atmospheric conditions or the specific data derived from ice cores. Option B, the interaction of comets with the solar wind, pertains to space phenomena rather than terrestrial atmospheric processes. Option C, the movement of glaciers due to gravity, describes glacial dynamics but does not address the atmospheric mixing needed to link ice core data to the event.