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
The cladogram shows the relatedness of several organisms based on shared characteristics. Which characteristic separates catfish from frogs?
- A. Suborbital fenestra
- B. Amniotic egg
- C. Four limbs
- D. Bony skeleton
Correct Answer & Rationale
Correct Answer: B
The presence of an amniotic egg is a key characteristic that distinguishes frogs from catfish. Frogs, as amphibians, undergo a life cycle that includes an aquatic larval stage, while catfish, as fish, do not produce amniotic eggs and instead lay eggs in water. Option A, suborbital fenestra, relates to skull structure and is not a defining characteristic that separates these groups. Option C, four limbs, applies to frogs but not to catfish, which possess fins instead. Option D, bony skeleton, is present in both groups, making it an insufficient distinguishing trait.
The presence of an amniotic egg is a key characteristic that distinguishes frogs from catfish. Frogs, as amphibians, undergo a life cycle that includes an aquatic larval stage, while catfish, as fish, do not produce amniotic eggs and instead lay eggs in water. Option A, suborbital fenestra, relates to skull structure and is not a defining characteristic that separates these groups. Option C, four limbs, applies to frogs but not to catfish, which possess fins instead. Option D, bony skeleton, is present in both groups, making it an insufficient distinguishing trait.
best explains the ammonia deposits found in ice core samples from the time of the Tunguska Event. The evidence that best supports the validity of this hypothesis is the-
- A. Hypothesis 2
- B. heat produced by fast-moving objects in the atmosphere
- C. Hypothesis 1
- D. match between measured and predicted amounts of ammonia
Correct Answer & Rationale
Correct Answer: A,D
The ammonia deposits found in ice core samples from the time of the Tunguska Event suggest a significant environmental impact. Hypothesis 2 (Option A) likely proposes a link between the event and the ammonia presence, making it relevant for explaining the deposits. Option B, which discusses heat from fast-moving objects, does not directly address ammonia production or accumulation. Hypothesis 1 (Option C) may not provide sufficient evidence or detail to support the ammonia findings. Option D highlights the alignment between measured and predicted ammonia levels, reinforcing the validity of Hypothesis 2 as it connects empirical data with theoretical expectations.
The ammonia deposits found in ice core samples from the time of the Tunguska Event suggest a significant environmental impact. Hypothesis 2 (Option A) likely proposes a link between the event and the ammonia presence, making it relevant for explaining the deposits. Option B, which discusses heat from fast-moving objects, does not directly address ammonia production or accumulation. Hypothesis 1 (Option C) may not provide sufficient evidence or detail to support the ammonia findings. Option D highlights the alignment between measured and predicted ammonia levels, reinforcing the validity of Hypothesis 2 as it connects empirical data with theoretical expectations.
Which instruction would be most appropriate for step 2 of the procedure?
- A. Provide both group A and group B participants with a daily magnesium supplement.
- B. Provide group A participants with a daily magnesium supplement and provide group B participants with a daily supplement that contains only inactive ingredients.
- C. Provide group A participants with a high-magnesium supplement and group B participants with a low-magnesium supplement...
- D. Provide both group A and group B participants with guidelines about which foods they should consume.
Correct Answer & Rationale
Correct Answer: B
Option B is the most appropriate instruction for step 2 as it establishes a clear experimental control. By giving group A a magnesium supplement and group B an inactive placebo, it allows for a direct comparison of the effects of magnesium on the participants. Option A is incorrect because it does not create a control group; both groups would receive magnesium, making it impossible to determine its specific effects. Option C is flawed as it introduces an additional variable by varying the magnesium levels between groups, complicating the results. Option D fails to provide a direct intervention, which is essential for assessing the impact of magnesium supplementation.
Option B is the most appropriate instruction for step 2 as it establishes a clear experimental control. By giving group A a magnesium supplement and group B an inactive placebo, it allows for a direct comparison of the effects of magnesium on the participants. Option A is incorrect because it does not create a control group; both groups would receive magnesium, making it impossible to determine its specific effects. Option C is flawed as it introduces an additional variable by varying the magnesium levels between groups, complicating the results. Option D fails to provide a direct intervention, which is essential for assessing the impact of magnesium supplementation.
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.