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QuestionPhysics

Which statement defines the heat capacity of a sample? A. The temperature of a given sample. B. The temperature that a given sample can withstand. C. The quantity of heat that is required to raise the sample’s temperature by 1°C (or Kelvin). D. The quantity of heat that is required to raise 1 g of the sample by 1°C (or Kelvin) at a given pressure.
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Answer

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Step 1:
Let's solve this step by step:

Step 2:
: Understand the concept of heat capacity

Heat capacity is a physical property that describes how much thermal energy a substance can absorb or release when its temperature changes.

Step 3:
: Analyze the given options

Let's carefully examine each option: A. This describes temperature, not heat capacity B. This describes temperature resistance, not heat capacity C. This is close to the definition of heat capacity, but not precise D. This describes specific heat capacity, which is a more precise definition

Step 4:
: Define heat capacity

Heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree.

Step 5:
: Distinguish between heat capacity and specific heat capacity

- Heat capacity refers to the total heat required for a specific sample - Specific heat capacity refers to the heat required per unit mass (typically per gram or kilogram)

Step 6:
: Identify the correct answer

Option C is the closest to the definition of heat capacity, but Option D provides the most precise definition of specific heat capacity.

Final Answer

The quantity of heat that is required to raise 1 g of the sample by 1°C (or Kelvin) at a given pressure. Key Insight: Specific heat capacity (c) is mathematically expressed as: c = \frac{Q}{m \Delta T} Where: - Q is heat energy added - m is mass of the substance - \Delta T is temperature change