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When 204 j of heat are absorbed by 150. g of copper at 23.61 ºc, the temperature increases to 27.09 ºc. what is the specific heat of copper?

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Final answer:

The specific heat of copper is calculated using the heat absorbed and the temperatures before and after absorption. The specific heat of copper is found to be 0.390 J/g°C after using the specific heat formula.

Step-by-step explanation:

To calculate the specific heat of copper based on the given parameters, we can use the formula q = mcΔT, where q is the amount of heat absorbed, m is the mass, c is the specific heat, and ΔT is the temperature change.

We have q = 204 J, m = 150 g, ΔT = (27.09 °C - 23.61 °C) = 3.48 °C. Substituting the values we get:

204 J = 150 g × c × 3.48 °C

To find the specific heat (c), we rearrange the formula:

c = 204 J / (150 g × 3.48 °C)

c = 204 J / 522 g°C

c = 0.390 J/g°C

The specific heat of copper is therefore 0.390 J/g°C.

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