3490 J of heat are added to a 20.4 g sample
of iron at 20◦C. What is the final temperature
of the iron? The specific heat of iron is
0.449 J/g · K.
Answer in units of K.
To find the final temperature of the iron, we can use the formula for heat:
Q = m * c * ΔT
Where:
Q = heat added (3490 J)
m = mass of the iron sample (20.4 g)
c = specific heat of iron (0.449 J/g · K)
ΔT = change in temperature
We need to rearrange the formula to solve for ΔT:
ΔT = Q / (m * c)
Substituting the values:
ΔT = 3490 J / (20.4 g * 0.449 J/g · K)
ΔT = 3490 J / 9.1796 J/K
ΔT ≈ 380.125 K
To find the final temperature, we need to add the initial temperature of the iron sample (20°C) to the change in temperature:
Final temperature = Initial temperature + ΔT
Final temperature = 20°C + 380.125 K
Final temperature ≈ 400.125 K
Therefore, the final temperature of the iron sample is approximately 400.125 K.