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A 200.0 g copper block absorbs 2.34x10^3 J of heat to raise its temperature by 30.0 K. What is the specific heat of copper? Show your work.

Answer :

If an object with mass m absorbs an amount Q of heat and increases its temperature by ΔT, the specific heat (c) of the material is defined as:

[tex]c=\frac{Q}{m\Delta T}[/tex]

The specific heat is the amount of heat per unit mass needed to increase the temperature of a sample, per unit temperature.

Replace Q=2.34*10^3J, m=0.2kg and ΔT=30K to find the specific heat of copper:

[tex]c=\frac{2.34\times10^3J}{(0.2kg)(30K)}=390\frac{J}{kg\cdot K}[/tex]

Therefore, the specific heat of copper is 390 J/(kg*K).

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