comparing specific heats

four samples of brass with different masses are left in the sun with an initial temperature of 20 °c. which sample will absorb the most energy if the temperature increases to 75 °c at the end of 1 hour?

Question

comparing specific heats

four samples of brass with different masses are left in the sun with an initial temperature of 20 °c. which sample will absorb the most energy if the temperature increases to 75 °c at the end of 1 hour?

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "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" ] } ## Express heat absorbed in terms of mass and temperature change $$ Q = m \cdot c \cdot \Delta T $$ ## Determine constant parameters and variables $$ \begin{aligned} &c = \text{constant (all samples are brass)} \ &\Delta T = 75^\circ\text{C} - 20^\circ\text{C} = 55^\circ\text{C} = \text{constant} \ &Q \propto m \end{aligned} $$ ## Identify the sample with the maximum energy absorption $$ Q_{\text{max}} \iff m_{\text{max}} $$ The sample with the largest mass will absorb the most energy. { "subject": "Natural Science", "question_type": "Free Response", "knowledge_point": [ "Natural Science", "Physics", "Heat Transfer Equation" ] }

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Question

Explanation:

Express heat absorbed in terms of mass and temperature change

Determine constant parameters and variables

Identify the sample with the maximum energy absorption

Answer: