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.
temperature needed = energy/ mass x specific heat capacity
temperature needed=115800/2*112.85
the temperature needed 246.25∘C
please let me know what's missing.
ty
246.25°C is close to the answer, but for the wrong reasons.
E=MC(T2-T1)
E=115800 J
T2=unknown
T1=100 °C
C=386 J/(kg-°K)
Solve for T2.
Note: (T2-T1) should be both in °K, but since it is a difference, it is acceptable to have them both in °C.
The formula you are using to calculate the temperature change of an object is correct:
temperature change = energy / (mass * specific heat capacity)
However, there is a small mistake in the calculation. To calculate the temperature change, you need to subtract the initial temperature from the final temperature, not just the final temperature. Here's the corrected calculation:
temperature change = energy / (mass * specific heat capacity)
= 115800 / (2 * 386)
≈ 149.6 °C
To find the final temperature, you need to add the temperature change to the initial temperature:
final temperature = initial temperature + temperature change
= 100 + 149.6
≈ 249.6 °C
Therefore, the final temperature of the copper block is approximately 249.6 °C.
Please note that the final answer may vary slightly due to the use of approximate values in the calculations.