A scientist studying solubility increased the temperature of a constant volume of water and measured the amount of sugar that dissolved into solution... Which of the following describes the relationship between the independent and dependent variables?
- A. As the amount of dissolved sugar increased, the temperature of the water decreased.
- B. As the water temperature increased, the amount of dissolved sugar increased.
- C. As the amount of dissolved sugar increased, the amount of water remained constant.
- D. As the water temperature increased, the amount of water decreased.
Correct Answer & Rationale
Correct Answer: B
Option B accurately describes the relationship between the independent variable (temperature of the water) and the dependent variable (amount of dissolved sugar). As temperature rises, solubility typically increases, allowing more sugar to dissolve. Option A incorrectly suggests an inverse relationship; higher temperatures do not cause the amount of dissolved sugar to decrease. Option C, while true, does not address the relationship between the two variables in question. Option D incorrectly implies that increasing temperature leads to a decrease in water volume, which is not relevant in this context.
Option B accurately describes the relationship between the independent variable (temperature of the water) and the dependent variable (amount of dissolved sugar). As temperature rises, solubility typically increases, allowing more sugar to dissolve. Option A incorrectly suggests an inverse relationship; higher temperatures do not cause the amount of dissolved sugar to decrease. Option C, while true, does not address the relationship between the two variables in question. Option D incorrectly implies that increasing temperature leads to a decrease in water volume, which is not relevant in this context.
Other Related Questions
Which statement correctly summarizes this information?
- A. Hemochromatosis is a dominant genetic disease caused by a single mutation.
- B. Hemochromatosis is a recessive genetic disease, but is caused by a lack of iron.
- C. Hemochromatosis is a recessive genetic disease, but the expression differs in individuals.
- D. Hemochromatosis is a dominant genetic disease that can be caused by several different alleles.
Correct Answer & Rationale
Correct Answer: C
Hemochromatosis is indeed a recessive genetic disorder, meaning that two copies of the mutated gene are typically required for the disease to manifest. Option A incorrectly categorizes it as a dominant disease, which does not align with its genetic inheritance pattern. Option B misstates the condition, as hemochromatosis is characterized by iron overload, not a deficiency. Option D also misrepresents the disease; while there are different alleles involved, hemochromatosis is primarily recessive, not dominant, making option C the most accurate summary of the information.
Hemochromatosis is indeed a recessive genetic disorder, meaning that two copies of the mutated gene are typically required for the disease to manifest. Option A incorrectly categorizes it as a dominant disease, which does not align with its genetic inheritance pattern. Option B misstates the condition, as hemochromatosis is characterized by iron overload, not a deficiency. Option D also misrepresents the disease; while there are different alleles involved, hemochromatosis is primarily recessive, not dominant, making option C the most accurate summary of the information.
What is the relationship between the kinetic energy of the feather and of the hammer just before they hit the surface of the Moon?
- A. The hammer has more kinetic energy than the feather because it has a greater mass.
- B. Both objects have the same kinetic energy because they fell with the same velocity.
- C. The hammer has more kinetic energy than the feather because it will accelerate faster than the feather.
- D. Both objects have the same kinetic energy because gravity pulls on both objects equally.
Correct Answer & Rationale
Correct Answer: A
The hammer possesses more kinetic energy than the feather due to its greater mass, as kinetic energy is calculated using the formula KE = 0.5 * mass * velocity². While both objects fall at the same rate in a vacuum, their velocities are equal, but the hammer’s larger mass results in higher kinetic energy. Option B is incorrect because, although they have the same velocity, kinetic energy also depends on mass. Option C misrepresents the situation; both objects accelerate at the same rate in a vacuum. Option D is misleading; while gravity affects both equally, it does not determine kinetic energy, which also requires consideration of mass.
The hammer possesses more kinetic energy than the feather due to its greater mass, as kinetic energy is calculated using the formula KE = 0.5 * mass * velocity². While both objects fall at the same rate in a vacuum, their velocities are equal, but the hammer’s larger mass results in higher kinetic energy. Option B is incorrect because, although they have the same velocity, kinetic energy also depends on mass. Option C misrepresents the situation; both objects accelerate at the same rate in a vacuum. Option D is misleading; while gravity affects both equally, it does not determine kinetic energy, which also requires consideration of mass.
Correct Answer & Rationale
Correct Answer:
Certainly! Please provide the question and the options so I can create the rationale for you.
Certainly! Please provide the question and the options so I can create the rationale for you.
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.