If the energy used to heat up a block of 2kg of copper is 115.8 kJ, what is the temperature it was heated to if the starting temperature was 100oC and the specific heat capacity is 386 J/kgK.
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q = mass x specific heat x (Tfinal-Tinitial)
To find the temperature to which the block of copper was heated, we can use the equation:
Q = mcΔT
Where:
Q is the energy input (115.8 kJ = 115,800 J)
m is the mass of the copper block (2 kg)
c is the specific heat capacity of copper (386 J/kgK)
ΔT is the change in temperature
We need to rearrange the equation to solve for ΔT:
ΔT = Q / (mc)
Now, let's plug in the given values:
ΔT = (115,800 J) / (2 kg * 386 J/kgK)
ΔT = 115,800 J / 772 J/K
ΔT ≈ 150 K
The change in temperature is approximately 150 degrees Celsius. However, we need to find the final temperature, not the change in temperature.
To calculate the final temperature, we need to add the change in temperature to the initial temperature:
Final temperature = Initial temperature + ΔT
Final temperature = 100°C + 150°C
Final temperature ≈ 250°C
Therefore, the copper block was heated to approximately 250°C.