how much energy is needed to raise the temperature of 10 g of brick compared to 10 g of clay, each by 10 °c?

$c_{\text{clay}} = 1.38\ \frac{\text{j}}{\text{g} \cdot ^{\circ}\text{c}}$

$c_{\text{brick}} = 0.84\ \frac{\text{j}}{\text{g} \cdot ^{\circ}\text{c}}$

- the energy required to raise either substances temperature cannot be determined.
- the brick requires more energy to increase the temperature.

Question

how much energy is needed to raise the temperature of 10 g of brick compared to 10 g of clay, each by 10 °c?

$c_{\text{clay}} = 1.38\ \frac{\text{j}}{\text{g} \cdot ^{\circ}\text{c}}$

$c_{\text{brick}} = 0.84\ \frac{\text{j}}{\text{g} \cdot ^{\circ}\text{c}}$

- the energy required to raise either substances temperature cannot be determined.
- the brick requires more energy to increase the temperature.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Specific Heat Capacity", "Heat Transfer Equation" ], "new_concepts": [], "current_concepts": [ "Specific Heat Capacity", "Heat Transfer Equation" ] } ## Calculate the heat energy required for clay $$ \begin{aligned} Q_{\text{clay}} &= m \cdot c_{\text{clay}} \cdot \Delta T \ Q_{\text{clay}} &= 10\text{ g} \cdot 1.38\text{ J}/(\text{g}\cdot^\circ\text{C}) \cdot 10^\circ\text{C} = 138\text{ J} \end{aligned} $$ ## Calculate the heat energy required for brick $$ \begin{aligned} Q_{\text{brick}} &= m \cdot c_{\text{brick}} \cdot \Delta T \ Q_{\text{brick}} &= 10\text{ g} \cdot 0.84\text{ J}/(\text{g}\cdot^\circ\text{C}) \cdot 10^\circ\text{C} = 84\text{ J} \end{aligned} $$ ## Compare the energy requirements $$ \begin{aligned} Q_{\text{clay}} - Q_{\text{brick}} &= 138\text{ J} - 84\text{ J} = 54\text{ J} \ Q_{\text{clay}} &> Q_{\text{brick}} \end{aligned} $$

(A) The energy required to raise either substance's temperature cannot be determined.

(B) The brick requires more energy to increase the temperature.

(C) The brick requires $54\text{ J}$ less energy than the clay.

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Physics", "Thermodynamics" ] }

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Question

Explanation:

Calculate the heat energy required for clay

Calculate the heat energy required for brick

Compare the energy requirements

Answer: