A 0.190 kg piece of copper is heated and fashioned into a bracelet. The amount of energy transferred as heat to the copper is 6.62 x 10^4 J. If the specific heat of copper is 387 J/kg x °C, what is the change in temp of the copper?
To find the change in temperature of the copper, we can use the formula:
Energy transferred = mass × specific heat × change in temperature
We are given:
Mass of copper = 0.190 kg
Energy transferred as heat = 6.62 x 10^4 J
Specific heat of copper = 387 J/kg x °C
Substituting the given values into the formula, we can solve for the change in temperature:
6.62 x 10^4 J = 0.190 kg × 387 J/kg x °C × change in temperature
Dividing both sides of the equation by (0.190 kg × 387 J/kg x °C):
change in temperature = (6.62 x 10^4 J) / (0.190 kg × 387 J/kg x °C)
change in temperature ≈ 90.5 °C
Therefore, the change in temperature of the copper is approximately 90.5°C.
To find the change in temperature of the copper, we can use the formula:
Q = mcΔT
Where:
Q is the amount of energy transferred as heat (6.62 x 10^4 J)
m is the mass of the copper (0.190 kg)
c is the specific heat of copper (387 J/kg x °C)
ΔT is the change in temperature we want to find.
Now, rearranging the formula to solve for ΔT:
ΔT = Q / (mc)
Substituting the given values:
ΔT = (6.62 x 10^4 J) / (0.190 kg * 387 J/kg x °C)
Calculating:
ΔT = (6.62 x 10^4 J) / (73.53 J/°C)
ΔT ≈ 898.9 °C
Therefore, the change in temperature of the copper is approximately 898.9 °C.
Heat= mass*specificheat*changetemp
solve for change in temp.