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Copper wires used to transport electrical current heat up because of the resistance in the wire. If a 14 g wire gains 52.7 J of heat, what is the temperature change of the wire in Celsius degree? Specific heat of Cu = 0.384 J/goC

Respuesta :

Olajidey

Answer:

the change in temperature is 9.8°C

Explanation:

mass of copper wire , m = 14g

specific heat of copper,c = 0.384J/g°C

Heat capacity q = 52.7J

Change in temperature =?

By substituting the above values in the expression below

the change in temperature will be calculate as,

q = mcΔT

Therefore,

ΔT = q / ( m × c)

[tex]= \frac{52.7}{14\times 0.384}\\ \\= 9.8 ^\circ C[/tex]

Hence, the change in temperature is 9.8°C

Eduard22sly

The temperature change of the wire is 9.8 °C

To solve this question, we'll begin by listing out what was given from the question. This includes:

Mass of wire (M) = 14 g

Heat gained by wire (Q) = 52.7 J

Specific heat capacity of copper wire (C) = 0.384 J/gºC

Change in temperature (ΔT) =?

From the above data, we can obtain the change in the temperature of the wire as follow:

Q = MCΔT

52.7 = 14 × 0.384 × ΔT

52.7 = 5.376 × ΔT

Divide both side by 5.376

ΔT = [tex]\frac{52.7}{5.376}\\\\\\[/tex]

ΔT = 9.8 °C

Therefore, the change in the temperature of the wire is 9.8 °C

Learn more: https://brainly.com/question/24813298

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