1125 J of energy is used to heat 250 g of iron. After heating, the final temperature of the iron is measured as 55 °C. The specific heat capacity of iron is 0.45 J/(g·°C).
What was the initial temperature of the iron?
A. 45
B. 55
C. 20
D. 35
I don't know how to do this
what did you get
q = 1125 = mass Fe x specific heat Fe x (Tfinal-Tinitial)
Substitute and solve for Tinitial.
Post your work if you get stuck.
thanks
To solve this problem, we can use the formula:
q = m * c * ΔT
Where:
q is the heat energy absorbed or released by the substance,
m is the mass of the substance,
c is the specific heat capacity of the substance, and
ΔT is the change in temperature.
In this case, we know that:
q = 1125 J (the energy used to heat the iron),
m = 250 g (the mass of the iron),
c = 0.45 J/(g·°C) (the specific heat capacity of iron), and
ΔT = 55 °C - initial temperature (the change in temperature).
Rearranging the formula, we have:
ΔT = q / (m * c)
Substituting the known values, we get:
55 °C - initial temperature = 1125 J / (250 g * 0.45 J/(g·°C))
Now, let's calculate the change in temperature:
ΔT = 1125 J / (250 g * 0.45 J/(g·°C))
ΔT ≈ 10 °C
Therefore, we can determine the initial temperature by subtracting the change in temperature from the final temperature:
Initial temperature = 55 °C - 10 °C = 45 °C
So, the correct option is A. 45.