what is the specific heat of a substance if a mass of $10.0\text{ kg}$ increases in temperature from $10.0^\circ\text{c}$ to $70.0^\circ\text{c}$ when $2,520\text{ j}$ of heat is applied?
use $q = mc_p\delta t$.

* $0.00420\text{ j}/(\text{g}\cdot^\circ\text{c})$
* $252\text{ j}/(\text{g}\cdot^\circ\text{c})$
* $238\text{ j}/(\text{g}\cdot^\circ\text{c})$
* $0.00661\text{ j}/(\text{g}\cdot^\circ\text{c})$

Question

what is the specific heat of a substance if a mass of $10.0\text{ kg}$ increases in temperature from $10.0^\circ\text{c}$ to $70.0^\circ\text{c}$ when $2,520\text{ j}$ of heat is applied?
use $q = mc_p\delta t$.

* $0.00420\text{ j}/(\text{g}\cdot^\circ\text{c})$
* $252\text{ j}/(\text{g}\cdot^\circ\text{c})$
* $238\text{ j}/(\text{g}\cdot^\circ\text{c})$
* $0.00661\text{ j}/(\text{g}\cdot^\circ\text{c})$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Specific Heat Capacity" ], "new_concepts": [], "current_concepts": [ "Specific Heat Capacity", "Calorimetry" ] } ## Identify given parameters Using the *Specific Heat Capacity* knowledge point $$ \begin{aligned} m &= 10.0\text{ kg} = 10,000\text{ g} \ T_i &= 10.0^\circ\text{C} \ T_f &= 70.0^\circ\text{C} \ q &= 2,520\text{ J} \end{aligned} $$ ## Calculate temperature change Using the *Specific Heat Capacity* knowledge point $$ \begin{aligned} \Delta T &= T_f - T_i \ \Delta T &= 70.0^\circ\text{C} - 10.0^\circ\text{C} = 60.0^\circ\text{C} \end{aligned} $$ ## Solve for specific heat capacity Using the *Specific Heat Capacity* knowledge point $$ \begin{aligned} q &= m C_p \Delta T \ C_p &= \frac{q}{m \Delta T} \ C_p &= \frac{2,520\text{ J}}{10,000\text{ g} \times 60.0^\circ\text{C}} \ C_p &= \frac{2,520}{600,000}\text{ J}/(\text{g}\cdot^\circ\text{C}) \ C_p &= 0.00420\text{ J}/(\text{g}\cdot^\circ\text{C}) \end{aligned} $$

(A) $0.00420\text{ J}/(\text{g}\cdot^\circ\text{C})$

(B) $252\text{ J}/(\text{g}\cdot^\circ\text{C})$

(C) $238\text{ J}/(\text{g}\cdot^\circ\text{C})$

(D) $0.00661\text{ J}/(\text{g}\cdot^\circ\text{C})$

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Chemistry", "Specific Heat Capacity" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify given parameters

Calculate temperature change

Solve for specific heat capacity

Answer: