Question

Samples of two different metals, A and B, have the same mass. Both samples absorb the same amount of energy. The temperature of $A$ increases by $11^{\circ} \mathrm{C},$ and the sample of $\mathrm{B}$ increases by $13^{\circ} \mathrm{C} .$ Which metal has the higher specific heat? Explain your reasoning.

Name: Problem 75, Chapter 15: Introductory Chemistry: An Active Learning Approach
Uploaded: 2020-10-25T13:41:35-08:00
Duration: 1 min 21 s
Channel: Shazia Naz
Description: Samples of two different metals, A and B, have the same mass. Both samples absorb the same amount of energy. The temperature of A increases by 11^∘ C, and the sample of B increases by 13^∘ C . Which metal has the higher specific heat? Explain your reasoning.

   Samples of two different metals, A and B, have the same mass. Both samples absorb the same amount of energy. The temperature of $A$ increases by $11^{\circ} \mathrm{C},$ and the sample of $\mathrm{B}$ increases by $13^{\circ} \mathrm{C} .$ Which metal has the higher specific heat? Explain your reasoning.

Introductory Chemistry: An Active Learning Approach

Mark S. Cracolice,… 3rd Edition

Chapter 15, Problem 75

Instant Answer

Solved by Expert Shazia Naz

10/25/2020

Step 1

In this equation, $\mathrm{q}$ is the amount of heat absorbed, $\mathrm{m}$ is the mass of the object, $\mathrm{c}$ is the specific heat of the object, and $\Delta \mathrm{T}$ is the change in temperature. Show more…

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Samples of two different metals, A and B, have the same mass. Both samples absorb the same amount of energy. The temperature of $A$ increases by $11^{\circ} \mathrm{C},$ and the sample of $\mathrm{B}$ increases by $13^{\circ} \mathrm{C} .$ Which metal has the higher specific heat? Explain your reasoning.

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Key Concepts

Specific Heat Capacity

Specific heat capacity is a property of a material that quantifies the amount of heat energy required to raise the temperature of a unit mass by one degree Celsius (or one Kelvin). It serves as a measure of how well a substance can store thermal energy, with higher values indicating that more energy is needed for a given temperature rise.

Heat Energy Transfer Equation (Q = mc?T)

The equation Q = mc?T establishes the relationship between the heat energy absorbed or released (Q), the mass of the substance (m), its specific heat capacity (c), and the resulting temperature change (?T). This relationship implies that for a fixed mass and fixed amount of energy, a substance with a lower specific heat capacity will undergo a larger temperature change compared to one with a higher specific heat capacity.

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