Different types of light bulbs use different amounts of electricity. Electricity use is measured in kilowatt hours (kWh). The electricity use per hour (kWh) of an electrical device can be calculated using the following equation:
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.
Other Related Questions
Scientists are Interested in whether certain greenhouse gases have helped cause I recent temperature increases. The graph presents data on carbon dioxide and methane gas levels in the atmosphere for the past several centuries. Human activities began producing large quantities of both gases in the 1700s. This graph, combined with information from--------------------, supports ----------------------.
- A. The Milankovitch climate change model
- B. paragraph 3
- C. The anthropogenic climate change model
- D. Paragraph 2
Correct Answer & Rationale
Correct Answer: B, C
The graph illustrates the correlation between rising greenhouse gas levels and temperature increases, supporting the anthropogenic climate change model, which attributes climate change to human activities. Options B and C effectively connect the visual data with the broader context of human influence on climate. Option A, referencing the Milankovitch model, is incorrect as this model focuses on natural Earth cycles, not human impact. Option D lacks specificity and does not directly relate to the evidence presented in the graph. Thus, B and C provide the most relevant support for understanding the relationship between greenhouse gas emissions and climate change.
The graph illustrates the correlation between rising greenhouse gas levels and temperature increases, supporting the anthropogenic climate change model, which attributes climate change to human activities. Options B and C effectively connect the visual data with the broader context of human influence on climate. Option A, referencing the Milankovitch model, is incorrect as this model focuses on natural Earth cycles, not human impact. Option D lacks specificity and does not directly relate to the evidence presented in the graph. Thus, B and C provide the most relevant support for understanding the relationship between greenhouse gas emissions and climate change.
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.
Limestone and marble are often used in buildings. Both types of rock contain calcium carbonate, which is sensitive to chemical weathering by acids. A scientist conducted an experiment to test the effect of acid strength on calcium carbonate... Which change would reduce the possibility of error in the experiment?
- A. performing the experiment with a different acid in the solution
- B. performing multiple trials for each solution pH
- C. using more of the acidic solution
- D. using a solution with a pH below 3.00
Correct Answer & Rationale
Correct Answer: B
Performing multiple trials for each solution pH enhances the reliability of the experiment by allowing for the identification of consistent patterns and minimizing the impact of random errors. This approach provides a more accurate average result, leading to valid conclusions about the effect of acid strength on calcium carbonate. Option A introduces a variable that may not be relevant to the original question, potentially complicating the results. Option C does not address the variability inherent in a single trial, which could skew results. Option D restricts the experiment to a specific range of acidity, limiting the exploration of acid strength effects across a broader spectrum.
Performing multiple trials for each solution pH enhances the reliability of the experiment by allowing for the identification of consistent patterns and minimizing the impact of random errors. This approach provides a more accurate average result, leading to valid conclusions about the effect of acid strength on calcium carbonate. Option A introduces a variable that may not be relevant to the original question, potentially complicating the results. Option C does not address the variability inherent in a single trial, which could skew results. Option D restricts the experiment to a specific range of acidity, limiting the exploration of acid strength effects across a broader spectrum.
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.