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
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.
Scientists can indirectly observe temperatures and insolation (the Intensity or direct solar radiation) in the distant past by measuring oxygen isotope ratios in ice cores collected from polar ice. The graph presents data for the period from what ta200.000 years ago. What time period in the graph shows the greatest correlation between Milankovitch cycles and climate?
- A. 140,000-160,000 years ago
- B. 120,000-140,000 years ago
- C. 100,000-120,000 years ago
- D. 160,000-180,000 years ago
Correct Answer & Rationale
Correct Answer: C
The time period from 100,000 to 120,000 years ago exhibits the greatest correlation between Milankovitch cycles and climate, as evidenced by significant fluctuations in temperature and insolation reflected in the oxygen isotope ratios. This interval aligns closely with the timing of glacial and interglacial periods influenced by Earth's orbital changes. Options A and B show notable climate changes, but they do not align as strongly with Milankovitch cycles, indicating less correlation. Option D, while part of the broader glacial cycle, reveals less pronounced temperature shifts, making it less relevant to the question of correlation.
The time period from 100,000 to 120,000 years ago exhibits the greatest correlation between Milankovitch cycles and climate, as evidenced by significant fluctuations in temperature and insolation reflected in the oxygen isotope ratios. This interval aligns closely with the timing of glacial and interglacial periods influenced by Earth's orbital changes. Options A and B show notable climate changes, but they do not align as strongly with Milankovitch cycles, indicating less correlation. Option D, while part of the broader glacial cycle, reveals less pronounced temperature shifts, making it less relevant to the question of correlation.
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.
which sentence describes a difference between artificial selection and natural selection?
- A. In natural selection, variation is heritable; in artificial selection, variation is not heritable.
- B. In natural selection, there is differential reproduction; in artificial selection, there is not differential reproduction.
- C. In natural selection, there is variation within the population of organisms; in artificial selection, there is no variation within the population or organisms.
- D. In natural selection, reproductive success is driven by naturally occurring processes; in artificial selection, reproductive success is driven by human-imposed processes.
Correct Answer & Rationale
Correct Answer: D
Natural selection occurs through naturally occurring processes where organisms with advantageous traits are more likely to survive and reproduce, leading to evolutionary change over time. In contrast, artificial selection involves human intervention, where specific traits are chosen for breeding based on human preferences. Option A is incorrect; both types of selection involve heritable variation. Option B misrepresents artificial selection, which also involves differential reproduction based on selected traits. Option C is inaccurate as artificial selection can still involve variation within the chosen traits. Thus, option D accurately highlights the fundamental distinction between the two processes.
Natural selection occurs through naturally occurring processes where organisms with advantageous traits are more likely to survive and reproduce, leading to evolutionary change over time. In contrast, artificial selection involves human intervention, where specific traits are chosen for breeding based on human preferences. Option A is incorrect; both types of selection involve heritable variation. Option B misrepresents artificial selection, which also involves differential reproduction based on selected traits. Option C is inaccurate as artificial selection can still involve variation within the chosen traits. Thus, option D accurately highlights the fundamental distinction between the two processes.