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
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.
The Punnett square below shows a cross between a male long-haired cat with white fur and a female short-haired cat with colored fur... what is the most likely number of long-haired kittens with colored fur?
- A. 10
- B. 20
- C. 30
- D. 60
Correct Answer & Rationale
Correct Answer: A
In a Punnett square, the genetic traits of the parents are combined to predict offspring traits. Long hair (L) is dominant over short hair (l), and colored fur (C) is dominant over white fur (c). The male cat is homozygous for long hair and white fur (LLcc), while the female is homozygous for short hair and colored fur (llCC). The resulting genotype for the kittens will be LlCc, indicating they will all have long hair and colored fur. Option A (10) reflects the expected number of long-haired, colored kittens based on the given parental genotypes. Options B (20), C (30), and D (60) suggest higher numbers that do not align with the predicted offspring ratio from the cross, thus they are incorrect.
In a Punnett square, the genetic traits of the parents are combined to predict offspring traits. Long hair (L) is dominant over short hair (l), and colored fur (C) is dominant over white fur (c). The male cat is homozygous for long hair and white fur (LLcc), while the female is homozygous for short hair and colored fur (llCC). The resulting genotype for the kittens will be LlCc, indicating they will all have long hair and colored fur. Option A (10) reflects the expected number of long-haired, colored kittens based on the given parental genotypes. Options B (20), C (30), and D (60) suggest higher numbers that do not align with the predicted offspring ratio from the cross, thus they are incorrect.
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.
The graph shows results from a study that sought to determine average exposure to triclosan in the U.S. population. Which statement is supported by the results in the graph?
- A. Triclosan concentration does not vary significantly among different age groups.
- B. Increased levels of triclosan in urine are related to increased age.
- C. Triclosan concentration in urine is highest in the 30- to 39-year-old age group.
- D. People aged 20-29 likely use more products containing triclosan.
Correct Answer & Rationale
Correct Answer: C
The data indicates that the highest triclosan concentration in urine occurs in the 30- to 39-year-old age group, supporting option C. This finding highlights a specific peak in exposure among this demographic. Option A is incorrect as the graph likely shows variation in triclosan levels across age groups. Option B misinterprets the data; the graph does not suggest that triclosan levels increase with age. Option D assumes usage patterns without evidence from the graph, which focuses on urinary concentration rather than product usage.
The data indicates that the highest triclosan concentration in urine occurs in the 30- to 39-year-old age group, supporting option C. This finding highlights a specific peak in exposure among this demographic. Option A is incorrect as the graph likely shows variation in triclosan levels across age groups. Option B misinterprets the data; the graph does not suggest that triclosan levels increase with age. Option D assumes usage patterns without evidence from the graph, which focuses on urinary concentration rather than product usage.