what will be the final temperature if 2000g of copper at 95 degrees loses 10 kcal
of heat?
q = mass x specific heat x (Tf-Tinitial)
q must have the proper sign.
To calculate the final temperature of copper after losing heat, we can use the formula:
Q = mcΔT
where:
Q is the heat energy (in calories)
m is the mass of the substance (in grams)
c is the specific heat capacity of the substance (in cal/g°C)
ΔT is the change in temperature (in °C)
First, it is important to convert the given heat energy from kcal to calories. Since 1 kcal = 1000 cal, 10 kcal is equal to 10,000 cal.
Given:
m (mass of copper) = 2000g
ΔT (change in temperature) = final temperature - initial temperature = Tf - 95°C
Q (heat energy) = -10,000 cal (negative sign indicates heat loss)
Next, we need to determine the specific heat capacity of copper. The specific heat capacity of copper is approximately 0.39 cal/g°C.
Now we can rearrange the formula to find the final temperature:
Q = mcΔT
-10,000 = (2000)(0.39)(Tf - 95)
-10,000 = 780(Tf - 95)
Now, let's solve for Tf:
-10,000 = 780Tf - 74100
780Tf = -10,000 + 74100
780Tf = 64100
Tf = 64100 / 780
Tf ≈ 82.18°C
Therefore, the final temperature of the copper will be approximately 82.18°C.