Other Thermodynamic Principles

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Physical Chemistry › Other Thermodynamic Principles

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If a $140\textup{ g}$ copper wire gains $280\textup{ J}$ of heat, what is the change in temperature of the wire?

$C_{\text{copper}}=0.384 \ \frac{\text J}{\text{g}^\circ \text C}$

$5.2^\circ \text{C}$

$0.19^\circ \text{C}$

$0.77^\circ \text{C}$

$15^\circ \text{C}$

$1.3^\circ \text{C}$

Explanation

The thermal energy an object contains is given by:

$q=mC\Delta T$

Where is the specific heat, $\Delta T$ is the change in temperature, is the mass, and is the amount of energy. We are given everything but the $\Delta T$ , so we rearrange the equation to $\Delta T= \frac{q}{mC}$

Plug in known values and solve:

$\Delta T=\frac{280}{140*0.384}=5.2^\circ \text{C}$

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