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QuestionPhysics

What is the specific heat capacity of zinc if it requires 146 J to raise the temperature of 15 grams of zinc by 25°C?
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Answer

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Step 1:
Let's solve this problem step by step using the specific heat capacity formula.

Step 2:
: Identify the given information

- Mass of zinc (m) = 15 grams - Energy added (Q) = 146 J - Temperature change (ΔT) = 25°C

Step 3:
: Recall the formula for specific heat capacity

- $$\Delta T$$ = change in temperature
Where:

Step 4:
: Substitute the known values into the formula

c = \frac{146 \text{ J}}{(15 \text{ g}) \times (25 \text{°C})}

Step 5:
: Calculate the specific heat capacity

c = \frac{146 \text{ J}}{375 \text{ g} \cdot \text{°C}}

Step 6:
: Simplify the calculation

c = 0.389 \text{ J} \cdot \text{g}^{-1} \cdot \text{°C}^{-1}

Final Answer

The specific heat capacity of zinc is 0.389 J/(g·°C).