Specific heat is a measure of how much heat energy must be added to one gram of a substance to cause a one degree Celsius increase in temperature. The formula for this relationship is:
Q= c*m* AT
• Q is the amount of heat added to the substance;
• c is the specific heat of the substance;
• m is the mass of the substance; and
• AT is the change in temperature of the substance.
A substance has a mass of 10 grams. This substance has 45 joules of heat added to it, and the change in temperature is 5 degrees. What is the specific heat of the substance? J/gK
Correct Answer & Rationale
Correct Answer: 0.9
To determine the specific heat, we use the formula \( c = \frac{Q}{m \Delta T} \), where \( Q \) is the heat added (45 J), \( m \) is the mass (10 g), and \( \Delta T \) is the temperature change (5 °C). Plugging in the values: \( c = \frac{45 \, \text{J}}{10 \, \text{g} \times 5 \, \text{°C}} = 0.9 \, \text{J/g°C} \). Other options may arise from calculation errors, such as misapplying the formula or using incorrect units. For instance, if one mistakenly divides by a different temperature change or mass, it would yield incorrect specific heat values. Thus, 0.9 J/gK accurately reflects the relationship between heat, mass, and temperature change for this substance.
To determine the specific heat, we use the formula \( c = \frac{Q}{m \Delta T} \), where \( Q \) is the heat added (45 J), \( m \) is the mass (10 g), and \( \Delta T \) is the temperature change (5 °C). Plugging in the values: \( c = \frac{45 \, \text{J}}{10 \, \text{g} \times 5 \, \text{°C}} = 0.9 \, \text{J/g°C} \). Other options may arise from calculation errors, such as misapplying the formula or using incorrect units. For instance, if one mistakenly divides by a different temperature change or mass, it would yield incorrect specific heat values. Thus, 0.9 J/gK accurately reflects the relationship between heat, mass, and temperature change for this substance.
Other Related Questions
Which statement explains the central idea of the passage?
- A. People should consume as much magnesium as possible to ensure good cardiovascular health.
- B. People may experience health benefits from drinking hard water because it contains magnesium.
- C. People who live in rural environments are healthier than people who live in urban environments.
- D. People should stop the practice of softening water because it removes minerals that are necessary for good health.
Correct Answer & Rationale
Correct Answer: B
Option B accurately reflects the central idea by highlighting the potential health benefits of magnesium found in hard water. This aligns with the passage's focus on the relationship between magnesium intake and cardiovascular health. Option A is misleading as it suggests an excessive intake of magnesium is necessary, while the passage likely emphasizes balance rather than maximum consumption. Option C incorrectly generalizes health comparisons between rural and urban populations without specific evidence from the passage. Option D misrepresents the passage's message by implying a complete cessation of water softening, rather than discussing the importance of maintaining essential minerals like magnesium.
Option B accurately reflects the central idea by highlighting the potential health benefits of magnesium found in hard water. This aligns with the passage's focus on the relationship between magnesium intake and cardiovascular health. Option A is misleading as it suggests an excessive intake of magnesium is necessary, while the passage likely emphasizes balance rather than maximum consumption. Option C incorrectly generalizes health comparisons between rural and urban populations without specific evidence from the passage. Option D misrepresents the passage's message by implying a complete cessation of water softening, rather than discussing the importance of maintaining essential minerals like magnesium.
Correct Answer & Rationale
Correct Answer:
Certainly! Please provide the question and the options so I can create the rationale for you.
Certainly! Please provide the question and the options so I can create the rationale for you.
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.
According to the passage, which statement about hybrid lovebirds is true?
- A. Nest-building behavior can be used to determine evolutionary relationships between lovebird species.
- B. Hybrid lovebirds use nest-building material in ways they learn from the parents.
- C. Nest-building behavior in hybrid lovebirds is a mixture of the parents' behaviors.
- D. Hybrid lovebirds build complex nests using smaller pieces of nest-building material.
Correct Answer & Rationale
Correct Answer: C
Hybrid lovebirds exhibit nest-building behavior that reflects a combination of their parents' distinct styles, showcasing the influence of both species in their hybrid traits. This blending of behaviors illustrates how hybridization can lead to unique adaptations. Option A is incorrect as the passage does not indicate that nest-building behavior is a reliable indicator of evolutionary relationships. Option B is misleading; while learning from parents is important, the focus is on the integration of behaviors rather than direct imitation. Option D is inaccurate; the passage does not mention the complexity of nests or the size of materials used, making this statement unsupported.
Hybrid lovebirds exhibit nest-building behavior that reflects a combination of their parents' distinct styles, showcasing the influence of both species in their hybrid traits. This blending of behaviors illustrates how hybridization can lead to unique adaptations. Option A is incorrect as the passage does not indicate that nest-building behavior is a reliable indicator of evolutionary relationships. Option B is misleading; while learning from parents is important, the focus is on the integration of behaviors rather than direct imitation. Option D is inaccurate; the passage does not mention the complexity of nests or the size of materials used, making this statement unsupported.