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
Placing solid ammonium nitrate, NH4NO3, in a container of water causes an endothermic reaction. The result is ammonium hydroxide, NH4OH, and nitric acid, HNO3. Which diagram shows the correct equation for the reaction?
- A. NH4OH + HNO3 → NH4NO3 + H2O + energy
- B. NH4NO3 + H2O + energy → NH4OH + HNO3
- C. NH4NO3 + H2O → NH4OH + HNO3 + energy
- D. NH4OH + HNO3 + energy → NH4NO3 + H2O
Correct Answer & Rationale
Correct Answer: B
The reaction involving solid ammonium nitrate and water is endothermic, meaning it absorbs energy. Option B accurately reflects this by showing ammonium nitrate and water reacting to form ammonium hydroxide and nitric acid while requiring energy input, consistent with the endothermic nature of the process. Option A incorrectly suggests that energy is released, which contradicts the reaction's endothermic characteristic. Option C also misrepresents the energy aspect, implying that energy is produced, which is not the case. Option D similarly indicates that energy is released, misaligning with the reaction's true nature.
The reaction involving solid ammonium nitrate and water is endothermic, meaning it absorbs energy. Option B accurately reflects this by showing ammonium nitrate and water reacting to form ammonium hydroxide and nitric acid while requiring energy input, consistent with the endothermic nature of the process. Option A incorrectly suggests that energy is released, which contradicts the reaction's endothermic characteristic. Option C also misrepresents the energy aspect, implying that energy is produced, which is not the case. Option D similarly indicates that energy is released, misaligning with the reaction's true nature.
Two people are standing at the edge of a high cliff. One person throws a rock horizontally off the cliff. Which uncontrolled part of this investigation can prevent the rocks from hitting the ground at the same time?
- A. gravity
- B. mass of the rocks
- C. air resistance
- D. strength of the person
Correct Answer & Rationale
Correct Answer: C
When a rock is thrown horizontally, it is influenced by both gravity and air resistance. Gravity acts equally on both rocks, ensuring they fall at the same rate. The mass of the rocks does not affect the time it takes to hit the ground in a vacuum, as all objects fall at the same rate regardless of mass. The strength of the person throwing the rock only affects the initial horizontal velocity, not the fall time. However, air resistance can vary based on the shape and size of the rocks, potentially causing differences in descent time. Thus, air resistance is the uncontrolled factor that can prevent the rocks from hitting the ground simultaneously.
When a rock is thrown horizontally, it is influenced by both gravity and air resistance. Gravity acts equally on both rocks, ensuring they fall at the same rate. The mass of the rocks does not affect the time it takes to hit the ground in a vacuum, as all objects fall at the same rate regardless of mass. The strength of the person throwing the rock only affects the initial horizontal velocity, not the fall time. However, air resistance can vary based on the shape and size of the rocks, potentially causing differences in descent time. Thus, air resistance is the uncontrolled factor that can prevent the rocks from hitting the ground simultaneously.
Which statement from the passage refutes Lavoisier's idea that heat is a fluid that leaves a hot substance and travels to a colder substance?
- A. He also found the brass filings produced from the drilling process contained enough heat to boil water while retaining their weight.
- B. James Joule discovered that heat could be produced by moving a wire through a magnetic field.
- C. Lavoisier demonstrated that oxygen was required for combustion.
- D. Count Rumford observed that the process of boring out cannons from brass cylinders continuously produced heat.
Correct Answer & Rationale
Correct Answer: A
Option A effectively refutes Lavoisier's notion of heat as a fluid by demonstrating that heat can be generated without the transfer of a fluid. The brass filings, despite retaining their weight, produced sufficient heat to boil water, indicating that heat can arise from mechanical processes rather than fluid movement. Option B, while highlighting Joule's discovery of heat production through motion, does not directly address Lavoisier's fluid concept. Option C focuses on combustion and oxygen's role, which is unrelated to the nature of heat itself. Option D describes an observation of heat generation during a mechanical process but does not emphasize the implications for Lavoisier's fluid theory as clearly as A does.
Option A effectively refutes Lavoisier's notion of heat as a fluid by demonstrating that heat can be generated without the transfer of a fluid. The brass filings, despite retaining their weight, produced sufficient heat to boil water, indicating that heat can arise from mechanical processes rather than fluid movement. Option B, while highlighting Joule's discovery of heat production through motion, does not directly address Lavoisier's fluid concept. Option C focuses on combustion and oxygen's role, which is unrelated to the nature of heat itself. Option D describes an observation of heat generation during a mechanical process but does not emphasize the implications for Lavoisier's fluid theory as clearly as A does.
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.